Question

A uniform magnetic field b that is perpendicular to the plane of the page now passes through the loops, as shown. The field is confined to a region of radius a, where a < b, and is changing at a constant rate. The induced emf in the wire loop of radius b is e. What is the induced emf in the wire loop of radius 2b :-

Answer 1

Answer:

Induced EMF is independent of the radius of the loop

So here if the radius of the loop is increased twice the initial value than there is no change in the EMF

So emf will remain same as initial as E

Explanation:

As we know by Faraday's law

$EMF = A\frac{dB}{dt}$

here we know

A = area of the loop linked with the magnetic flux

here we know that magnetic flux is linked with area of radius "a"

so we will have

$EMF = \pi a^2\frac{dB}{dt}$

so it is independent of the radius of the loop

So here if the radius of the loop is increased twice the initial value than there is no change in the EMF

So emf will remain same as initial as E

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Topic : faraday's law of induction

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