Question

Suppose we want to verify the analogy between electrostatic and magnetostatic by an explicit experiment. Consider the motion of
(i) electric dipole $\underset{p}{\to }$ in an electrostatic field $\underset{E}{\to }$ and (iii) magnetic dipole $\underset{m}{\to }$ in a magnetic field. $\underset{B}{\to }$. Write down a set of conditions on $\underset{E}{\to }$, $\underset{B}{\to }$, $\underset{p}{\to }$, $\underset{m}{\to }$ so that the two motions are verified to be identical. (Assume identical initial conditions. )

Answer 1

Let $\theta$ is the angle between $\underset{m}{\to }$ and $\underset{B}{\to }$.

$\therefore$ Torque on magnetic dipole in a magnetic field B is

c' = $\underset{m}{\to }$ $\underset{m}{\to }$ $sin\theta$ ............... I

Similarly of \theta is the angle between electric dipole moment $\underset{p}{\to }$ and electric field E then torque on electric dipole in E is

C' = $\underset{P}{\to }$ $\underset{E}{\to }$ $sin\theta$................. II

For if motoin in I and II of electric and magnetic dipole identical then C'=C