Suppose we want to verify the analogy between electrostatic and magnetostatic 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 identical initial conditions.)

Question

Suppose we want to verify the analogy between electrostatic and magnetostatic 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 identical initial conditions.)

Philoid · Accepted Answer

The motion of an electric dipole (p) in Electric field and that of magnetic dipole in magnetic field , can be verified as analogous by comparing the Torque equations in both situations

… Torque on electric dipole

… Torque on magnetic dipole

Comparing Both Equations

… (1)

We know from Maxwell’s Laws that

… (2)

From (1) and (2)