Electric charge is uniformly distributed alone a long straight wire of radius 1 mm. Thecharge per cm length of the wire is Q coulomb another cylindrical surface of radius 50 cm and length 1 m symmetrically encloses the wire as shown in the figure. The total electricflux 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 B100Qϵ0 Φ=EAλ=ql=Q=λ2πϵ0r2πrl=Qlϵ0l=1m=100cm=100Qϵ0