All Problems

Constant Electric Field in a Vacuum

Problem 3.32

Find the electric field potential and strength at the centre of a hemisphere of radius \(R\) charged uniformly with the surface density \(\sigma\).

Reveal Answer
φ=1/2σR/ε0,E=1/4σ/ε0\varphi=1 / 2 \sigma R / \varepsilon_{0}, E=1 / 4 \sigma / \varepsilon_{0}