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)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2038891b-1da1-4fac-91c5-dd8fac246fa2%2F27611b60-c95e-4adc-884f-d66fdf583e95%2F60etx6o_processed.png&w=3840&q=75)
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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