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A non-conducting spherical shell of radi...

A non-conducting spherical shell of radius R surrounds a point charge q (q at center). The electric flux through a cap of the shell of half angle `theta` is:

A

`(2pi_(q)theta)/(in_(0))`

B

`(q)/(2in_(0)) (1-cos theta)`

C

`(q(2theta))/(4pi in_(0))`

D

`(q theta)/(2pi in_(0))`

Text Solution

Verified by Experts

The correct Answer is:
B

The area of cap ABC, `A=2pir^(2)(1-cos theta)`
So flux passing through this area
`phi=2pi r^(2)(1-cos theta) (1)/(4pi in_(0 )) (q)/(r^(2))`
`phi=(q)/(2in_(0))(1-cos theta)`
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