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qUESTIONS

From the figure given below find the value of the capacitance C if the equivalent capacitance between A and B is to be 1 µF. All other capacitors are in micro farad.

When 108 electrons are transferred from one conductor to another, a potential difference of 10 V appears between the conductors. Find the capacitance of the two conductors.

An electric dipole consists of two opposite charges each of magnitude 1µC separated by 2 cm. The dipole is placed in an external electric field of 10S NC-1. Find: (i) The maximum torque exerted by the field on the dipole (ii) The work the external agent will have to do in turning the dipole through 180° starting from the position 0 = 0°

a) Determine the electrostatic potential energy of a system consisting of two charges -2 µC and +4 µC (with no external field) placed at (-8 cm, 0, 0) and (+8 cm, 0, 0) respectively. b) Suppose the same system of charges is now placed in an external electric field E = A (1/r²), where A = 8 × 10cm², what would be the electrostatic potential energy of the configuration

Two charged particles having equal charge of 3 ×10-5 C each are brought from infinity to a separation of 30 cm. Find the increase in electrostatic potential energy during the process.

Calculate the electrostatic potential energy of the system of charges shown in the figure

Two charges of magnitude 5 nC and −2 nC are placed at points (2 cm, 0, 0) and (20 cm, 0, 0) in a region of space, where there is no other external field. Find the electrostatic potential energy of the system.

A small particle carrying a negative charge of 1.6 × 10-19 C is suspended in equilibrium between two horizontal metal plates 10 cm apart having a potential difference of 4000 V across them. Find the mass of the particle.

ExTwo charges 5 × 10-8 C and -3 × 10-8 C are located 16 cm apart. At what point (s) on the line joining the two charges is the electric potential zero ? Take the potential at infinity to be zero.

A short electric dipole has dipole moment of 1 × 10-9 C m. Determine the electric potential due to the dipole at a point distance 0.3 m from the centre of the dipole situated a) on the axial line b) on the equatorial line c) on a line making an angle of 60° with the dipole axis.

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