A small circular loop of wire of radius a is located at the centre of a much larger…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternating current I=I0cos⁡(ωt)I = I_0 \cos(\omega t). The emf induced in the smaller inner loop is: (a) πμ0I0ωcos⁡(ωt)a\frac{\pi\mu_0 I_0 \omega \cos(\omega t)}{a} (b) πμ0I0a2ωsin⁡(ωt)2b\frac{\pi\mu_0 I_0 a^2 \omega \sin(\omega t)}{2b} (c) πμ0I0a2ωsin⁡(ωt)b\frac{\pi\mu_0 I_0 a^2 \omega \sin(\omega t)}{b} (d) πμ0I0a2ωcos⁡(ωt)2b\frac{\pi\mu_0 I_0 a^2 \omega \cos(\omega t)}{2b}

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