A long straight wire $$AB$$ of length $$L$$ with $$L \gg a$$ and $$L \gg b$$ and resistance $$R$$ is connected to a time varying source of emf $$V(t)$$. The variation of applied emf $$V(t)$$ with time is shown in Fig. B. A circular metallic loop of radius $$r=b$$ is placed coplanar with the current carrying wire with its centre at a distance $$a$$ from the axis of the wire as shown. The induced current in the loop is