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Suppose we want to verify the analogy be...

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

Text Solution

Verified by Experts

Suppose the angle between `overset(to)(p) and overset(to) (E )` is `theta`. Torque on electric dipole of moment `overset(to)(p)` in an electric field `overset(to)(E )`,
`tau = p E sin theta " .…(1)`
Let us assume that the angle between `overset(to)(M ) and overset(to)(B)` is `theta`.
The torque on magnetic dipole moment `overset(to)(M)` in magnetic field `overset(to)(B)`,
`therefore tau. = M B sin theta " "...(2)`
If there two motion are identical, then `tau = tau.`
`therefore p E sin theta = MB sin theta`
`therefore pE= MB" "...(3)`
but `E= cB`
Putting this value in equation (3),
`pcB = MB`
`therefore p = (M)/(c )`
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