(a) (i) Define electric flux and write its SI unit. (ii) Use Gauss' law to obtain the expression for the electric field due to a uniformly charged…

Define electric flux and write its SI unit.

Use Gauss' law to obtain the expression for the electric field due to a uniformly charged infinite plane sheet.

A cube of side L is kept in space, as shown in the figure. An electric field $\displaystyle \overrightarrow{\mathrm{E}}=(\mathrm{Ax}+\mathrm{B}) \hat{\mathrm{i}} \frac{\mathrm{N}}{\mathrm{C}}$ exists in the region. Find the net charge enclosed by the cube.

Define electric potential at a point and write its SI unit.

Two capacitors are connected in series. Derive an expression of the equivalent capacitance of the combination.

Two point charges $\displaystyle +q$ and $\displaystyle -q$ are located at points (3a, $\displaystyle 0$) and ($\displaystyle 0$, 4a) respectively in $\displaystyle x-y$ plane. A third charge $\displaystyle Q$ is kept at the origin. Find the value of Q , in terms of q and a , so that the electrostatic potential energy of the system is zero.