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A solid conductor has a hole inside. The net charge on the conduction (outer sur

ID: 1653445 • Letter: A

Question

A solid conductor has a hole inside. The net charge on the conduction (outer surface + inner surface) is 3 nC. There is a charge of -2 nC on the inner surface of the conductor (i.e., the surface of the hole) due to a charge in the center of the hole. What is the charge in the hole and the charge on the outer surface of the conductor?

(a.) 2 nC inside the hole and 5 nC on the outer surface.

(b.) -2 nC inside the hole and 1 nC on the outer surface.

(c.) -3 nC inside the hole and zero on the outer surface.

(d.) +3 nC inside the hole and zero on the outer surface.

(e.) -2 nC inside the hole and 5 nC on the outer surface.

Explanation / Answer

Solution:

As we know;

By the law of induction of charges;

The equal and opposite charge is induced against a test charge(charge inside the hole here).

=> charge inside the hole = 2 nC

and as to maintain the net charge of the solid conductor the outer surface will now have a charge equal to:

Q (outer) -2 nC = 3 nC

=> Q (outer) = 5 nC

Hence;

Option-A is correct

(a.) 2 nC inside the hole and 5 nC on the outer surface.

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