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Question

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux from the surface of the cylinder is

A
2πR2E
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B
πR2/E
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C
(πR2πR)/E
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D
Zero
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Solution

The correct option is D Zero
The electric flux passing through a surface of area A is φ=E.A


Flux through surface A is φA=E×πR2
and
Flux through surface B is φB=E×πR2

Flux through curved surface C is
E.ds=Edscos90=0
Total flux through cylinder φA+φB+φC=0

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