Exercise

A parallel plate air capacitor has capacitance $10\mu \mathrm{F}.$ It is charged by connecting to a $50 \mathrm{V}$ battery. Then it is disconnected from the battery and the space between the two plates of the capacitor is filled with a material having dielectric constant $5.$ Compare

capacitance,

The space between the plates of a parallel plate capacitor is completely filled in two ways. In the first case, it is filled with a slab of dielectric constant $K$. In the second case, it is filled with two slabs of equal thickness and dielectric constants $K_1$ and $K_2$ respectively as shown in the figure. The capacitance of the capacitor is same in the two cases. Obtain the relationship between $K$, $K_1$ and $K_2$.

The potential in a region of space near the point $(-2,4,6 \mathrm{m})$ is $\mathrm{V}=80{\mathrm{x}}^2+60{\mathrm{y}}^2$ volt. What are three components of the electric field at that point? 

If electric potential at a point is zero then electric field intensity must be zero.Give reasons with an example.

A sphere of radius $0.25 \mathrm{m}$ has positive charge $+8.8 \mathrm{\mu C}$ uniformly distributed on its surface. A small pellet of mass $0.075 \mathrm{kg}$ and charge $+2.4 \mathrm{\mu C}$ is directed radially at the sphere. When the pellet is at a distance of 0.75 m from the centre of the sphere its speed is $3.2 \mathrm{m} {\mathrm{s}}^{-1}$.

$\mathrm{a}.$ Determine the distance from the centre of the sphere at which the pellet will stop.

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

Potential energy of an electric dipole of moment $\mathrm{p}$ placed parallel to an electric field $\mathrm{E}$ is $\pm$ _____ .

Presence of a conductor, particularly the earthed ones, near to a charged conductor _____ the potential of the latter.