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 ε\varepsilon (Fig. 3.9). Find the total bound charges at the inner and outer surfaces of the dielectric

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