Answered: Estimate the dielectric losses in the…

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter12: Electronic Control Devices

Section: Chapter Questions

Problem 14RQ

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Question

Estimate the dielectric losses in the solid specimen subjected to an alternating field of 40KV/cm, has an absolute permittivity of 4.445 x10^-11 and the loss angle of that solid dielectric material is 0.28647at Oman power frequency. And also the same specimen while subjected to 3 KV/cm DC supply with the resistance value of 10 Mega Ohm, then determine the heat generated in the specimen.

Expert Solution

Step 1

Given that

E = 40 KV/cm

$ε_{r} = 4.445 \times 10^{- 11}$

$\tan δ = 0.28647$

f= 50 Hz

Although formula for di-electric loss is

$Di-electronic loss= \frac{E^{2} \times f \times ε_{r} \times \tan δ}{1.8 \times 10^{12}} {W/cm}^{3} plugging values Di-electronic loss= \frac{40 \times 40 \times 10^{6} \times 50 \times 4.445 \times 10^{- 11} \times 0.28647}{1.8 \times 10^{12}} {W/cm}^{3} {Di-electronic loss=56593.74×10}^{- 17} {W/cm}^{3} {Di-electronic loss=5.659374×10}^{- 13} {W/cm}^{3}$

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