JEE Main · 2015 · 04 Apr 2015 · Offline · Magnetic Effects of Current

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A rectangular loop of sides 10 cm and 5 cm carrying a current I of 12 A is placed in different orientations as shown in the figures below:

If there is a uniform magnetic field of 0.3 T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium?
Structure a
a
Structure b
b
Structure c
c
Structure d
d
  1. (A)(a) and (c), respectively
  2. (B)(b) and (d), respectively✓ Correct
  3. (C)(b) and (c), respectively
  4. (D)(a) and (b), respectively

Answer: (B)

Solution

A current loop feels a torque and stores energy , so it rests in equilibrium only when its area vector lines up with the field, parallel or antiparallel. Among the orientations drawn, those are the two whose normal points along the -axis. With the area vector along , parallel to the field, the energy is least, so orientation (b) is the stable one; with it along , antiparallel, the energy is greatest, so orientation (d) is in unstable equilibrium.

JEE Main · 2015 · 04 Apr 2015 · Offline · Single correct option

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