Key concept: In this problem, the Lenz’s law is applicable so let us introduce Lenz’s law first.
Lenz's law gives the direction of induced emf$/$induced current. According to this law, the direction of induced emf or current in a circuit is such as to oppose the cause that produces it. This law is based upon law of conservation of energy.
When the current in coil $B ($at $t = 0)$ is counter-clockwise and the coil $A$ is considered above it. The counter clockwise flow of the current in coil $B$ is equivalent to north pole of magnet and magnetic field lines are eliminating upward to coil $A$. When coil A starts rotating at $t = 0$, the current in $A$ is constant along clockwise direction by Lenz's rule.
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$\left(h=6.6 \times 10^{34} \;J \cdot sec\right)$,
