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In a conducting hollow sphere of inner a...

In a conducting hollow sphere of inner and outer radii 5 cm and 10 cm, respectively, a point charge 1 C is placed at point A, that is 3 cm from the center C of the hollow sphere. An external uniform electric field to magnitude `20 NC^(-1)` is also applied. Net electric force on this charge is 15 N, away from the center of the sphere as shown. Find the magnitude of net force exerted on the charge placed at point A by the induced charges on the sphere

A

15 N

B

20 N

C

5 N

D

35 N

Text Solution

Verified by Experts

The correct Answer is:
D
d. External applied field's effect is neutralized by charge induced on outer surface, i.e., their combined effect is zero. Hence, force applied by induced charges on outer surface should be equal and opposite to that applied by electric field. This is equal to `qE=1xx20=20N` toward left. `15N` force is only due to induced charged on the inside surface of the hollow sphere. Hence, net force by induced charges is `15+20=35N`.
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