  Question

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

Solution

Let $$\theta$$ is the angle between $$\underset{m}{\rightarrow }$$  and $$\underset{B}{\rightarrow }$$.$$\therefore$$ Torque on magnetic dipole in a magnetic field B is c' = $$\underset{m}{\rightarrow }$$ $$\underset{m}{\rightarrow }$$  $$sin \theta$$   ............... ISimilarly of \theta is the angle between electric dipole moment $$\underset{p}{\rightarrow }$$ and electric field E then torque on electric dipole in E is C' = $$\underset{P}{\rightarrow }$$ $$\underset{E}{\rightarrow }$$ $$sin \theta$$................. IIFor if motoin in I and II of electric and magnetic dipole identical then C'=CPhysicsNCERTStandard XII

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