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2- Consider the three dielectric materials listed in the below table. At a given voltage, which dielectric will have the lowest power dissipation per unit capacitance at 60 Hz? Is this also true at 1 MHz?

2- Consider the three dielectric materials listed in the below table. At a given voltage, which dielectric will have the lowest power dissipation per unit capacitance at 60 Hz? Is this also true at 1 MHz?

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.26MCQ: Does r=e14r=0.788r, which comes in calculation of inductance, play a role in capacitance...
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1- Show that the dielectric loss per unit capacitance in a capacitor in terms of the loss tangent is: WCap = wVPtanō W cap= V/R, x 1/C 2- Consider the three dielectric materials listed in the below table. At a given voltage, which dielectric will have the lowest power dissipation per unit capacitance at 60 Hz? Is this also true at 1 MHz? S= 60 Hz S = 1 MHz Material tan 8 o tan 8 tan 8 a tan 8 Polycarbonate Silicone rubber Epoxy with mineral filler 9 x 10-4 2.25 x 10-2 4.7 × 10-2 1x 10- 4 x 10-3 3 x 10-2 6.2 x 104 2.5 x 104 18 x 104 3.17 0.34 2.96 3.7 8.48 3.4 5 17.7 3.4 3- Calculate the heat generated per second due to dielectric loss per cm: of cross-linked polyethylene, XLPE (typical power cable insulator), and alumina, Al:O: (typical substrate in thin- and thick-film electronics), at 60 Hz and 1 MHz at a field of 100 kV cm-1. Their properties are given in below table. What is your conclusion? f = 60 Hz f = 1 MHz Loss Los (mW cm) (W cm) (W cm' K-) E, = 8.85 × 10-12 F m-1 Material tan 8 tan 8 3 x 104 1 x 10-3 4 x 104 1 x 10-3 XLPE 2.3 0.230 2.3 5.12 0.005 Alumina 8.5 2.84 8.5 47.3 0.33 24
Transcribed Image Text:1- Show that the dielectric loss per unit capacitance in a capacitor in terms of the loss tangent is: WCap = wVPtanō W cap= V/R, x 1/C 2- Consider the three dielectric materials listed in the below table. At a given voltage, which dielectric will have the lowest power dissipation per unit capacitance at 60 Hz? Is this also true at 1 MHz? S= 60 Hz S = 1 MHz Material tan 8 o tan 8 tan 8 a tan 8 Polycarbonate Silicone rubber Epoxy with mineral filler 9 x 10-4 2.25 x 10-2 4.7 × 10-2 1x 10- 4 x 10-3 3 x 10-2 6.2 x 104 2.5 x 104 18 x 104 3.17 0.34 2.96 3.7 8.48 3.4 5 17.7 3.4 3- Calculate the heat generated per second due to dielectric loss per cm: of cross-linked polyethylene, XLPE (typical power cable insulator), and alumina, Al:O: (typical substrate in thin- and thick-film electronics), at 60 Hz and 1 MHz at a field of 100 kV cm-1. Their properties are given in below table. What is your conclusion? f = 60 Hz f = 1 MHz Loss Los (mW cm) (W cm) (W cm' K-) E, = 8.85 × 10-12 F m-1 Material tan 8 tan 8 3 x 104 1 x 10-3 4 x 104 1 x 10-3 XLPE 2.3 0.230 2.3 5.12 0.005 Alumina 8.5 2.84 8.5 47.3 0.33 24
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