A charged ball B hangs from a silk thread 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

  • Option 1)

    \sin \Theta

  • Option 2)

    \tan \Theta

  • Option 3)

    \cos \Theta

  • Option 4)

    \cot \Theta

 

Answers (2)

As we lernt in

Charge conducting surface -

E=\frac{\sigma }{\epsilon _{0}}

V=\frac{-\sigma r }{\epsilon _{0}}+c

- wherein

 

 

 

T\sin \Theta = \sigma q/\varepsilon _{0}

T\cos \Theta = mg

\therefore \: \: \: \tan \Theta = \frac{\sigma q}{\varepsilon _{0}mg}

\therefore \: \: \:\sigma \: \: is\: proportional\: to\: \tan \Theta


Option 1)

\sin \Theta

Incorrect

Option 2)

\tan \Theta

Correct

Option 3)

\cos \Theta

Incorrect

Option 4)

\cot \Theta

Incorrect

N neha

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