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Question

Find the magnitude of the electric field (|Eind|) at the center of the sphere due to the induced charges on the sphere.


A
Kq2
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B
Kq8
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C
Kq5
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D
Kq4
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Solution

The correct option is D Kq4
We know that, net electric field inside a conductor is zero
i.e. (Enet)@O=0

Since the net electric field at the center is the sum of the electric fields due to charge q and due to the induced charge on the sphere,

Enet=Eq+Eind=0

Eind=Eq

|Eind|=Kq(2)2=Kq4

Hence, option (d) is the correct answer.

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