1a) Consider a conductor with an excess charge of Q. If there is no electric fie

Question

1a) Consider a conductor with an excess charge of Q. If there is no electric field inside the conductor (by definition), then what is the amount of excess charge enclosed by the Gaussian surface just inside the surface of the conductor? Hint: Use the three-dimensional Gauss’ law here.

1b) If the conductor has excess charge and it can’t be inside the Gaussian surface according to Gauss’ law, then what’s the only place the charge can be?

1c.) Given the fact that as like charges, the excess charges will repel each other, is the conclusion you reached in part b. above physically reasonable? Explain. Hint: How can each unit of excess charge that is repelling every other unit of excess charge get as far away as possible from the other excess charges on the conductor?

Surface ofcanductar Surfae of conductor Gaussian surface just barely inside surfece of conductor Gaussian surface Fig. 20.5. Diagram showing how an imaginary Gaussian surface can be constructed just inside the surface of the conductor.

Explanation / Answer

1)

The charge enclosed inside the Gaussian Surface is ZERO.

2)

The Excess Charge resides on the surface of the conductor.

3)

Basically all the excess charges gets distributed and finally reside on the surface of the conductor

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