Question

Obtain the expression for the capacitance of a parallel plate capacitor with a dielectric medium between its plates.

A charge of 6 μC is given to a hollow metallic sphere of radius 0.2 m. Find the potential at (i) the surface and (ii) the centre of the sphere.

A charge + Q is placed on a thin conducting spherical shell of radius R. Use Gauss's theorem to derive an expression for the electric field at a point lying (i) inside and (ii) outside the shell.

Show that the electric field for same charge density (σ) is twice in case of a conducting plate or surface than in a nonconducting sheet.