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Question

A short electric dipole moment p is placed at a distance r from the centre of a solid metallic sphere of radius a(<<r) as shown in the figure. The electric field intensity at the centre of sphere C due to induced charge on the sphere is :
195820_fc31d5c0758d4815b6f423d95ed3cc58.png

A
zero
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B
14πε02pr3 along CO
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C
14πε02pr3 along OC
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D
14πε0pr3 along CO
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Solution

The correct option is B 14πε02pr3 along CO
Electric field at C due to electric dipole
=14πε02pr3 along OC
Electric field at C due to induced charge must be equal and opposite to electric field due to dipole as net field at C is zero.

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