A rectangular coil moving at a constant speed v enters a region of uniform magnetic field from the left. While the coil is entering the field, the direction of the induced current is
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To determine the direction of the induced current in the rectangular coil, you can apply Fleming's right-hand rule for electromagnetic induction. According to this rule, if you point your thumb in the direction of the motion of the coil (from left to right in this case), and curl your fingers in the direction of the magnetic field (which is pointing into the screen), then the direction in which your fingers naturally curl represents the direction of the induced current.
Since the coil is entering the field, the magnetic field lines are penetrating the loop. Using the right-hand rule, if you point your thumb to the right (to represent the direction of the motion of the coil) and curl your fingers into the screen (to represent the direction of the magnetic field lines), your fingers will naturally curl downwards, towards the bottom of the screen. This indicates that the induced current in the rectangular coil is flowing in the counterclockwise direction.
Therefore, the direction of the induced current in the rectangular coil, while it is entering the field, is counterclockwise.
To determine the direction of the induced current, we can apply Faraday's law of electromagnetic induction which states that the direction of the induced current is such that it opposes the change in magnetic field.
In this case, as the rectangular coil moves into the region of uniform magnetic field from the left, the magnetic field through the coil starts to increase. To oppose this increase, the induced current will flow in a direction such that it creates a magnetic field pointing to the left (opposite to the increasing external magnetic field).
Using the right-hand rule for current direction (also known as the "thumb rule"), we can determine the direction of the induced current. If you point your thumb in the direction of the increasing magnetic field (from left to right), the fingers of your hand will curl in the opposite direction, which is counterclockwise.
Therefore, the direction of the induced current in the rectangular coil will be counterclockwise.