q1 capacitance for a spherical capacitor find the capacitance for a sp
Question
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