Embibe Experts Solutions for Chapter: Electrostatic Potential and Capacitance, Exercise 1: Gujarat Board-2020

For a capacitor, the distance between two plates is $5 \mathrm{x}$, the electric field between them is ${\mathrm{E}}_0$, now dielectric slab having dielectric constant $3$ and thickness $\mathrm{x}$ is placed between them in contact with one plate. In this condition what is the potential difference between its two plates is:

The angle between the electric field line and an equipotential surface is _____________.

A point $\mathrm{P}$ is $40 \mathrm{m}$ away from $20 \mathrm{\mu C}$ point charge and $20 \mathrm{m}$ from $4\mathrm{\mu C}$ point charge. The electric potential at point $\mathrm{P}$ is____$\mathrm{V}$.

($\mathrm{K}=9\times {10}^9{\mathrm{Nm}}^2{\mathrm{C}}^{-2}$)

For a uniform electric field $\overrightarrow{E}$$=E_{\circ }\left(\hat{j}\right)$, if the electric potential at $y=0$ is zero, then the value of electric potential at $y=+y$ will be _____.

The energy of a charged capacitor is $U$ now it is removed from a battery and then is connected to another identical uncharged capacitor in parallel what will be the energy of each capacitor now?
 

For a capacitor the distance between the two plate is $4x$ and the electric field between them is $E_{\circ }$. Now a dielectric slab having dielectric constant $3$ and thickness $x$ is placed between them in contact with one plate. In this condition what is the p.d. between its two plates?
 

A particle having mass $1 \mathrm{g}$ and electric charge ${10}^{-8} \mathrm{C}$ travels from a point $\mathrm{A}$ having electric potential $600 \mathrm{V}$ to the point $\mathrm{B}$ having zero potential. What would be the change in its kinetic energy?
 

Derive the formula for the electric potential energy of an electric dipole in a uniform electric field. Discuss its stable and unstable equilibrium state.