Final answer:
The direction of the induced current in the coil depends on the change in magnetic field. When the current increases or decreases, the direction of the induced current will be counterclockwise or clockwise, respectively.
Step-by-step explanation:
According to Lenz's Law, the direction of the current induced in a coil depends on the change in a magnetic field. When the current in the wire increases, the magnetic field around the coil also increases, and the induced current will flow in the opposite direction to oppose the change. Therefore, the direction of the current induced in the coil will be counterclockwise (b).
Vice versa, when the current in the wire decreases, the magnetic field around the coil also decreases. In response, the induced current will flow in the same direction as the original current to try to maintain the magnetic field. Therefore, the direction of the current induced in the coil will be clockwise (a). If the current in the wire suddenly changes direction, the induced current will flow in the opposite direction to oppose the change, resulting in a counterclockwise (b) direction.