The direction of induced current is determined from Lenz law.
According to Lenz’ law, the current induced due to the change in the flux will always be in a direction such that it produces magnetic field which opposes the original change in the flux.
The direction of induced current can be determined using right-hand rule. A current carrying wire when hold in our right hand, the thumbs shows the direction of current flow in the wire, and the curled fingers shows the direction of induced current around the wire.
(a)
The increasing current in the wire will cause increase in the field. As the direction of current is to the left of the loop, the field is into the page through the loop. The induced current will produce induced emf which opposes this increase in the flux. So, a counter clockwise current is induced in the loop in order to decrease the flux. Thus, the direction of the induced current will be .
