A spherical conducting shell of inner radius $r_1$ and outer radius $r_2$ has a charge '$Q$'. A charge '$q$' is placed at the centre of the shell.

What is the surface charge density on the inner surface of the shell?

A spherical conducting shell of inner radius $r_1$ and outer radius $r_2$ has a charge '$Q$'. A charge '$q$' is placed at the centre of the shell.

What is the surface charge density on the outer surface of the shell?

A spherical conducting shell of inner radius $r_1$ and outer radius $r_2$ has a charge '$Q$'. A charge '$q$' is placed at the centre of the shell.

Write the expression for the electric field at a point $x>r_2$ from the centre of the shell.

Electric field in is directed along $+X$ direction and given by $E_x =5 Ax+2B$, where $E$ is in $N{C}^{-1}$ and $x$ is in metre, $A$ and $B$ are constants with dimensions. Taking $A=10 {\mathrm{NC}}^{-1}{\mathrm{m}}^{-1}$ and $B=5 {\mathrm{NC}}^{-1}$, calculate the electric flux through the cube.

Electric field in Figure is directed along $+X$ direction and given by $E_x =5 Ax+2B$, where $E$ is in $N{C}^{-1}$ and $x$ is in metre, $A$ and $B$ are constants with dimensions. Taking $A=10 {\mathrm{NC}}^{-1}{\mathrm{m}}^{-1}$ and $B=5 {\mathrm{NC}}^{-1}$, calculate net charge enclosed within the cube.

A charge $Q$ is distributed uniformly on a ring of radius $r$. A sphere of equal radius $r$ is constructed with its centre at the periphery of the ring, Find the electric flux through the sphere.