12/2009 Rev.1. magnet wire / winding wire engineering data handbook
|
|
- Λεφτέρις Βυζάντιος
- 7 χρόνια πριν
- Προβολές:
Transcript
1 12/2009 Rev.1 magnet wire / winding wire engineering data handbook
2 All statements, technical information and recommendations made herein by Essex Group, Inc. ( Seller ) are based on tests it believes to be reliable, but the accuracy or completeness thereof is not guaranteed, and such information is provided AS IS without any warranties of any kind. Buyer shall determine the suitability of the Products for his intended use, and assumes all risks and responsibility for loss or damage resulting from the handling or use of the Products. Seller warrants that at the time of delivery the Products will be free from material defects in workmanship and materials under normal use and will conform substantially to Seller s applicable specifications. As Buyer s sole and exclusive remedy and Seller s entire liability for any breach of the foregoing warranty, Seller will, at its sole option and expense, either refund the purchase price paid, or repair or replace the Product which fails to meet this warranty upon return of the nonconforming Product; provided, Buyer notifies Seller of noncompliance in writing within sixty (60) days of delivery of such Product. These warranties do not apply to any Product that was not properly stored or handled by the Buyer, that was repaired or altered or was otherwise subject to abuse, neglect or improper use by Buyer, or that has any stage of processing performed on it which causes the defect. EXCEPT WITH RESPECT TO THE SPECIFIC WARRANTIES SET FORTH IN THIS PARAGRAPH, SELLER MAKES NO OTHER WARRANTIES WHATSOEVER, EXPRESS OR IMPLIED AND SPECIFICALLY DISCLAIMS ANY WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT WILL SELLER BE LIABLE TO BUYER FOR ANY INDIRECT, INCIDENTAL, SPECIAL, PUNITIVE, DELAY, OR CONSEQUENTIAL DAMAGES, INCLUDING WITHOUT LIMITATION, LOSS OF DIRECT OR INDIRECT PROFITS, REVENUE, OR USE, WHETHER ARISING IN CONTRACT, TORT, OR OTHERWISE, EVEN IF BUYER OR ANY OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. IN NO EVENT WILL SELLER S AGGREGATE LIABILITY TO BUYER EXCEED ALL AMOUNTS ACTUALLY PAID BY BUYER TO SELLER. THESE LIMITATIONS SHALL APPLY NOTWITHSTANDING ANY FAILURE OF ESSENTIAL PURPOSE OF THE LIMITED REMEDY SET FORTH IN THIS PARAGRAPH. 12/2009 Rev.1 Contents of this book have been revised to reflect NEMA's publishing of ANSI/NEMA MW , Revision Magnet Wire. Please contact NEMA for information regarding the specific changes to the NEMA MW 1000 publication. magnet wire / winding wire i engineering data
3 ii engineering data CONTENTS ENGINEERING DATA Conductor Properties Round, Film-Insulated Wire (continued) Square, Served Wire Weights: (continued) Dimensions: Copper & Aluminum Medium Film Build: Copper Polyester Glass, Bare, Area, Weight and Resistance and s and Heavy Film: Copper Physical and Electrical Properties Heavy Build & Self-Bonding, Type : Copper Polyimide and Aromatic Polyimide Tapes Resistance Correction Factors s System s Standard s Recommended Winding Tensions Triple Build & Self-Bonding, Type : Copper s Rectangular Wire Dimensions, Area, Weight and s Dimensions: Resistance Values Single Film Build: Aluminum Heavy Film Build and s Served Wire Additions Round, Bare Wire Medium Film Build: Aluminum Double Polyester Glass Dimensions: and s Single Polyimide Tape and s Heavy Film Build: Aluminum Double Polyimide Tape Cross-Sectional Area: s 0 Single Aromatic Polyamide Paper s Resistance: Dimensions: Copper, Bare Weights: Self-Bonding Aluminum, Bare s Type, s Weights: s 0 Type, s Copper, Bare Resistance: Type, s Aluminum, Bare Copper, s Type, s Copper, s Preferred Number Series s Aluminum, s Round, Served Wire Aluminum, s Dimensions: Polyester Glass and Polyimide Tape Rectangular Wire Preferred Number Series Summary 0 Round, Film-Insulated Wire and s Dimensions: Dimensions: Heavy Film Build Single Film Build Square, Bare Wire Served Wire Additions: s Dimensions and Area: Single Polyester Glass s and s Double Polyester Glass Medium Film Build Resistance and Weight: and s Copper, and s Bare Wire Heavy Film Build Aluminum, & s Dimensional Limits & Corner Radii s Weight Corner Losses s Square, Film-Insulated Wire Triple Film Build Dimensions: Rectangular, Bare and s 0 Heavy Film Build Weights: Weights: and s 0 Copper, Bare Single Film Build: Copper Aluminum, Bare s Resistance: s Copper, Bare Aluminum, Bare
4 engineering data Copper and Aluminum CROSS-SECTIONAL AREA CONDUCTOR PROPERTIES AREA, WEIGHT AND RESISTANCE Round Wire For round conductor, where the cross-sectional area may be more Circular Mil Area = D 2 conveniently expressed in Circular Mils, the following formulas are Square Mil Area = /4 D 2 = D 2 useful: Square Inch Area = x 10-6 D 2 General Formula: Lbs./1000 Ft. = (d) (D 2 ) Where: D= Diameter of bare conductor in mils (1/1000 inches), i.e " Diam. = 40.3 mils Copper: Lbs./1000 Ft. = D 2 Aluminum: Lbs./1000 Ft. = D 2 Square and Rectangular Wire Where: D = Diameter of bare conductor, mils. Circular Mil Area = (WT R 2 ) d = Density of conductor metal, grams/cm 3. Square Mil Area = WT R 2 Formulas for weight are based on density of 8.89 for copper Square Inch Area = 1 x 10-6 (WT R 2 ), or and for aluminum. = wt r 2, when w, t and r are expressed in inches. Note: 1 sq. mil = 10-6 sq. inches. CONDUCTOR RESISTANCE: Ohms Per 1000 Feet Where: T = Thickness in mils. W = Width in mils. Round Conductor: R = Corner Radius in mils. General Formula: Ohms/1000 Ft. = 1000 R For square wire: W = T. D 2 For rectangular wire with full round edges: Copper: Ohms/1000 Ft. = R = T D 2 2 Note: When calculations involve any of the following Aluminum: Ohms/1000 Ft. = standard ASTM corner radii, the values for Corner D 2 Area Loss listed below may be substituted for the Where: R = Volume resistivity, ohm x circ.mil / ft. term "0.8584R 2 " in the above formulas. D = Bare conductor diameter, mils. Nominal ASTM* Corner Area Corner Radii (Inches) Loss Factors WEIGHT OF BARE CONDUCTOR (cont'd) Square and Rectangular Conductor: General Formula: Ohms/1000 Ft. = R A Copper: Ohms/1000 Ft. = A Aluminum: Ohms/1000 Ft. = A Where: R = Volume resistivity, ohm x circ. mil / ft. 1 Copper = ohm x circ. mil / ft. * ASTM Standard B 48 for Copper and Aluminum = ohm x circ. mil / ft. ASTM Standard B 324 for Aluminum. A = Cross-sectional area, square mils. WEIGHT OF BARE CONDUCTOR 1 The volume resistivity factors at 20 C are based on conductivities of 100% copper, and 61.8% aluminum IACS for soft, annealed conductors. Conductivities for hard drawn conductors are: Copper 97% and Aluminum 61%. Ohms Per Pound Pounds Per 1000 Feet For any conductor, Ohms/Lb. = Ohms/1000 Ft. General Formula: Lbs./1000 Ft. = (d) (A) Lbs./1000 Ft. Copper: Lbs./1000 Ft. = A Aluminum: Lbs./1000 Ft. = A Feet Per Ohm Where: A = Bare conductor cross-sectional area in square mils. For any conductor, Feet/Ohm = 1000 d = Density of conductor, grams/cm3 Ohms/1000 Ft.
