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A space is divided by the line AD into t...

A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R.
Show the direction of the current when the loop is entering into the region II.

Text Solution

AI Generated Solution

To solve the problem, we need to determine the direction of the induced current when the semicircular conducting loop enters the region with a uniform magnetic field directed into the paper. We will apply Lenz's law, which states that the direction of induced current will be such that it opposes the change in magnetic flux through the loop. ### Step-by-Step Solution: 1. **Identify the Regions**: - Region I is field-free (no magnetic field). - Region II has a uniform magnetic field \( B \) directed into the paper. ...
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