Embibe Experts Solutions for Chapter: Electrostatic Potential and Capacitance, Exercise 1: Karnataka Board-2018

What is equipotential surface?

Mention any two factors on which the capacitance of a parallel plate capacitor depends.

Define electric potential due to a point charge and arrive at the expression for the electric potential at a point due to a point charge.

In a circular parallel plate capacitor radius of each plate is $5 \mathrm{cm}$ and they are separated by a distance of $2 \mathrm{mm}$. Calculate the capacitance and the energy stored, when it is charged by connecting the battery of $200 \mathrm{V}$ (given ${\epsilon }_{\circ }=8.854\times {10}^{-12} \mathrm{F} {\mathrm{m}}^{-1}$)

A parallel plate capacitor with air between the plates has a capacitance $C$. What will be the capacitance if the distance between the plates is doubled?

A parallel plate capacitor with air between the plates has a capacitance $C$. What will be the capacitance if the space between the plates is filled with a substance of dielectric constant $5$.

Establish the relation between electric field and electric potential.

Derive the expression for the energy stored in a charged capacitor.