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# the net electric flux through the closed surface

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See attached file for illustration.

The figure shows a hollow cavity within a neutral conductor. A point charge Q is inside the cavity.

What is the net electric flux through the closed surface that surrounds the conductor?

https://brainmass.com/physics/gauss-law/net-electric-flux-conductor-371739

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Please see the detailed solution in the attached file.

Apply Gauss law to find the net electric flux.

First we need to figure out the charges on the two surfaces of the conductor.
We know for sure that (1) the electric field inside a conductor is 0 and (2) the charges on the conductor can only be on its surfaces.
By Gauss law, the charge on the cavity surface is -Q, which is drawn there by the point charge Q. By this way, when you draw the blue Gaussian surface, the enclosed net charge is 0. So then the electric field is 0 inside the conductor.
The charge on the outer surface of the conductor is +Q since the total charge inside the conductor is 0.

Thus, when we draw the Gaussian surface outside the conductor, the enclosed net charge is +Q +(-Q) + Q = +Q.
Applying Gauss law, the net electric flus is:

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