Answer:
The direction of the induced current in the loop can be determined using Faraday's law of electromagnetic induction. According to this law, an induced current is generated in a loop when there is a change in the magnetic flux passing through the loop.
In this case, the current in the straight wire is decreasing in time. When the current decreases, the magnetic field around the wire also decreases. As a result, the magnetic flux passing through the loop changes.
To determine the direction of the induced current in the loop, we can use Lenz's law. Lenz's law states that the direction of the induced current is such that it opposes the change that caused it. In other words, the induced current will flow in a direction that produces a magnetic field that opposes the change in the magnetic field caused by the decreasing current in the wire.
So, in this scenario, as the current in the wire decreases, the induced current in the loop will flow in a direction that produces a magnetic field that opposes the decreasing magnetic field caused by the decreasing current in the wire.
To determine the specific direction of the induced current, we can use the right-hand rule for magnetic fields. If we curl the fingers of our right hand in the direction of the decreasing magnetic field around the wire, then the thumb will point in the direction of the induced current in the loop.
In summary, when the current in the wire is decreasing in time, the induced current in the loop will flow in a direction that produces a magnetic field that opposes the decreasing magnetic field caused by the decreasing current in the wire. The specific direction of the induced current can be determined using the right-hand rule for magnetic fields.
Step-by-step explanation: