Question 558: Electrostatics & Capacitance

Question

A charged ball $B$ hangs from a silk thread $S,$ which makes angle $	heta $ with a large charged conducting sheet $P,$ as shown in the figure. The surface charge density $\sigma $ of the sheet is proportional to
f
![](https://imagex.cdn.examgoal.net/3wlqxdS3UKzziim3s/ihkI9Vb4032sXNxE7hSwTTaQUVgIQ/gVowtr6Ex9Z3lSIytwKPEv/image.png)

Accepted Answer

$T\sin 	heta  = {\sigma  \over {{\varepsilon _0}K}}.q\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,...\left( i ight)$
$T\cos 	heta  = mg\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,...\left( {ii} ight)$
Dividing $(i)$ by $(ii),$
$	an 	heta  = {{\sigma q} \over {{\varepsilon _0}K.mg}}$
$	herefore$ $\sigma  \propto \,	an 	heta $
![](https://imagex.cdn.examgoal.net/Gc7VjCdjqKosi8ojk/FitQVKQmwSVkSIvsruK6Eov5NWWqK/RFxfN4zk8WLulCmu2exo90/image.svg)

Answer

$\cot \,	heta $

Answer

$\cos \,	heta $

Answer

$	an \,	heta $

Answer

$\sin \,	heta $

Electrostatics & Capacitance

A charged ball B hangs from a silk thread S, which makes 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 f

Choose the correct answer: