All Problems

Constant Electric Field in a Vacuum

Problem 3.18

Find the electric field strength vector at the centre of a ball of radius \(R\) with volume charge density \(\rho=\) ar, where a is a constant vector, and \(\mathbf{r}\) is a radius vector drawn from the ball's centre.

Reveal Answer
E=1/6aR2/ε0\mathbf{E}=-1 / 6 \mathbf{a} R^{2} / \varepsilon_{0}