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Electric potential of disk with uniform surface charge

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A disk with radius R has uniform surface charge density .

By regarding the disk as a series of thin concentric rings, calculate the electric potential V at a point on the disk's axis a distance x from the center of the disk. Assume that the potential is zero at infinity. (Hint: Use the result that potential at a point on the ring axis at a distance x from the center of the ring is where Q is the charge of the ring.)

Calculate .

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  • A disk with radius.doc
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Solution Summary

The solution shows how to calculate the electric potential V at a point on the disk's axis a distance x from the center of the disk, which has uniform surface charge density. The solution is detailed and well presented.

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Yanfang Li, PhD

Rating 4.9/5

Active since 2006

BS, Tianjin University, China
MS, Tianjin University, China
PhD, University of Toledo

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Extracted Content from Question Files:

  • A disk with radius.doc

A disk with radius has uniform surface charge density .

By regarding the disk as a series of thin concentric rings, calculate the electric potential
at a point on the disk's axis a distance from the center of the disk. Assume that the
potential is zero at infinity. (Hint: Use the result that potential at a point on the ring axis

at a distance x from the center of the ring is where is the charge of
the ring.)

Calculate .