Q. 64.4( 5 Votes )

Figure shows a charge q placed at the centre of a hemisphere. A second charge Q is placed at one of the positions A, B, C and D. In which position(s) of this second charge, the flux of the electric field through the hemisphere remains unchanged?

A. A

B. B

C. C

D. D

Answer :

As we know, the electric flux through a surface element ds is


is the electric field passing through the area

∆S is the area element

θ is the angle between the area element and electric field

The point A and C lie in the straight line with the charge q,

While the points B and D make an angle θ with the area element,

Thus, Electric flux at point A and C is

(θ=0o for the point in the straight line)

Hence, the flux of the electric field through the hemisphere remains unchanged when second charge is placed at point A and C.

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