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Q.

An electric dipole is placed at the centre of a sphere. Mark the correct answer

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a

the electric field is zero at every point of the sphere.

b

the flux of the electric field through the sphere is zero.

c

the electric potential is zero on a circle on the surface.

d

the electric potential is zero everywhere on the sphere.

answer is A, D.

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Detailed Solution

Inside the sphere, net charge is zero due to dipole.

qin=0 ϕsphere=qinε0=0

Question Image

Potential due to the dipole will be zero at the plane perpendicular to the dipole and passing through the mid-point of the dipole. This equi-potential surface of the dipole intersect the sphere and form a circle on the sphere. This circular intersection will have zero potential.

Hence, electric potential is zero on a circle on the surface.

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