Suppose we want to verify the analogy between electrostatic and magnetic by an explicit experiment. Consider the motion of 
(i) electric dipole p in an electrostatic field E and 
(ii) magnetic dipole M in a magnetic field B. Write down a set of conditions on E,B,p,M so that the two motions are verified to be identical.(assume idential initial conditions)
E(r) = cB(r), suppose the angle between p and E is \(\theta \) . Torque on electric dipole moment M in magnetic field E, \(\tau =pEsin\theta \) 

The horizontal component of the earth's magnetic field at a place is \(\sqrt { 3 } \)  times its vertical component here. Find the value of the angle of dip at that place. What is the ratio of the horizontal component to the total magnetic field of the earth at that place?

A short bar magnet with its North pole facing North forms a neutral point at A in the horizontal plane. If the magnet is rotated by 90⁰ in the horizontal plane, what is the net magnetic induction at P?

From molecular view point, discuss the temperature dependence of susceptibility for diamagnetism, paramagnetism and ferromagnetism.

Explain quantitatively the order of magnitude difference between the diamagnetic. susceptibility of (\(N_{ 2 }(\sim 5\times { 10 }^{ -9 })\)) (at STP) and \(Cu(\sim { 10 }^{ -5 })\)