Problem 53P

In Ex. 3.8 we determined the electric field outside a spherical conductor (radius R) placed in a uniform external field E0. 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, diametrically opposite q. Let a→∞, with

Reference equation 3.76

Reference example 3. 2

A point charge q is situated a distance a from the center of a grounded conducting sphere of radius R (Fig. 3.12). Find the potential outside the sphere.

Solution

Step 1 of 3

In this problem, we have to determine the electric field outside a spherical conductor which is placed in external field. The free body diagram is given below.