Question

In given figure shows a small magnetised needle P placed at a point 0. The arrow shows the
direction of its magnetic moment. The other arrows show different positions (and orientations

of the magnetic moment) of another identical magnetised needle Q.
(a) In which configuration the system is not in equilibrium?
(6) In which configuration is the system in (i) stable, and (ii) unstable equilibrium?
(C) Which configuration corresponds to the lowest potential energy among all the
configurations shown?

Answer 1

Answer:

(a) Magnetic field due to magnetic needle P at a point on its axis,

along the axis and <br> Magnetic field due to magnetic needle P on the normal bisector,

, along the axis, and antiparallel to the axis. <br> (a) System is not in equilibrium, when magnetic moment of Q is perpendicular to

i.e. in configuration

and

. <br> (b) Equilibrium is stable, when magnetic moment of

is parallel to

, and unstable, when magnetic moment of Q is antiparallel to

. <br>

configuration

and

represent stable equilibrium and cofigurations

and

represent unstable equilibrium. <br> (c) Potential energy of configuration arises due to potential energy of one dipole (say Q) in the magnetic field due to the other (P). <br> Lowest potential energy is the maximum negative energy, which is for configuration

. (Field due to P is more on axial line, than on the right bisector).

Explanation:

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Answered By Drushti Chaplot

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