Electric charge is uniformly distributed along a straight wire of radius 1 mm. The charge per centimetre 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 figure. The total electric flux passing through the cylindrical surface is
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a
Qεo
b
100Qεo
c
10Qπεo
d
100Qπεo
answer is B.
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Detailed Solution
Total enclosed charge, q = 100Q coulombϕE=qεo=100Qεo
Electric charge is uniformly distributed along a straight wire of radius 1 mm. The charge per centimetre 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 figure. The total electric flux passing through the cylindrical surface is