All Problems

Constant Electric Field in a Vacuum

Problem 3.21

A ball of radius RR is uniformly charged with the volume density ρ\rho. Find the flux of the electric field strength vector across the ball's section formed by the plane located at a distance r0<Rr_{0} < R from the centre of the ball.

Reveal Answer
Φ=1/3πρr0(R2r02)/ε0|\Phi|=1 / 3 \pi \rho r_{0}\left(R^{2}-r_{0}^{2}\right) / \varepsilon_{0}