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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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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