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Q.

There is a square wire frame ABCD of side equal to b and whose centre is at a distance OP=b2  from an infinite line charge (parallel to BC and AD) with linear charge density λ  then [plane of the frame is perpendicular to line OP]

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a

flux through ABCD is λb40

b

electric field across AB is uniform

c

electric field across BC is uniform

d

flux through ABCD is λbϵ0

answer is B, D.

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Detailed Solution

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Imagine a cube of side b , with infinite line charge passing through its center.

Since, electric field is parallel to top and bottom faces, flux passing through them will be zero.

ϕcube=qenclosedε0=λbε0ϕeachface=λb4ε0

All points on line BC are equidistant from line charge , hence electric field is constant.

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