The diameter of the outer conductor of a cylindrical capacitor is `D_2` • What should the diameter of the core, `D_1` , of this capacitor be so that for a given potential difference between the outer conductor and the core the electric field strength at the core is minimal ?

In a parallel plate capacitor of capacitor 1muF two plates are given charges 2muC and 4muC the potential difference between the plates of the capacitor is

The charges appearing on inner surfaces of a parallel plate capacitor are q_( i and )q_(2) . The charges appearing on outer surfaces of the capacitor are equal.Find the potential difference between plates of the capacitor if capacitances is C.

The outer cylinder of a cylindrical capacitor of length 0.15 m and radial 1.61 cm and 1.5 cm is earthed while inner cylinder of this capacitor is given a charge of 8 muC . Find the capacitance and potential of inner part of the capacitor.

The plates of a capacitor are charged to a potential difference of 320 volt and are then connected across a resistor. The potential difference across the capacitor decays exponentially with time. After 1 sec the potential difference between the plates of the capacitor is 240 volts. what is the potential difference between the plates after 2 s?

A long cylindrical conductor of cross-sectional area A and radius a is made of material whose resistivity depends only on a distance r from the axis of conductor, given by rho = c/r^(2) , where c is a constant. Find the resistance per unit length of the conductor and the electric field strength due to which a current I flows in it.

Two parallel conducting plates of a capacitor of capacitance C containing charges Q and -2Q at a distance d apart. Find out potential difference between the plates of capacitors.

When 30mu C charge is given to an isolated conductor of capacitance 5mu F . Find out the following (i) Potential of the conductor (ii) Energy stored in the electric field of conductor (iii) If this conductor is now connected to another isolated conductor by a conducting wire (at very large distance ) of total charge 50mu C and capacity 10mu F then (a) find out the common potential of both the conductors. (b) Find out the heat dissipated during the process of charge distribution. (c) Find out the ratio of final charges on conductors. d) Find out the final charges on each conductor.