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Question

# A hollow cylinder has a charge q C within it. If ϕ is the electric flux in units of Vm associated with the curved surface B, the flux linked with the plane surface A in units of Vm will be

A
12(qϵ0ϕ)
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B
q2ϵ0
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C
ϕ3
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D
qϵ0ϕ
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Solution

## The correct option is A 12(qϵ0−ϕ)Total flux from all surface of cylinder is ϕo=qϵoNow,let flux linked with surface A, B and C are ϕA,ϕB and ϕc.Since, A and C are plane faces with same area and are parallel, ϕA=ϕBAnd it is given that flux through curved surface which is surface B is ϕB=ϕϕo=ϕA+ϕB+ϕc⟹2ϕA+ϕ=ϕo⟹ϕA=12(qϵo−ϕ)Answer-(A)

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