The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a…

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure. The magnitude of the field increases with time. $I_1$ and $I_2$ are the currents in the segments $a b$ and $c d$. Then,
  1. $I_1>I_2$
  2. $I_1 < I_2$
  3. $I_1$ is in the direction ba and $I_2$ is in the direction $c d$
  4. $I_1$ is in the direction $a b$ and $I_2$ is in the direction $d c$

Solution

Cross $\otimes$ magnetic field passing from the closed loop is increasing. Therefore, from Lenz's law induced current will product $\operatorname{dot} \odot$ magnetic field. Hence, induced current is anticlockwise.

Asked in: JEE Advanced 2009 (Paper 1)

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