Introduction to Electrodynamics · Problem 3.53

Potentials — David J. Griffiths

Physics · method-of-images-sphere

Problem

In Ex. 3.8 we determined the electric field outside a spherical conductor (radius RR) placed in a uniform external field E0\mathbf{E}_0. Solve the problem now using the method of images, and check that your answer agrees with Eq. 3.76. [*Hint:* Use Ex. 3.2, but put another charge, −q-q, diametrically opposite qq. Let a→∞a \to \infty, with (1/4πϵ0)(2q/a2)=−E0(1/4\pi\epsilon_0)(2q/a^2) = -E_0 held constant.]

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