Question

A circular loop rotates at a constant speed about an axle through the center of the loop. The figure below shows an edge view and defines the angle o, which increases from 0° to 360° as the loop rotates. There is a uniform, background magnetic field. For what range of angles of o is the induced current in the loop clockwise when viewed from below? For what range of angles of o is the induced current in the loop counterclockwise when viewed from below?

Answer 1

The induced current in the loop is clockwise when the loop is in the first half of the rotation (0° to 180°) and counterclockwise when the loop is in the second half of the rotation (181° to 360°).

Step-by-step explanation:

In a circular loop, the induced current is clockwise when the loop is in the first half of the rotation (0° to 180°) and counterclockwise when the loop is in the second half of the rotation (181° to 360°).

Answer 2

The induced current in a rotating circular loop within a magnetic field changes direction based on the loop's angle of rotation. For angles from 0° to 180°, the current is induced clockwise, and from 180° to 360°, it is counterclockwise, when viewed from below.

Step-by-step explanation:

The question pertains to the phenomenon of electromagnetic induction, where an induced current and magnetic torque are generated in a circular loop that rotates within a magnetic field. The direction and magnitude of the induced current depend on Faraday's Law of Electromagnetic Induction and Lenz's Law, which states that the induced current will flow in a direction that opposes the change in magnetic flux.

When the loop rotates at angles where it cuts through the magnetic field lines, the change in flux induces a current. If the loop's rotation increases the magnetic flux through it, the induced current will be in a direction that creates an opposing magnetic field. This means for part of the rotation (from 0° to 180°, if the initial magnetic field is into the page), the induced current will be clockwise when viewed from below, and for the other half of the rotation (from 180° to 360°), it will be counterclockwise.