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Q. 35

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Found in: Page 684

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A neutral conductor contains a hollow cavity in which there is apoint charge. A charged rod then transfers to the conductor. Afterward, what is the charge (a) on the inner wall of the cavity, and (b) on the exterior surface of the conductor?

a. The charge on the cavity's inner wall is.

b. The charge on the conductor's outer surface is.

See the step by step solution

## Step 1: Figure for charge on the cavity's inner wall  (part a)

(a).

Figurefor charge on the cavity's inner wall is shown below,

## Step 2: Calculation for charge on the cavity's inner wall  part (a) solution

(a).

Even though there is a positive charge in the cavity, the electric field inside any conductor is zero.

As demonstrated figure,theinside the cavity creates a negative charge of the same magnitude on the cavity's inner surface.

As a result, the charge on the cavity's inner surface is the same magnitude as the charge within, but in the opposite direction.

So,

## Step 3: Figure for charge on the exterior surface of the conductor (part b)

(b).

Figurefor charge on the exterior surface of the conductor shown below,

## Step 4: Calculation for on the exterior surface of the conductor part(b) solution

(b).

The initial charge on the conductor's surface isbefore conducting the rod, as indicated in the figure.

This happens because the negative charge on the cavity's inner surface produces a positive charge on the conductor's external surface to keep it neutral.

The negative charge transfers to the outside surface after conducting the rod at.

The net charge becomes,