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long solenoid of radius R carries a time...

long solenoid of radius R carries a time –dependent current `I(t) = I_(0) (12t - t^(3))` . A ring of radius 2R is placed coaxially near its middle. During the time interval ` 0 le t le 2 sqrt(3)` , the induced current `(I_(R))` and the induced EMF `(V_(R))` in the ring change as :

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