A circular loop of wire of radius 14 ~cm is placed in magnetic field directed perpendicular to the plane of the loop. If the field decreases at a steady rate of 0.05 Ts ⁻¹ in some interval, then the magnitude of the emf induced in the loop

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A circular loop of wire of radius 14 ~cm is placed in magnetic field directed perpendicular to the plane of the loop. If the field decreases at a steady rate of 0.05 Ts ⁻¹ in some interval, then the magnitude of the emf induced in the loop is

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Correct answer: B. 3.08 mV

Given, Radius of circular loop of wire, r=14 ~cm =0.14 ~m Rate of change of magnetic field with respect to time, d B d t =0.05 Ts ⁻¹ According to Faraday law of electromagnetic induction, induced emf, |e|= d d t = d d t (B A)( =B A) aligned & = A d B d t = r^2 d B d t & = 22 7 0.14 0.14 0.05=0.00308 & =3.08 10⁻³ ~V =3.08 mV aligned

A circular loop of wire of radius 14 ~cm is placed in magnetic field directed perpendicular to the plane of the loop. If the field decreases at a steady rate of 0.05 Ts ⁻¹ in some interval, then the magnitude of the emf induced in the loop is

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