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
(πR2−πR)/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