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Gauss's Law

Electric char...

Question

Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge 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 electric flux passing through the cylindrical surface is

A

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B

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C

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D

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Solution

The correct option is B.

Charge enclosed by cylindrical surface (length 100 cm) is $Q_{e n} = 100 Q .$ .
By applying Gauss's law,
$ϕ = \frac{1}{ϵ_{0}} (Q_{e n}) = \frac{1}{ϵ_{0}} (100 Q)$ .

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