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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.) |
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Answer» Solution :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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