Embibe Experts Solutions for Chapter: Electrostatic Potential and Capacitance, Exercise 1: Exercise

Two conducting spheres of unequal radii are given charge such that they have the same charge density. If they are now brought in contact,

Discuss the basic properties of electric charges.

How much energy has is stored in charging a $25 \mathrm{\mu F}$ capacitor if potential difference across it is $500 \mathrm{V}$.

Derive an expression for the energy stored in a capacitor. What is the energy stored when space between the plates is filled with a dielectric, with charging battery disconnected.

Derive an expression for the energy stored in a capacitor. What is the energy stored when space between the plates is filled with a dielectric, with charging battery connected in the circuit.

The charge of a $20\mu \mathrm{F}$ capacitor is increased from $30\mu \mathrm{C}$ to $60\mu \mathrm{C}$. The capacitance of the capacitor will become

Derive an expression for the capacitance of a parallel plate capacitor.

A dielectric slab of thickness $t$ is inserted between the plates of a parallel-plate capacitor separated by the distance $d (t<d)$. Obtain the capacitance of this capacitor.