Q1. Capacitance for a Spherical Capacitor

Find the capacitance for a spherical capacitor, which

consists of 2 conducting concentric shells of radii

R₁ and R₂. The shells carry excess charges Q and - Q.

a) Calculate the E field between the shells via Gauss's

Law.

b) Obtain AV between the "plates"

AV =

c) Use C = Q/AV and show C = ¹ (₁₂)

ke R₂-R1

R₂

E(r)dr

Gaussian

surface

Ä