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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 `vecp` in an electrostatic field `vecE` and (ii) magnetic dipole `vecM` in a magnetic field `vecB`. Write down a set of conditions on `vecE`, `vecB`, `vecp`, `vecM` so that the two motions are verified to be identical. (Assume identical initial conditions).

Text Solution

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Let `theta` be the angle between `vecp` and `vecE`. Torque on electric dipole of moment `vecp` in elelctric field `vecE`, `tau=pEsintheta`. Let `theta` be the angle between `vecM` and `vecB`. Torque on magnetic dipole moment `vecM` in magnetic field `vecB` `tau^'=MBsintheta`.
Two motions will be identical if `pEsintheta=MBsintheta` or `pE=MB`
But `E=cB` `:. pcB=MB` or `p=M/c`
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