The direction of the induced current in the loop can be determined using Lenz's Law, which states that the induced current will always be in a direction such that it opposes the change causing it.

In this case, as the loop is moved to the right, the magnetic field through the loop due to the current in the long straight wire is decreasing. According to Lenz's Law, the induced current in the loop will be in a direction such that it tries to maintain the decreasing magnetic field.

The magnetic field due to a current in a long straight wire circles around the wire in a direction given by the right-hand rule. If you point your right thumb in the direction of the current, your fingers will curl in the direction of the magnetic field.

In this case, the current in the long straight wire is flowing upwards, so the magnetic field at the location of the loop is directed counterclockwise. Therefore, to maintain the decreasing magnetic field, the induced current in the loop must also be counterclockwise.

The magnitude of the induced current is proportional to the rate of change of the magnetic field through the loop, which in turn is proportional to the current in the long straight wire. Therefore, the induced current is proportional to I.

So, the correct answer is (c) counterclockwise and proportional to I.

Question

The direction of the induced current in the loop can be determined using Lenz's Law, which states that the induced current will always be in a direction such that it opposes the change causing it.

In this case, as the loop is moved to the right, the magnetic field through the loop due to the current in the long straight wire is decreasing. According to Lenz's Law, the induced current in the loop will be in a direction such that it tries to maintain the decreasing magnetic field.

The magnetic field due to a current in a long straight wire circles around the wire in a direction given by the right-hand rule. If you point your right thumb in the direction of the current, your fingers will curl in the direction of the magnetic field.

In this case, the current in the long straight wire is flowing upwards, so the magnetic field at the location of the loop is directed counterclockwise. Therefore, to maintain the decreasing magnetic field, the induced current in the loop must also be counterclockwise.

The magnitude of the induced current is proportional to the rate of change of the magnetic field through the loop, which in turn is proportional to the current in the long straight wire. Therefore, the induced current is proportional to I.

So, the correct answer is (c) counterclockwise and proportional to I.

Knowee AI · Accepted Answer

The direction of the induced current in the loop can be determined using Lenz's Law, which states that the induced current will always be in a direction such that it opposes the change causing it.

In this case, as the loop is moved to the right, the magnetic field through the loop due to the current in the long straight wire is decreasing. According to Lenz's Law, the induced current in the loop will be in a direction such that it tries to maintain the decreasing magnetic field.

The magnetic field due to a current in a long straight wire circles around the wire in a direction given by the right-hand rule. If you point your right thumb in the direction of the current, your fingers will curl in the direction of the magnetic field.

In this case, the current in the long straight wire is flowing upwards, so the magnetic field at the location of the loop is directed counterclockwise. Therefore, to maintain the decreasing magnetic field, the induced current in the loop must also be counterclockwise.

The magnitude of the induced current is proportional to the rate of change of the magnetic field through the loop, which in turn is proportional to the current in the long straight wire. Therefore, the induced current is proportional to I.

So, the correct answer is (c) counterclockwise and proportional to I.

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