5 engineering data Copper & Aluminum PHYSICAL AND ELECTRICAL PROPERTIES Physical Properties Copper Aluminum Electrical Properties Copper Aluminum Density, 0 C ( F) IACS Volume Conductivity, Minimum %, Pounds/Inch C ( F) Grams/Centimeter..0 Volume Resistivity, Maximum 0 C ( F) Thermal Capacity, 0 C ( F) (Ohm) x (circular mil) / foot 0.. BTU/Pound/ F (Ohm) x (millimeter )/ meter Thermal Conductivity, 0 C ( F) Weight Resistivity, Maximum 0 C ( F) BTU/Foot /Sec/ F/Inch. 0. (Ohm) x (pound) / mile.0 0. Gram-calories/mm /Sec/ C/cm (Ohm) x (gram) / meter Thermal Coefficient of Expansion, Linear Thermal Coefficient of Resistance, 0 C ( F) Change in Unit Length at 0 C/ C. x 0 -. x 0 - Change in Unit Resistance at 0 C/ C Melting Point C 0 0 F 0 0 Tensile Characteristics, Annealed, 0 C ( F) Ultimate Strength Pounds/Inch,000-0,000,000 -,000 Kilograms Force/mm Yield Strength, 0.% Off-Set Pounds/Inch,000 -,000,000 -,000 Kilograms Force/mm equivalent resistivity values Material Volume Conductivity at 20 C (68 F) Percent IACS CONDUCTOR PROPERTIES Volume RESISTIVITY CONSTANTS AT 20 C (68 F) Ohm-circ. mil per foot Ohm-mm 2 per meter Microhm-inch Microhm-centimeter Copper Aluminum Weight Ohm-pound per mile 2 Ohm-gram per meter
6 engineering data CONDUCTOR PROPERTIES Copper & Aluminum RESISTANCE CORRECTION FACTORS Based on Temperature Coefficient of Resistance (α 0 ) Where: Note: Copper (00% IACS), α 0 = 0.00 R 0 = Resistance at reference temperature, 0 C Aluminum (.% IACS), α 0 = R T = Resistance at other temperature, T C Wire resistance corrections outside the range of the above table may be calculated using the following formulas: () R 0 = R T or + α0 (T-0) () R T = R 0 { + α0 (T-0)} To Reduce Known R T to R 20, Multiply R T By: To Convert Known R 20 to R T Multiply R 20 By: Temperature C Copper Aluminum Copper T = α0 = Aluminum The temperature at which measurement is made (Eq. #) or to which reference resistance is to be converted (Eq. #). Temperature Coefficient of Resistance at reference temperature for conductor metal used.
7 engineering data ROUND, CONDUCTOR PROPERTIES Copper & Aluminum SYSTEM Although there is a world-wide trend to the International System (SI) or metric measurement, the current practice in wire measurement in the United States is generally the use of the customary English units. The current practice of the National Institute of Standards and Technology (NIST), The Institute of Electrical and Electronics Engineers (IEEE) and The American Society for Testing and Materials (ASTM) is to reflect American Wire Gauge in parallel with the metric units of measurement. In the technical tables of this publication, this parallel practice is reflected. The American Wire Gauge, like some other gauge systems, does generally represent steps in the wire drawing process. In addition to that, the numbers are retrogressive to the wire size - that is, the larger the number the smaller the wire. These gauge sizes are not arbitrary, but are a geometric progression. With the definition of two sizes in the series of gauge sizes, all size related properties of any gauge in the series is defined by that relationship. With 0000 as 0.00 inch and as and gauge sizes between these two, the ratio of any diameter to the next larger diameter can be determined as follows: = 92 = The square of this ratio is:.0 This square of the ratio between sizes can be used as a means of obtaining the resistance, mass and cross-section of any wire size if one has memorized these values for only one size. This conversion number can be easily remembered as.. Therefore: Knowing 0 has a cross-section of 00 circular mils tells us will have / x 00 or approximately 0 circular mils. If we had memorized the resistance of 0 as 0 ohms/000 feet, would have less resistance by 0 / or approximately ohms/000 feet. Since the function is geometric, the cube of this / is approximately. This allows you to easily calculate the dimensional functions in gauge increments. Every three gauge sizes the resistance, mass per unit length, and cross-section will double or halve. Then with a 0 cross-section of 00 circular mils, will be approximately 00 mils and will be approximately 0 circular mils. Using this relationship, with the commitment to memory of the crosssectional area, resistance and mass per unit length for any one size, you can move quickly to the value for any other wire size. For diameter calculation, remembering one diameter, the diameter will double or halve every six gauges and for each gauge the next larger gauge diameter is 0% or. times the smaller gauge. If you remember six contiguous gauges in mils, e.g. -, you would know all diameters by this rule. Actually, if you just remember as. mils and the spread between these gauges is. mil except between and 0 where it is. mil and and is. mil, you will have quick access to all gauge diameters.
8 Note: Start-up acceleration surge can produce tensions well in excess of running tensions and need to be taken into consideration. magnet wire / winding wire engineering data ROUND, CONDUCTOR PROPERTIES Copper & Aluminum WINDING TENSIONS COPPER ALUMINUM COPPER ALUMINUM WHOLE WHOLE Recommended Recommended Recommended Recommended SIZE Maximum* Maximum* SIZE Maximum* Maximum* Tension (Lbs.) Tension (Lbs.) Tension (Grams) Tension (Grams) ***. 0. ***..0 ***.. 0 *** 0.. ***.. 0 ***.. ***.. ***. 0. *** ***..0 ***. 0. ***.. ***.. *** 0.. ***.. *** Grams. Grams. 0 Grams. Grams This table contains the maximum recommended winding tensions and is offered as a guide to establishing effective winding tensions. Use the minimum winding tension that produces a good winding. The type of winder, payoff device, and type of coil will vary the tensions used. Some minor variations in the softness of the wire from one lot to another may also dictate minor adjustments. * Maximum recommended tensions are based upon,000 p.s.i. for copper and,00 p.s.i. for aluminum. The units are listed in Lbs. unless indicated by "Grams".
9 ROUND, BARE WIRE Copper & Aluminum Bare Wire Diameter Bare Wire Diameter Minimum Nominal Maximum Minimum Nominal Maximum Inches mm Inches mm Inches mm Inches mm Inches mm Inches mm DIMENSIONS 4/ /0 3/ /0 2/ /0 1/ / Nominal The nominal bare wire diameters, in inches, in this table are calculated using the basic mathematical characteristics of the American Wire Gauge: X = (0.0050)( )(36-N) Where: X = nominal bare wire diameter in inches to be determined 36 = the number of the base diameter = nominal base diameter in inches for 36 N = the equivalent number of X, where N is normally a whole number = = the ratio of the diameter of any size to the (smaller) diameter of the next larger size. For sizes 4/0 to 2/0, N is a negative number from -3 to -1. magnet wire / winding wire 6 engineering data
10 engineering data ROUND, BARE WIRE Copper & Aluminum CROSS-SECTIONAL AREA Minimum Nominal Maximum Circ. Mils Sq. mm. Sq. Mils. Sq. In. Circ. Mils Sq. mm. Sq. Mils. Sq. In. Circ. Mils Sq. mm. Sq. Mils. Sq. In E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E-06 46
11 engineering data Copper & Aluminum CROSS-SECTIONAL AREAS ROUND, BARE WIRE Minimum Nominal Maximum Circ. Mils Sq. mm. Sq. Mils. Sq. In. Circ. Mils Sq. mm. Sq. Mils. Sq. In. Circ. Mils Sq. mm. Sq. Mils. Sq. In. 1 ½ E E E-02 1 ½ 2 ½ E E E-02 2 ½ 3 ½ E E E-02 3 ½ 4 ½ E E E-02 4 ½ 5 ½ E E E-02 5 ½ 6 ½ E E E-02 6 ½ 7 ½ E E E-02 7 ½ 8 ½ E E E-02 8 ½ 9 ½ E E E-03 9 ½ 10 ½ E E E ½ 11 ½ E E E ½ 12 ½ E E E ½ 13 ½ E E E ½ 14 ½ E E E ½ 15 ½ E E E ½ 16 ½ E E E ½ 17 ½ E E E ½ 18 ½ E E E ½ 19 ½ E E E ½ 20 ½ E E E ½ 21 ½ E E E ½ 22 ½ E E E ½ 23 ½ E E E ½ 24 ½ E E E ½ 25 ½ E E E ½ 26 ½ E E E ½ 27 ½ E E E ½ 28 ½ E E E ½ 29 ½ E E E ½ 30 ½ E E E ½ 31 ½ E E E ½ 32 ½ E E E ½ 33 ½ E E E ½ 34 ½ E E E ½ 35 ½ E E E ½ 36 ½ E E E ½ 37 ½ E E E ½ 38 ½ E E E ½ 39 ½ E E E ½ 40 ½ E E E ½ 41 ½ E E E ½ 42 ½ E E E ½ 43 ½ E E E ½ 44 ½ E E E ½
12 engineering data Lbs. Per 1000 ft. Kg per Kilomtr Lbs. Per 1000 ft. Kg per Kilomtr Lbs. Per 1000 ft. ROUND, BARE WIRE Copper & Aluminum WEIGHTS COPPER ALUMINUM Minimum Nominal Maximum Minimum Nominal Maximum Kg per Kilomtr Lbs. Per 1000 ft. Kg per Kilomtr Lbs. Per 1000 ft. Kg per Kilomtr Lbs. Per 1000 ft. Kg per Kilomtr 4/ /0 3/ /0 2/ /0 1/ / *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** *** 46
13 10 engineering data Lbs. Per 1000 Ft. COPPER Minimum Nominal Kg per Kilometer Lbs. Per 1000 Ft. Kg per Kilometer Lbs. Per 1000 Ft. ROUND, BARE WIRE Copper & Aluminum WEIGHTS ALUMINUM Maximum Minimum Nominal Maximum Kg per Kilometer Lbs. Per 1000 Ft. Kg per Kilometer Lbs. Per 1000 Ft. Kg per Kilometer Lbs. Per 1000 Ft. Kg per Kilometer 1 ½ ½ 2 ½ ½ 3 ½ ½ 4 ½ ½ 5 ½ ½ 6 ½ ½ 7 ½ ½ 8 ½ ½ 9 ½ ½ 10 ½ ½ 11 ½ ½ 12 ½ ½ 13 ½ ½ 14 ½ ½ 15 ½ ½ 16 ½ ½ 17 ½ ½ 18 ½ ½ 19 ½ ½ 20 ½ ½ 21 ½ ½ 22 ½ ½ 23 ½ ½ 24 ½ ½ 25 ½ ½ 26 ½ ½ 27 ½ ½ 28 ½ ½ 29 ½ ½ 30 ½ *** *** *** *** *** *** 30 ½ 31 ½ *** *** *** *** *** *** 31 ½ 32 ½ *** *** *** *** *** *** 32 ½ 33 ½ *** *** *** *** *** *** 33 ½ 34 ½ *** *** *** *** *** *** 34 ½ 35 ½ *** *** *** *** *** *** 35 ½ 36 ½ *** *** *** *** *** *** 36 ½ 37 ½ *** *** *** *** *** *** 37 ½ 38 ½ *** *** *** *** *** *** 38 ½ 39 ½ *** *** *** *** *** *** 39 ½ 40 ½ *** *** *** *** *** *** 40 ½ 41 ½ *** *** *** *** *** *** 41 ½ 42 ½ *** *** *** *** *** *** 42 ½ 43 ½ *** *** *** *** *** *** 43 ½ 44 ½ *** *** *** *** *** *** 44 ½
14 11 engineering data Ohms per 1000 Ft. Ohms per Kilomtr Ohms per 1000 Ft. ROUND, BARE WIRE Copper RESISTANCE BARE CONDUCTOR RESISTANCE Minimum* Nominal Maximum Nominal Ohms per Kilomtr Ohms per 1000 Ft. Ohms per Kilomtr * Minimum resistance values are based on maximum bare diameter and 0.% IACS conductivity. Nominal and maximum resistance values are based on nominal bare diameter and 00.0% IACS conductivity. Feet per Ohm Nominal Meters per Ohm
15 12 engineering data ROUND, BARE WIRE Copper RESISTANCE BARE CONDUCTOR RESISTANCE Minimum* Nominal Maximum Nominal Nominal Ohms per Ohms per Ohms per Ohms per Ohms per Ohms per Feet per Meters per 1000 Ft. Kilomtr 1000 Ft. Kilomtr 1000 Ft. Kilomtr Ohm Ohm 1 ½ ½ 2 ½ ½ 3 ½ ½ 4 ½ ½ 5 ½ ½ 6 ½ ½ 7 ½ ½ 8 ½ ½ 9 ½ ½ 10 ½ ½ 11 ½ ½ 12 ½ ½ 13 ½ ½ 14 ½ ½ 15 ½ ½ 16 ½ ½ 17 ½ ½ 18 ½ ½ 19 ½ ½ 20 ½ ½ 21 ½ ½ 22 ½ ½ 23 ½ ½ 24 ½ ½ 25 ½ ½ 26 ½ ½ 27 ½ ½ 28 ½ ½ 29 ½ ½ 30 ½ ½ 31 ½ ½ 32 ½ ½ 33 ½ ½ 34 ½ ½ 35 ½ ½ 36 ½ ½ 37 ½ ½ 38 ½ ½ 39 ½ ½ 40 ½ ½ 41 ½ ½ 42 ½ ½ 43 ½ ½ 44 ½ ½ * Minimum resistance values are based on maximum bare diameter and 0.% IACS conductivity. Nominal and maximum resistance values are based on nominal bare diameter and 00.0% IACS conductivity.
16 Values are based on a resistivity of. ohm - circ. mil/ft. at 0 C (.% IACS Conductivity) for soft, annealed 0 (EC) aluminum. In practice, conductors of higher conductivity will often be encountered, yielding a resistance lower than that specificed when conductor dimensions are at or near maximum tolerance limits. magnet wire / winding wire 13 engineering data ROUND, BARE WIRE Aluminum RESISTANCE BARE CONDUCTOR RESISTANCE Minimum* Nominal Maximum** Nominal Nominal Feet Ohms per Ohms per Ohms per Ohms per Ohms per Ohms per Meters per per Ohm 1000 Ft. Kilomtr 1000 Ft. Kilomtr 1000 Ft. Kilomtr Ohm * Minimum resistance values are based on maximum bare diameter. ** Maximum resistance values are based on minimum bare diameter.
17 Values are based on a resistivity of. ohm - circ. mil/ft. at 0 C (.% IACS Conductivity) for soft, annealed 0 (EC) aluminum. In practice, conductors of higher conductivity will often be encountered, yielding a resistance lower than that specified when conductor dimensions are at or near maximum tolerance limits. magnet wire / winding wire 14 engineering data ROUND, BARE WIRE Aluminum RESISTANCE BARE CONDUCTOR RESISTANCE Minimum* Nominal Maximum** Nominal Nominal Ohms per Ohms per Ohms per Ohms per Ohms per Ohms per Feet per Meters per 1000 Ft. Kilometer 1000 Ft. Kilometer 1000 Ft. Kilometer Ohm Ohm 1 ½ ½ 2 ½ ½ 3 ½ ½ 4 ½ ½ 5 ½ ½ 6 ½ ½ 7 ½ ½ 8 ½ ½ 9 ½ ½ 10 ½ ½ 11 ½ ½ 12 ½ ½ 13 ½ ½ 14 ½ ½ 15 ½ ½ 16 ½ ½ 17 ½ ½ 18 ½ ½ 19 ½ ½ 20 ½ ½ 21 ½ ½ 22 ½ ½ 23 ½ ½ 24 ½ ½ 25 ½ ½ 26 ½ ½ 27 ½ ½ * Minimum resistance values are based on maximum bare diameter. ** Maximum resistance values are based on minimum bare diameter.
18 Copper & Aluminum WHOLE SIZE ROUND, SINGLE BUILD FILM-INSULATED WIRE Bare Wire Diameter Increase in Diameter Due to Film Coating Overall Diameter of Film-Coated Wire Minimum Nominal Maximum Minimum Maximum Inches mm Inches mm Inches mm Inches mm Inches mm DIMENSIONS WHOLE SIZE From NEMA Standards Publication No. MW magnet wire / winding wire 15 engineering data
19 ROUND, SINGLE BUILD FILM-INSULATED WIRE Copper & Aluminum DIMENSIONS HALF SIZE Bare Wire Diameter Minimum Nominal Maximum Increase in Diameter Due to Film Coating Overall Diameter of Film-Coated Wire Minimum Maximum Inches mm Inches mm Inches mm Inches mm Inches mm HALF SIZE From NEMA Standards Publication No. MW magnet wire / winding wire 16 engineering data
20 17 engineering data Copper & Aluminum Increase in Diameter Overall Diameter of Due to Film Coating Film-Coated Wire Minimum Maximum Inches mm Inches mm Inches mm Inches mm Inches mm ROUND, MEDIUM BUILD FILM-INSULATED WIRE Bare Wire Diameter Minimum Nominal Maximum Bare Wire Diameter Increase in Diameter Due to Film Coating Overall Diameter of Film-Coated Wire DIMENSIONS Minimum Nominal Maximum Minimum Maximum Inches mm Inches mm Inches mm Inches mm Inches mm 14 ½ ½ 15 ½ ½ 16 ½ ½ 17 ½ ½ 18 ½ ½ 19 ½ ½ 20 ½ ½ 21 ½ ½ 22 ½ ½ 23 ½ ½ 24 ½ ½ 25 ½ ½ 26 ½ ½ 27 ½ ½ 28 ½ ½ 29 ½ ½ 30 ½ ½ 31 ½ ½ 32 ½ ½
Magnet Wire General Engineering Data Bare and Film Insulated Copper and Aluminum
Magnet Wire General Engineering Data Bare and Film Insulated Copper and Aluminum CABLE Magnet Wire General Engineering Data Bare and Film Insulated Copper and Aluminum Forward This booklet contains engineering
Διαβάστε περισσότεραStrain gauge and rosettes
Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified
Διαβάστε περισσότεραApproximation of distance between locations on earth given by latitude and longitude
Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth
Διαβάστε περισσότεραPrecision Metal Film Fixed Resistor Axial Leaded
Features EIA standard colour-coding Non-Flame type available Low noise and voltage coefficient Low temperature coefficient range Wide precision range in small package Too low or too high ohmic value can
Διαβάστε περισσότεραthe total number of electrons passing through the lamp.
1. A 12 V 36 W lamp is lit to normal brightness using a 12 V car battery of negligible internal resistance. The lamp is switched on for one hour (3600 s). For the time of 1 hour, calculate (i) the energy
Διαβάστε περισσότεραTechnical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)]
d Suva refrigerants Technical Information T-9100SI Thermodynamic Properties of Suva 9100 Refrigerant [R-410A (50/50)] Thermodynamic Properties of Suva 9100 Refrigerant SI Units New tables of the thermodynamic
Διαβάστε περισσότεραDuPont Suva 95 Refrigerant
Technical Information T-95 ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered
Διαβάστε περισσότεραDuPont Suva 95 Refrigerant
Technical Information T-95 SI DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered
Διαβάστε περισσότεραDuPont Suva. DuPont. Thermodynamic Properties of. Refrigerant (R-410A) Technical Information. refrigerants T-410A ENG
Technical Information T-410A ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 410A Refrigerant (R-410A) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered
Διαβάστε περισσότεραhp surestore h/a tape array 5500
hp surestore h/a tape array 5500 1 2 5 6 3 4 7 8 HP Surestore H/A Tape Array 5500 - µ, : 3 µ 1: µ µ µ 5 µ 2 : µ M5 7 2 : µ M6 9 µ 3 : µ HP 11 3 : µ 13 µ 4 : HP 15 4 : 17. µ 5 : HP 19 5 : 21. µ 6: µ 23
Διαβάστε περισσότεραderivation of the Laplacian from rectangular to spherical coordinates
derivation of the Laplacian from rectangular to spherical coordinates swapnizzle 03-03- :5:43 We begin by recognizing the familiar conversion from rectangular to spherical coordinates (note that φ is used
Διαβάστε περισσότερα[1] P Q. Fig. 3.1
1 (a) Define resistance....... [1] (b) The smallest conductor within a computer processing chip can be represented as a rectangular block that is one atom high, four atoms wide and twenty atoms long. One
Διαβάστε περισσότεραFLAME-X 950 (N)HXCH FE180/E90 0,6/1kV DIN VDE 0266, DIN
Halogen- free low smoke fire resistant security power cables with copper concentric conductor CONSTRUCTION Conductors: bare copper conductor, circular solid class 1 (RE) or stranded circular or circular
Διαβάστε περισσότερα2 Composition. Invertible Mappings
Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,
Διαβάστε περισσότεραSurface Mount Multilayer Chip Capacitors for Commodity Solutions
Surface Mount Multilayer Chip Capacitors for Commodity Solutions Below tables are test procedures and requirements unless specified in detail datasheet. 1) Visual and mechanical 2) Capacitance 3) Q/DF
Διαβάστε περισσότεραThin Film Chip Resistors
FEATURES PRECISE TOLERANCE AND TEMPERATURE COEFFICIENT EIA STANDARD CASE SIZES (0201 ~ 2512) LOW NOISE, THIN FILM (NiCr) CONSTRUCTION REFLOW SOLDERABLE (Pb FREE TERMINATION FINISH) Type Size EIA PowerRating
Διαβάστε περισσότερα3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β
3.4 SUM AND DIFFERENCE FORMULAS Page Theorem cos(αβ cos α cos β -sin α cos(α-β cos α cos β sin α NOTE: cos(αβ cos α cos β cos(α-β cos α -cos β Proof of cos(α-β cos α cos β sin α Let s use a unit circle
Διαβάστε περισσότεραHOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:
HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying
Διαβάστε περισσότεραCalculating the propagation delay of coaxial cable
Your source for quality GNSS Networking Solutions and Design Services! Page 1 of 5 Calculating the propagation delay of coaxial cable The delay of a cable or velocity factor is determined by the dielectric
Διαβάστε περισσότεραMetal thin film chip resistor networks
Metal thin film chip resistor networks AEC-Q200 Compliant Features Relative resistance and relative TCR definable among multiple resistors within package. Relative resistance : ±%, relative TCR: ±1ppm/
Διαβάστε περισσότεραMultilayer Ceramic Chip Capacitors
FEATURES X7R, X6S, X5R AND Y5V DIELECTRICS HIGH CAPACITANCE DENSITY ULTRA LOW ESR & ESL EXCELLENT MECHANICAL STRENGTH NICKEL BARRIER TERMINATIONS RoHS COMPLIANT SAC SOLDER COMPATIBLE* PART NUMBER SYSTEM
Διαβάστε περισσότεραInstruction Execution Times
1 C Execution Times InThisAppendix... Introduction DL330 Execution Times DL330P Execution Times DL340 Execution Times C-2 Execution Times Introduction Data Registers This appendix contains several tables
Διαβάστε περισσότεραCHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS
CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =
Διαβάστε περισσότεραOperating Temperature Range ( C) ±1% (F) ± ~ 1M E-24 NRC /20 (0.05) W 25V 50V ±5% (J) Resistance Tolerance (Code)
FEATURES EIA STANDARD SIZING 0201(1/20), 0402(1/16), 0603(1/10), 0805(1/8), 1206(1/4), 1210(1/3), 2010(3/4) AND 2512(1) METAL GLAZED THICK FILM ON HIGH PURITY ALUMINA SUBSTRATE..(CERMET) PROVIDES UNIFORM
Διαβάστε περισσότεραSection 9.2 Polar Equations and Graphs
180 Section 9. Polar Equations and Graphs In this section, we will be graphing polar equations on a polar grid. In the first few examples, we will write the polar equation in rectangular form to help identify
Διαβάστε περισσότεραTechnical Data for Profiles. α ( C) = 250 N/mm 2 (36,000 lb./in. 2 ) = 200 N/mm 2 (29,000 lb./in 2 ) A 5 = 10% A 10 = 8%
91 500 201 0/11 Aluminum raming Linear Motion and Assembly Technologies 1 Section : Engineering Data and Speciications Technical Data or Proiles Metric U.S. Equivalent Material designation according to
Διαβάστε περισσότεραSection 8.3 Trigonometric Equations
99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.
Διαβάστε περισσότεραLecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3
Lecture 2: Dirac notation and a review of linear algebra Read Sakurai chapter 1, Baym chatper 3 1 State vector space and the dual space Space of wavefunctions The space of wavefunctions is the set of all
Διαβάστε περισσότεραAluminum Electrolytic Capacitors (Large Can Type)
Aluminum Electrolytic Capacitors (Large Can Type) Snap-In, 85 C TS-U ECE-S (U) Series: TS-U Features General purpose Wide CV value range (33 ~ 47,000 µf/16 4V) Various case sizes Top vent construction
Διαβάστε περισσότεραOther Test Constructions: Likelihood Ratio & Bayes Tests
Other Test Constructions: Likelihood Ratio & Bayes Tests Side-Note: So far we have seen a few approaches for creating tests such as Neyman-Pearson Lemma ( most powerful tests of H 0 : θ = θ 0 vs H 1 :
Διαβάστε περισσότερα5.4 The Poisson Distribution.
The worst thing you can do about a situation is nothing. Sr. O Shea Jackson 5.4 The Poisson Distribution. Description of the Poisson Distribution Discrete probability distribution. The random variable
Διαβάστε περισσότεραMultilayer Ceramic Chip Capacitors
FEATURES X7R, X6S, X5R AND Y5V DIELECTRICS HIGH CAPACITANCE DENSITY ULTRA LOW ESR & ESL EXCELLENT MECHANICAL STRENGTH NICKEL BARRIER TERMINATIONS RoHS COMPLIANT SAC SOLDER COMPATIBLE* Temperature Coefficient
Διαβάστε περισσότεραAluminum Electrolytic Capacitors
Aluminum Electrolytic Capacitors Snap-In, Mini., 105 C, High Ripple APS TS-NH ECE-S (G) Series: TS-NH Features Long life: 105 C 2,000 hours; high ripple current handling ability Wide CV value range (47
Διαβάστε περισσότεραHomework 3 Solutions
Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For
Διαβάστε περισσότεραDATA SHEET Surface mount NTC thermistors. BCcomponents
DATA SHEET 2322 615 1... Surface mount N thermistors Supersedes data of 17th May 1999 File under BCcomponents, BC02 2001 Mar 27 FEATURES High sensitivity High accuracy over a wide temperature range Taped
Διαβάστε περισσότεραLS series ALUMINUM ELECTROLYTIC CAPACITORS CAT.8100D. Specifications. Drawing. Type numbering system ( Example : 200V 390µF)
Snap-in Terminal Type, 85 C Standard Withstanding 3000 hours application of rated ripple current at 85 C. Compliant to the RoHS directive (2011/65/EU). LS Smaller LG Specifications Item Category Temperature
Διαβάστε περισσότεραST5224: Advanced Statistical Theory II
ST5224: Advanced Statistical Theory II 2014/2015: Semester II Tutorial 7 1. Let X be a sample from a population P and consider testing hypotheses H 0 : P = P 0 versus H 1 : P = P 1, where P j is a known
Διαβάστε περισσότεραEE512: Error Control Coding
EE512: Error Control Coding Solution for Assignment on Finite Fields February 16, 2007 1. (a) Addition and Multiplication tables for GF (5) and GF (7) are shown in Tables 1 and 2. + 0 1 2 3 4 0 0 1 2 3
Διαβάστε περισσότερα6.1. Dirac Equation. Hamiltonian. Dirac Eq.
6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2
Διαβάστε περισσότεραUDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example:
UDZ Swirl diffuser Swirl diffuser UDZ, which is intended for installation in a ventilation duct, can be used in premises with a large volume, for example factory premises, storage areas, superstores, halls,
Διαβάστε περισσότεραSmaller. 6.3 to 100 After 1 minute's application of rated voltage at 20 C, leakage current is. not more than 0.03CV or 4 (µa), whichever is greater.
