A nonconducting disk of radius R lies in the z = 0 planes with its center at the origin. The disk has a uniform surface charge density s. Find the value of z for which, the magnitude of the electric field strength is half the electric field strength at points on the x-axis that are very close to the disk.

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25 Jan 2023

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The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated in Example 23.3. Show that the electric field at distances x that are large compared with R approaches that of a particle with charge . Suggestion: First show that and use the binomial expansion , when .

Example 23.3. A disk of radius R has a uniform surface charge density . Calculate the electric field at a point P that lies along the central perpendicular axis of the disk and a distance x from the center of the disk.