Problem: A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge, of positive charge q.What is the electric field E_ext outside the conductor?(a) Zero(b) The same as the field produced by a point charge q located at the center of the sphere.(c) The same as the field produced by a point charge located at the position of the charge in the cavity.

FREE Expert Solution

Gauss' law:

ϕE=E·dA=qencε0

The flux is the same because the charge enclosed has not changed.

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Problem Details

A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge, of positive charge q.

What is the electric field E_ext outside the conductor?

(a) Zero

(b) The same as the field produced by a point charge q located at the center of the sphere.

(c) The same as the field produced by a point charge located at the position of the charge in the cavity.

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