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Question

Electric charge is uniformly distributed along a long straight wire of radius 1mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1m symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is

A
Qϵ0
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B
100Qϵ0
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C
10Q(πϵ0)
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D
100Q(πϵ0)
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Solution

The correct option is B 100Qϵ0

Charge enclosed by cylindrical surface (length 100 cm) is Qexc=100Q. By applying Gauss's law
ϕ=1ϵ0(Qeγα)=1ϵ0(100Q)


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