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qUESTIONS

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.

A wire is bent in a circle of radius 10 cm. It is given a charge of 250μC which spreads on it uniformly. What is the electric potential at the centre ?

If 120 J of work is done in carrying a charge of 6 C from a place where the potential is 10 volt to another place where the potential is V, find V

Potential at a point A in space is given as 4 × 105 V. (i) Find the work done in bringing a charge of 3 µC from infinity to the point A. (ii) Does the answer depend on the path along which the charge is brought ?

The charge per unit area of a large flat sheet of charge is 3μC/m2. Calculate the electric field intensity at a point just near the surface of the sheet, measured from its midpoint.

The length of a straight thin wire is 2 m. It is uniformly charged with a positive charge of 3μC. Calculate: (i) the charge density of the wire (ii) the electric intensity due to the wire at a point 1.5 m away from the center of the wire

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