A conducting spherical shell of inner radius r1 and outer radius r2 has a charge Q on it. An additional charge, also Q, is then added to the sphere. What is the resulting charge per unit area on the outer surface of the sphere?

Question

Physics

Elsie

13 June, 17:21

A conducting spherical shell of inner radius r1 and outer radius r2 has a charge Q on it. An additional charge, also Q, is then added to the sphere. What is the resulting charge per unit area on the outer surface of the sphere?

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Answers (1)

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Markus Jennings · Answer 1

Since the spherical shell is conducting, all the charge will lie on the outer surface.

Total charge

= Q + Q = 2Q

surface area = 4πr₂²

surface charge density = charge / surface area

= 2Q / 4πr₂²