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A charged ball B hangs from a silk threa...

A charged ball `B` hangs from a silk thread `S`, which makes an angle `theta` with a large charged conducting sheet `P`, as shown in the figure. The surface charge density `sigma` of the sheet is proportional to

A

`tan theta`

B

`sin theta`

C

`cot theta`

D

`cos theta`

Text Solution

Verified by Experts

The correct Answer is:
A
As is clear from Fig.
`(F)/(AB) = (mg)/(OA) (F)/(mg) = (AB)/(OA) = tan theta`

`(q theta)/(2 in_(0) (mg)) = tan theta :. Sigma prop tan theta`
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