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  4. Find the induced emf in the loop when it's radius is 2 cm in a conducting circular loop with its plane perpendicular to the direction of magnetic field is placed in a uniform magnetic field, B = 0.025 T. The radius of the loop is made to shrink at a constant rate of 1 mm s-1. .

Q. Find the induced emf in the loop when it's radius is 2 cm in a conducting circular loop with its plane perpendicular to the direction of magnetic field is placed in a uniform magnetic field, B = 0.025 T. The radius of the loop is made to shrink at a constant rate of 1 mm s-1. .

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Solution:

Here,
Magnetic field, B = 0.025 T
Radius of the loop,
Constant rate at which radius of the loop shrinks,

Magnetic flux linked with the loop is

From Faraday's law, the magnitude of the induced emf is


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