Low Impedance, For Switching Power Supplies Low impedance and high reliability withstanding 5000 hours load life at +05 C (3000 / 2000 hours for smaller case sizes as specified below). Capacitance ranges
Διαβάστε περισσότεραShenzhen Lys Technology Co., Ltd
Carbide drawing dies Properties of grade Grade Density TRS Average Grain size Hardness (HRA) (g/cm3) (MPa) (ųm) YL01 15.25 93.5 3300 0.8 YL10.2 14.5 92.0 4000 0.8 YG6 14.95 90 2400 1.6 YG6X 14.95 91.5
Διαβάστε περισσότεραIf we restrict the domain of y = sin x to [ π, π ], the restrict function. y = sin x, π 2 x π 2
Chapter 3. Analytic Trigonometry 3.1 The inverse sine, cosine, and tangent functions 1. Review: Inverse function (1) f 1 (f(x)) = x for every x in the domain of f and f(f 1 (x)) = x for every x in the
Διαβάστε περισσότεραMonolithic Crystal Filters (M.C.F.)
Monolithic Crystal Filters (M.C.F.) MCF (MONOLITHIC CRYSTAL FILTER) features high quality quartz resonators such as sharp cutoff characteristics, low loss, good inter-modulation and high stability over
Διαβάστε περισσότερα1000 VDC 1250 VDC 125 VAC 250 VAC J K 125 VAC, 250 VAC
Metallized Polyester Film Capacitor Type: ECQE(F) Non-inductive construction using metallized Polyester film with flame retardant epoxy resin coating Features Self-healing property Excellent electrical
Διαβάστε περισσότεραCapacitors - Capacitance, Charge and Potential Difference
Capacitors - Capacitance, Charge and Potential Difference Capacitors store electric charge. This ability to store electric charge is known as capacitance. A simple capacitor consists of 2 parallel metal
Διαβάστε περισσότεραΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007
Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Αν κάπου κάνετε κάποιες υποθέσεις να αναφερθούν στη σχετική ερώτηση. Όλα τα αρχεία που αναφέρονται στα προβλήματα βρίσκονται στον ίδιο φάκελο με το εκτελέσιμο
Διαβάστε περισσότεραSurface Mount Aluminum Electrolytic Capacitors
FEATURES CYLINDRICAL V-CHIP CONSTRUCTION LOW COST, GENERAL PURPOSE, 2000 HOURS AT 85 O C NEW EXPANDED CV RANGE (up to 6800µF) ANTI-SOLVENT (2 MINUTES) DESIGNED FOR AUTOMATIC MOUNTING AND REFLOW SOLDERING
Διαβάστε περισσότεραAreas and Lengths in Polar Coordinates
Kiryl Tsishchanka Areas and Lengths in Polar Coordinates In this section we develop the formula for the area of a region whose boundary is given by a polar equation. We need to use the formula for the
Διαβάστε περισσότεραIf we restrict the domain of y = sin x to [ π 2, π 2
Chapter 3. Analytic Trigonometry 3.1 The inverse sine, cosine, and tangent functions 1. Review: Inverse function (1) f 1 (f(x)) = x for every x in the domain of f and f(f 1 (x)) = x for every x in the
Διαβάστε περισσότεραΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006
Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Ολοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα είναι μικρότεροι το 1000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Διάρκεια: 3,5 ώρες Καλή
Διαβάστε περισσότεραΕργαστήριο Ανάπτυξης Εφαρμογών Βάσεων Δεδομένων. Εξάμηνο 7 ο
Εργαστήριο Ανάπτυξης Εφαρμογών Βάσεων Δεδομένων Εξάμηνο 7 ο Procedures and Functions Stored procedures and functions are named blocks of code that enable you to group and organize a series of SQL and PL/SQL
Διαβάστε περισσότεραData sheet Thick Film Chip Resistor 5% - RS Series 0201/0402/0603/0805/1206
Data sheet Thick Film Chip Resistor 5% - RS Series 0201/0402/0603/0805/1206 Scope -This specification applies to all sizes of rectangular-type fixed chip resistors with Ruthenium-base as material. Features
Διαβάστε περισσότεραCHAPTER 12: PERIMETER, AREA, CIRCUMFERENCE, AND 12.1 INTRODUCTION TO GEOMETRIC 12.2 PERIMETER: SQUARES, RECTANGLES,
CHAPTER : PERIMETER, AREA, CIRCUMFERENCE, AND SIGNED FRACTIONS. INTRODUCTION TO GEOMETRIC MEASUREMENTS p. -3. PERIMETER: SQUARES, RECTANGLES, TRIANGLES p. 4-5.3 AREA: SQUARES, RECTANGLES, TRIANGLES p.
Διαβάστε περισσότεραAssalamu `alaikum wr. wb.
LUMP SUM Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. LUMP SUM Lump sum lump sum lump sum. lump sum fixed price lump sum lump
Διαβάστε περισσότεραΑπόκριση σε Μοναδιαία Ωστική Δύναμη (Unit Impulse) Απόκριση σε Δυνάμεις Αυθαίρετα Μεταβαλλόμενες με το Χρόνο. Απόστολος Σ.
Απόκριση σε Δυνάμεις Αυθαίρετα Μεταβαλλόμενες με το Χρόνο The time integral of a force is referred to as impulse, is determined by and is obtained from: Newton s 2 nd Law of motion states that the action
Διαβάστε περισσότεραΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ
ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ ΕΛΕΝΑ ΦΛΟΚΑ Επίκουρος Καθηγήτρια Τµήµα Φυσικής, Τοµέας Φυσικής Περιβάλλοντος- Μετεωρολογίας ΓΕΝΙΚΟΙ ΟΡΙΣΜΟΙ Πληθυσµός Σύνολο ατόµων ή αντικειµένων στα οποία αναφέρονται
Διαβάστε περισσότεραFractional Colorings and Zykov Products of graphs
Fractional Colorings and Zykov Products of graphs Who? Nichole Schimanski When? July 27, 2011 Graphs A graph, G, consists of a vertex set, V (G), and an edge set, E(G). V (G) is any finite set E(G) is
Διαβάστε περισσότεραPotential Dividers. 46 minutes. 46 marks. Page 1 of 11
Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and
Διαβάστε περισσότεραThermistor (NTC /PTC)
ISO/TS16949 ISO 9001 ISO14001 2015 Thermistor (NTC /PTC) GNTC (Chip in Glass Thermistor) SMD NTC Thermistor SMD PTC Thermistor Radial type Thermistor Bare Chip Thermistor (Gold & silver Electrode) 9B-51L,
Διαβάστε περισσότεραAreas and Lengths in Polar Coordinates
Kiryl Tsishchanka Areas and Lengths in Polar Coordinates In this section we develop the formula for the area of a region whose boundary is given by a polar equation. We need to use the formula for the
Διαβάστε περισσότεραCHAPTER 48 APPLICATIONS OF MATRICES AND DETERMINANTS
CHAPTER 48 APPLICATIONS OF MATRICES AND DETERMINANTS EXERCISE 01 Page 545 1. Use matrices to solve: 3x + 4y x + 5y + 7 3x + 4y x + 5y 7 Hence, 3 4 x 0 5 y 7 The inverse of 3 4 5 is: 1 5 4 1 5 4 15 8 3
Διαβάστε περισσότεραMECHANICAL PROPERTIES OF MATERIALS
MECHANICAL PROPERTIES OF MATERIALS! Simple Tension Test! The Stress-Strain Diagram! Stress-Strain Behavior of Ductile and Brittle Materials! Hooke s Law! Strain Energy! Poisson s Ratio! The Shear Stress-Strain
Διαβάστε περισσότεραExample Sheet 3 Solutions
Example Sheet 3 Solutions. i Regular Sturm-Liouville. ii Singular Sturm-Liouville mixed boundary conditions. iii Not Sturm-Liouville ODE is not in Sturm-Liouville form. iv Regular Sturm-Liouville note
Διαβάστε περισσότεραMath 6 SL Probability Distributions Practice Test Mark Scheme
Math 6 SL Probability Distributions Practice Test Mark Scheme. (a) Note: Award A for vertical line to right of mean, A for shading to right of their vertical line. AA N (b) evidence of recognizing symmetry
Διαβάστε περισσότεραMean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O
Q1. (a) Explain the meaning of the terms mean bond enthalpy and standard enthalpy of formation. Mean bond enthalpy... Standard enthalpy of formation... (5) (b) Some mean bond enthalpies are given below.
