Describe schematically the equipotential surfaces corresponding to - a field that uniformly increases in magnitude but remains in a constant (say, z) direction.

Describe schematically the equipotential surfaces corresponding to - a single positive charge at the origin.

Describe schematically the equipotential surfaces corresponding to- a constant electric field in the z-direction.

Describe schematically the equipotential surfaces corresponding to - a uniform grid consisting of long equally spaced parallel charged wires in a plane.

Two uniformly large parallel thin plates having charge densities +sigma and -sigma are kept in the X-Z plane at a distance 'd' apart. Sketch an equipotential surface due to electric field between the plates. IF a particle of mass m and charge -q remains stationary between the plates, what is the magnitude and direction of this field?

Consider a uniform electric field in the z direction. The potential is a constant:

A dipole, with its charges, -q an +q, are located at the ponit (0,-b,0) and (0,+b,0), is present in uniform electric field E. the equipotential surfaces of this field are planes parallel to the YZ-planes. What is the direction of the electric field E?

Answer the following questions: A magnetic field that varies in magnitude from point to point but has a constant direction (east to west) is set up in a chamber. A charged particle enters the chamber and travels undeflected along a straight path with constant speed. What can you say about the initial velocity of the particle?

A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s^-1 in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10^-3T cm^-1 along the negative x-direction (that is it increases by 10^-3T cm^-1 as one moves in the negative x-direction), and it is decreasing in time at the rate of 10^-3T cm^-1 . Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mOmega .

A metallic ring of mass m and radius l (ring being horizontal) is falling under gravity in a region having a magnetic field. If z is the vertical directoin, the z-component of magnitude field is B_z = B_0(1+lambda+lambdaz) . If R is the resistance of the ring and if the ring falls with a velocity v, find the energy lost in the resistacne. If the ring has reached a constant velocity, use the conversation of energy to determine v in terms of m, B, lambda and acceleration due to gravity g.