A conducting circular loop is placed in a uniform magnetic field, B=0.025T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm s^-1. The indu…

Question

A conducting circular loop is placed in a uniform magnetic field, B=0.025T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm s^-1. The induced emf when the radius is 2 cm, is

Accepted Answer

Correct answer: B. (b) Here, Magnetic field, B=0.025T Radius of the loop, r=2 cm =2 10^-2m Constant rate at which radius of the loop shrinks, dr dt=1 10^-3ms^-1 Magnetic flux linked with the loop is = BA cos B ( r^2 ) cos0^o= Bπr^2 The magnitude of the induced emf is ( )= dθ dt= d dt ( Bπr^2 )= Bπ2r dr dt =0.025 2 2 10^-2 1 10^-3 = 10^-6V= πμV

$A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm s^{- 1} . The induced emf when the radius is 2 cm, is$

Solution

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