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Q10CQ

Expert-verifiedFound in: Page 694

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Explain.**

Yes, a non-uniformly charged sphere's potential might be the same as a point charge.

**At any distance from the charge, the electric potential owing to a point charge equals **

${\mathbf{V}}{\mathbf{=}}{\mathbf{k}}\frac{\mathbf{q}}{\mathbf{r}}$

Where k is a Coulomb's constant potential V at radius r .

At any point outside the volume of a sphere, the potential will be the same as the point charge because all the charges on the sphere can be assumed to be concentrated at one point.

Hence, outside the sphere, the electric field is the same as that of the point charge.

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