A spherical capacitor consists of a spherical conductor of radius b, and a concentric spherical conducting shell of inner radius 4b. A lossless dielectric material with permittivity ɛ is placed at 4b >R> 3b while there is free space at 3b > R > b. a) Calculate the capacitance of this сарacitor. b) If the capacitor is initially uncharged, calculate the work needed to charge this capacitor by an amount of Q.

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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A spherical capacitor consists of a spherical
conductor of radius b, and a concentric
spherical conducting shell of inner radius
4b. A lossless dielectric material with
permittivity ɛ is placed at 4b >R> 3b while
there is free space at 3b > R > b.
a) Calculate the capacitance of this
сарacitor.
b) If the capacitor is initially uncharged,
calculate the work needed to charge this
capacitor by an amount of Q.
Transcribed Image Text:A spherical capacitor consists of a spherical conductor of radius b, and a concentric spherical conducting shell of inner radius 4b. A lossless dielectric material with permittivity ɛ is placed at 4b >R> 3b while there is free space at 3b > R > b. a) Calculate the capacitance of this сарacitor. b) If the capacitor is initially uncharged, calculate the work needed to charge this capacitor by an amount of Q.
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