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
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a
Qε0
b
100 Qε0
c
10 Q(πε0)
d
100 Q(πε0)
answer is B.
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Detailed Solution
Charge enclosed by cylindrical surface (length 100 cm) is Qenc=100 Q. By applying Gauss's law ϕ=1ε0(Qenc.)=1ε0(100Q)
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