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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' = $$ \underset{m}{\rightarrow } $$ $$ \underset{m}{\rightarrow } $$  $$ sin \theta  $$   ............... I
Similarly 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' = $$ \underset{P}{\rightarrow } $$ $$ \underset{E}{\rightarrow } $$ $$ sin \theta  $$................. II
For if motoin in I and II of electric and magnetic dipole identical then C'=C

Physics
NCERT
Standard XII

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