Homework Statement
Determine the total electrostatic potential energy of a nonconducting sphere of radius r0 carrying a total charge Q distributed uniformly throughout its volume.
Express your answer in terms of the variables Q, r0, and appropriate constants.
Homework Equations
V = kQ/r...
Ok. Here's my work:
For a), my gaussian surface is between the two shells
For b), my gaussian surface is outside both shells
a) ∫E dA = Q_enc/ε_0
E(4πr^2) = [ρ((4/3)π(R_1)^3)]/[ε_0]
E = [ρ((4/3)π(R_1)^3]/[(ε_0)(4πr^2)]
E = [ρ(R_1)^3]/[3(ε_0)(r^2)]
b)∫E dA = Q_enc/ε_0
E(4πr^2) =...
1. Homework Statement
A nonconducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume charge density ρ throughout the shell. Use Gauss's law to derive an equation for the magnitude of the electric field at the following radial distances r from the center of...
Homework Statement
A nonconducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume charge density ρ throughout the shell. Use Gauss's law to derive an equation for the magnitude of the electric field at the following radial distances r from the center of the...