All Problems

Conductors and Dielectrics in an Electric Field

Problem 3.76

A conductor of arbitrary shape, carrying a charge q, is surrounded with uniform dielectric of permittivity \(\varepsilon\) (Fig. 3.9). Find the total bound charges at the inner and outer surfaces of the dielectric

Reveal Answer
qinn=q(ε1)/ε,qout=q(ε1)/εq_{i n n}^{\prime}=-q(\varepsilon-1) / \varepsilon, q_{o u t}^{\prime}=q(\varepsilon-1) / \varepsilon