A very long solenoid of radius \( R \) is carrying current \( I(t)=k t e^{-a t}(k>0) \), as a...

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A very long solenoid of radius \( R \) is carrying current \( I(t)=k t e^{-a t}(k>0) \), as a function of time \( (t \geq 0) \). Counter clockwise current is taken to be positive. A circular conducting coil of radius \( 2 R \) is placed in the equatorial plane of the solenoid and concentric with the solenoid. The current induced in the outer coil is correctly depicted, as a function of time, by
(a)

(b)


(c)

(d)

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