Διαβάστε περισσότεραInverse trigonometric functions & General Solution of Trigonometric Equations. ------------------ ----------------------------- -----------------
Inverse trigonometric functions & General Solution of Trigonometric Equations. 1. Sin ( ) = a) b) c) d) Ans b. Solution : Method 1. Ans a: 17 > 1 a) is rejected. w.k.t Sin ( sin ) = d is rejected. If sin
Διαβάστε περισσότερα2R2. 2 (L W H) [mm] Wire Wound SMD Power Inductor. Nominal Inductance Packing Tape & Reel. Design Code M ±20%
Wire Wound SMD Power Inductors WPN Series Operating temperature range : -40 ~+125 (Including self-heating) FEATURES Fe base metal material core provides large saturation current Metallization on ferrite
Διαβάστε περισσότερα± 20% ± 5% ± 10% RENCO ELECTRONICS, INC.
RL15 RL16, RL17, RL18 MINIINDUCTORS CONFORMALLY COATED MARKING The nominal inductance is marked by a color code as listed in the table below. Color Black Brown Red Orange Yellow Green Blue Purple Grey
Διαβάστε περισσότεραHISTOGRAMS AND PERCENTILES What is the 25 th percentile of a histogram? What is the 50 th percentile for the cigarette histogram?
HISTOGRAMS AND PERCENTILES What is the 25 th percentile of a histogram? The point on the horizontal axis such that of the area under the histogram lies to the left of that point (and to the right) What
Διαβάστε περισσότεραPractice Exam 2. Conceptual Questions. 1. State a Basic identity and then verify it. (a) Identity: Solution: One identity is csc(θ) = 1
Conceptual Questions. State a Basic identity and then verify it. a) Identity: Solution: One identity is cscθ) = sinθ) Practice Exam b) Verification: Solution: Given the point of intersection x, y) of the
Διαβάστε περισσότεραThe Simply Typed Lambda Calculus
Type Inference Instead of writing type annotations, can we use an algorithm to infer what the type annotations should be? That depends on the type system. For simple type systems the answer is yes, and
Διαβάστε περισσότεραCross sectional area, square inches or square millimeters
Symbols A E Cross sectional area, square inches or square millimeters of Elasticity, 29,000 kips per square inch or 200 000 Newtons per square millimeter (N/mm 2 ) I Moment of inertia (X & Y axis), inches
Διαβάστε περισσότεραΔΙΑΣΤΑΣΕΙΣ ΕΣΩΤΕΡΙΚΗΣ ΓΩΝΙΑΣ INTERNAL CORNER SIZES
ΔΙΑΣΤΑΣΕΙΣ ΕΣΩΤΕΡΙΚΗΣ ΓΩΝΙΑΣ 90 90 INTERNAL CORNER SIZES ΟΠΤΙΚΗ PERSPECTIVE ΠΑΝΩ ΟΨΗ TOP VIEW ΔΙΑΣΤΑΣΕΙΣ ΡΑΦΙΩΝ SHELF DIMENSIONS T1 ΜΕΓΙΣΤΟ ΕΠΙΤΡΕΠΟΜΕΝΟ ΦΟΡΤΙΟ (1) MAXIMUM LOADING CAPACITIES (1) ΤΥΠΙΚΑ
Διαβάστε περισσότερα4.6 Autoregressive Moving Average Model ARMA(1,1)
84 CHAPTER 4. STATIONARY TS MODELS 4.6 Autoregressive Moving Average Model ARMA(,) This section is an introduction to a wide class of models ARMA(p,q) which we will consider in more detail later in this
Διαβάστε περισσότεραCreative TEchnology Provider
1 Oil pplication Capacitors are intended for the improvement of Power Factor in low voltage power networks. Used advanced technology consists of metallized PP film with extremely low loss factor and dielectric
Διαβάστε περισσότεραSolutions to Exercise Sheet 5
Solutions to Eercise Sheet 5 jacques@ucsd.edu. Let X and Y be random variables with joint pdf f(, y) = 3y( + y) where and y. Determine each of the following probabilities. Solutions. a. P (X ). b. P (X
Διαβάστε περισσότεραΟδηγίες Εγγραφής στις Εξετάσεις για Ανεξάρτητους Υποψηφίους
Οδηγίες Εγγραφής στις Εξετάσεις για Ανεξάρτητους Υποψηφίους Ιανουάριος 2017 Έκδοση 4.1 Απρίλιος 2018 Έκδοση 04.2 PeopleCert Certifying Professionals E-mail: info@peoplecert.org, www.peoplecert.org Copyright
Διαβάστε περισσότεραStatistical Inference I Locally most powerful tests
Statistical Inference I Locally most powerful tests Shirsendu Mukherjee Department of Statistics, Asutosh College, Kolkata, India. shirsendu st@yahoo.co.in So far we have treated the testing of one-sided
Διαβάστε περισσότεραOn a four-dimensional hyperbolic manifold with finite volume
BULETINUL ACADEMIEI DE ŞTIINŢE A REPUBLICII MOLDOVA. MATEMATICA Numbers 2(72) 3(73), 2013, Pages 80 89 ISSN 1024 7696 On a four-dimensional hyperbolic manifold with finite volume I.S.Gutsul Abstract. In
Διαβάστε περισσότεραLecture 2. Soundness and completeness of propositional logic
Lecture 2 Soundness and completeness of propositional logic February 9, 2004 1 Overview Review of natural deduction. Soundness and completeness. Semantics of propositional formulas. Soundness proof. Completeness
Διαβάστε περισσότεραCorrection Table for an Alcoholometer Calibrated at 20 o C
An alcoholometer is a device that measures the concentration of ethanol in a water-ethanol mixture (often in units of %abv percent alcohol by volume). The depth to which an alcoholometer sinks in a water-ethanol
Διαβάστε περισσότεραTHICK FILM CHIP RESISTOR" CAL-CHIP ELECTRONICS INC."
