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A point charge 'q' is placed at the cent...


A point charge 'q' is placed at the centre of left circular end of a cylinder of length l=4cm and radius R=3 cm shown. Then the electric flux through the curved surface of the cylinder is

A

`(q)/(5epsilon_(0))`

B

`(2q)/(5epsilon_(0))`

C

`(3q)/(5epsilon_(0))`

D

`(4q)/(5epsilon_(0))`

Text Solution

Verified by Experts

The correct Answer is:
B
The electric flux through the right end plane surface
`phi_(PS)=(q)/(4piepsilon_(0))xx2pi(1-costheta)=(q)/(2epsilon_(0))(1-(4)/(5))`
`phi_(PS)=(q)/(10epsilon_(0))`
Hence the electric flux through the curved surface of the cylinder is
`phi_(CS)=(q)/(2epsilon_(0))=phi_(PS)`
`=(q)/(2epsilon_(0))-(q)/(10epsilon_(0))=(4q)/(10epsilon_(0))`
`phi_(CS)=(2q)/(5epsilon_(0))`
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