Potential Due to a Point Charge

Charges $2 \mathrm{\mu C}$, $4 \mathrm{\mu C}$ and $6 \mathrm{\mu C}$ are placed at three corners A, B and C respectively of a square ABCD of side $x \mathrm{m}$. Find what charge must be placed at the fourth corner so that the total potential at the centre of the square is zero.

An electric dipole is placed as shown in the figure.

The electric potential (in ${10}^2 \mathrm{V}$) at point $P$ due to the dipole is (${\epsilon }_0$=permittivity of free space and $\frac{1}{4\pi {\epsilon }_0}=K$)

Electric potential at a point $P$ due to a point charge of $5\times {10}^{-9} \mathrm{C}$ is $50 \mathrm{V}$. The distance of $P$ from the point charge is:
(Assume, $\frac{1}{4\pi {\epsilon }_0}=9\times {10}^9 \mathrm{N} {\mathrm{m}}^2 {\mathrm{C}}^{-2}$)

Find the distance from a point charge of magnitude $5\times {10}^{-9} \mathrm{C}$, where electric potential is $50 \mathrm{V}$

The electric potential on the surface of a sphere of radius $R$ due to a charge $3\times 10{ }^{-6} \mathrm{C}$ is $500 \mathrm{V}$. The intensity of electric field on the surface of the sphere in $\left({\mathrm{NC}}^{-1}\right)$$\left(\frac{1}{4\pi {\epsilon }_0}=9\times {10}^9 \mathrm{N} {\mathrm{m}}^2 {\mathrm{C}}^{-2}\right)$

Around a stationary charge of $+5 \mu \mathrm{C}$, another charge $-5 \mu \mathrm{C}$ is taken once round a circle of radius $4 \mathrm{cm}$. The amount of work done in joule is

Two charges each of$+40 \mathrm{\mu C}$  are placed at distance of $0.4 \mathrm{m}$ calculate the potential at the midpoint if dielectric constant of the medium is $2$.

Mark the correct statement(s) for the situation shown:

Mark the correct statement(s) for the situation shown:

The potential due to charged spherical conducting shell of radius $20 \mathrm{cm}$ at point $5 \mathrm{cm}$ distant from centre is $V$. The potential on the surface of spherical shell is

Two charges $+2 \mathrm{\mu C}$ and $+8 \mathrm{\mu C}$ are placed at two vertices of equilateral triangle of side $1 \mathrm{m}$. The potential at third vertex of the triangle is

ABCD is a square of side $1m$ point charges $2\times {10}^{-10} C,-4\times {10}^{-10} C, 8\times {10}^{-10} C$ are placed at corners A, B and C respectively. Calculate the amount of work done required in transferring a charge of $10 \mu C$ from D to the point of intersection of diagonals.

Write the equation of electric field due to a point charge. Also name the terms in it.

Electric potential due to point charge in air is expressed as $\mathrm{V}=\frac{1}{4{\mathrm{\pi \epsilon }}_0}·\frac{\mathrm{q}}{\mathrm{r}}$ as $\mathrm{V}\propto \frac{1}{\mathrm{r}}$. i.e for $\mathrm{r}=0$ to $\mathrm{r}=\infty$ potential varies 

The graph of variation of potential due to point charge vs distance is said to be symmetric

Electric potential due to point charge in air is expressed as $\mathrm{V}=\frac{1}{4{\mathrm{\pi \epsilon }}_0}·\frac{\mathrm{q}}{\mathrm{r}}$ as $\mathrm{V}\propto \frac{1}{\mathrm{r}}$. i.e for $\mathrm{r}=0$ to $\mathrm{r}=\infty$ potential varies 

Which of the follow graph is correct for potential due to point charge at any point versus distance as shown in figure.

The graph of variation of potential due to point charge vs distance is said to be _____ symmetric

Four point-charges are placed at the vertices of a square of side $2.8 \mathrm{m}$ as shown in the figure. Find the electric potential at the centre of the square.

A metallic sphere A isolated from the ground is charged to $+50 \mu \mathrm{C}$. This sphere is brought in contact with other isolated metallics sphere B of half the radius of sphere A. The charge on the two sphere will now be in the ratio