1. Tardigrade
  2. Question
  3. Physics
  4. A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. 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 toPhysics Question Image

Chhattisgarh PMTChhattisgarh PMT 2006

Solution:

In equilibrium
$T \cos \theta=m g$ ...(i) and $T \sin \theta=F=E q$
$T \sin \theta=F =E q$ ...(ii)
$\therefore \frac{T \sin \theta}{T \cos \theta}=\frac{\sigma q}{2 \varepsilon_{0} \times m g}$
$\tan \theta=\frac{\sigma q}{2 \varepsilon_{0} m g}$
or $\sigma \propto \tan \theta$

Solution Image