THICK FILM CHIP RESISTOR CAL-CHIP ELECTRONICS INC. CAL-CHIP SERIES: RM SERIES 1 2 3 INTRODUCTION SCOPE Applies to all sizes of rectangular-type fixed chip resistors with Ruthenium base as material. FEATURES
Διαβάστε περισσότεραPhys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)
Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts
Διαβάστε περισσότεραPipe E235N (St 37.4 NBK) phosphated and oiled
Pipe E235N (St 37.4 NBK) phosphated and oiled Working Pressure Burst Pressure 4X1ST37.4NBK* 4 x 1.0 3201041000 397 459 555 2600 0.07 6X1ST37.4NBK 6 x 1.0 3201061000 252 289 394 1560 0.12 6X1.5ST37.4NBK
Διαβάστε περισσότεραMetal Oxide Varistors (MOV) Data Sheet
Φ SERIES Metal Oxide Varistors (MOV) Data Sheet Features Wide operating voltage (V ma ) range from 8V to 0V Fast responding to transient over-voltage Large absorbing transient energy capability Low clamping
Διαβάστε περισσότεραΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΣΥΣΤΗΜΑΤΩΝ ΗΛΕΚΤΡΙΚΗΣ ΕΝΕΡΓΕΙΑΣ
ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΣΥΣΤΗΜΑΤΩΝ ΗΛΕΚΤΡΙΚΗΣ ΕΝΕΡΓΕΙΑΣ ιπλωµατική Εργασία του φοιτητή του τµήµατος Ηλεκτρολόγων Μηχανικών και Τεχνολογίας Ηλεκτρονικών
Διαβάστε περισσότεραω ω ω ω ω ω+2 ω ω+2 + ω ω ω ω+2 + ω ω+1 ω ω+2 2 ω ω ω ω ω ω ω ω+1 ω ω2 ω ω2 + ω ω ω2 + ω ω ω ω2 + ω ω+1 ω ω2 + ω ω+1 + ω ω ω ω2 + ω
0 1 2 3 4 5 6 ω ω + 1 ω + 2 ω + 3 ω + 4 ω2 ω2 + 1 ω2 + 2 ω2 + 3 ω3 ω3 + 1 ω3 + 2 ω4 ω4 + 1 ω5 ω 2 ω 2 + 1 ω 2 + 2 ω 2 + ω ω 2 + ω + 1 ω 2 + ω2 ω 2 2 ω 2 2 + 1 ω 2 2 + ω ω 2 3 ω 3 ω 3 + 1 ω 3 + ω ω 3 +
Διαβάστε περισσότεραSCOPE OF ACCREDITATION TO ISO 17025:2005
SCOPE OF ACCREDITATION TO ISO 17025:2005 TFF CORPORATION TEKTRONIX COMPANY 1-14-1 Midorigaoka, Naka-gun, Ninomiya-machi, Kanagawa Pref. 259-0132 JAPAN Hideki Yuyama Phone: 81 463 70 5634 CALIBRATION Valid
Διαβάστε περισσότεραCRASH COURSE IN PRECALCULUS
CRASH COURSE IN PRECALCULUS Shiah-Sen Wang The graphs are prepared by Chien-Lun Lai Based on : Precalculus: Mathematics for Calculus by J. Stuwart, L. Redin & S. Watson, 6th edition, 01, Brooks/Cole Chapter
Διαβάστε περισσότεραC.S. 430 Assignment 6, Sample Solutions
C.S. 430 Assignment 6, Sample Solutions Paul Liu November 15, 2007 Note that these are sample solutions only; in many cases there were many acceptable answers. 1 Reynolds Problem 10.1 1.1 Normal-order
Διαβάστε περισσότεραOrdinal Arithmetic: Addition, Multiplication, Exponentiation and Limit
Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit Ting Zhang Stanford May 11, 2001 Stanford, 5/11/2001 1 Outline Ordinal Classification Ordinal Addition Ordinal Multiplication Ordinal
Διαβάστε περισσότεραSummary of Specifications
Snap Mount Large High CV High Ripple 85 C Temperature The series capacitors are the standard 85 C, large capacitance, snap-in capacitors from United Chemi-Con. The load life for the series is 2,000 hours
Διαβάστε περισσότεραSecond Order RLC Filters
ECEN 60 Circuits/Electronics Spring 007-0-07 P. Mathys Second Order RLC Filters RLC Lowpass Filter A passive RLC lowpass filter (LPF) circuit is shown in the following schematic. R L C v O (t) Using phasor
Διαβάστε περισσότεραCongruence Classes of Invertible Matrices of Order 3 over F 2
International Journal of Algebra, Vol. 8, 24, no. 5, 239-246 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/.2988/ija.24.422 Congruence Classes of Invertible Matrices of Order 3 over F 2 Ligong An and
Διαβάστε περισσότεραRoHS 555 Pb Chip Ferrite Inductor (MFI Series) Engineering Spec.
RoHS 555 Pb Chip Ferrite Inductor (MFI Series) Engineering Spec. PRODUCT DETAIL Electrical Characteristics μh L (Min) Q MHz (Min) SRF Ω DCR IDC ma TEST FREQ: MHz TEST LEVEL: 100 mv Test Instruments HP4291
Διαβάστε περισσότεραPb Chip Ferrite Inductor (MFI Series) Engineering Spec.
RoHS Pb Chip Ferrite Inductor (MFI Series) Engineering Spec. FEATURES The monolithic construction performs high reliability and ensures a closed magnetic flux in a component avoids magnetic and interference
Διαβάστε περισσότεραΕΠΙΤΟΙΧΑ ΡΑΦΙΑ WALL UNIT
ΕΠΙΤΟΙΧΑ ΡΑΦΙΑ WALL UNIT # # NO ΠΕΡΙΓΡΑΦΗ ΠΡΟΪΟΝΤΟΣ PRODUCT DESCRIPTION 1 ΚΟΛΩΝΑ UPRIGHT ΠΟΔΑΡΙΚΟ BASELEG 3 ΠΛΑΤΗ BACK PANEL 4 ΒΡΑΧΙΟΝΑΣ BRACKET 5 ΡΑΦΙ SHELF 6 ΚΟΡΝΙΖΑ ΤΙΜΩΝ PRICE STRIP 7 ΜΠΑΖΟ PLINTH
Διαβάστε περισσότερα38BXCS STANDARD RACK MODEL. DCS Input/Output Relay Card Series MODEL & SUFFIX CODE SELECTION 38BXCS INSTALLATION ORDERING INFORMATION RELATED PRODUCTS
DCS Input/Output Relay Card Series STANDARD RACK MODEL 38BXCS MODEL & SUFFIX CODE SELECTION 38BXCS MODEL CONNECTOR Y1 :Yokogawa KS2 cable use Y2 :Yokogawa KS9 cable use Y6 :Yokogawa FA-M3/F3XD32-3N use
Διαβάστε περισσότεραEcon 2110: Fall 2008 Suggested Solutions to Problem Set 8 questions or comments to Dan Fetter 1
Eon : Fall 8 Suggested Solutions to Problem Set 8 Email questions or omments to Dan Fetter Problem. Let X be a salar with density f(x, θ) (θx + θ) [ x ] with θ. (a) Find the most powerful level α test
Διαβάστε περισσότερα