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,

A slab of copper of thickness $\frac{d}{2}$ is introduced between the plates of a parallel plate capacitor which touches one of the plates of the capacitor, where $d$ is the separation between its two plates. If the capacitance of the capacitor without copper slab is $C$ and with copper slab is $C^{\text{'}}$, then $\frac{C^{\text{'}}}{C}$ is

Which of the following is the suitable graph for potential due to point charge Vs distance.

An infinite line of charge with uniform line charge density of $1 \mathrm{C} {\mathrm{m}}^{-1}$ is placed along the $\mathrm{y}$-axis. A charge of $1\mathrm{C}$ is placed on the $\mathrm{x}$-axis at a distance of $d=3 \mathrm{m}$ from the origin. At what distance $\left(r\right)$ from the origin on the $\mathrm{x}$-axis, the total electric field is zero.$N$ (Assume $0<r<d$)

On connecting the two plates of a charged capacitor by a conducting wire

Choose the correct relation between polarisation and electric susceptibility of dielectric material.

For a system of two electrons on bringing one electron nearer to other, the electrostatic potential energy of system

Three capacitors of capacitances $1 \mathrm{\mu F}, 2\mathrm{\mu F}$ and $3 \mathrm{\mu F}$ are connected in series and a potential difference of $11 \mathrm{V}$ is applied across the combination. Then, the potential difference across the plates of $1 \mathrm{\mu F}$ capacitor is