A conducting loop of radius r is placed in a uniform cylindrical, transverse magnetic field region of strength B and radius R. Radius of the loop is increasing with time as r = r0t. Induced emf in the loop varies with time as (centre of the loop coincides with axis of magnetic field region) :

Engineering

Physics

Faraday

Question

A conducting loop of radius r is placed in a uniform cylindrical, transverse magnetic field region of strength B and radius R. Radius of the loop is increasing with time as r = r₀t. Induced emf in the loop varies with time as (centre of the loop coincides with axis of magnetic field region) :

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$r = \frac{dϕ}{dt} = \frac{d ({πr}^{2}) B}{dt} = \frac{2 rdr}{dt} B$

when r = R, flux becomes constant.

r = 0

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