All Problems

Constant Electric Field in a Vacuum

Problem 3.28

Inside a ball charged uniformly with volume density \(\rho\) there is a spherical cavity. The centre of the cavity is displaced with respect to the centre of the ball by a distance \(a\). Find the field strength \(\mathbf{E}\) inside the cavity, assuming the permittivity equal to unity.

Reveal Answer
E=1/3aρ/ε0\mathbf{E}=1 / 3 \mathbf{a} \rho / \varepsilon_{0}