A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1 - t). A ring of radius 2R is placed coaxially near its middle. During the time interval 0 $ \le $ t $ \le $ 1, the induced current (IR) and the induced EMF(VR) in the ring change as :

Question

A long solenoid of radius R carries a time (t) - dependent current
I(t)=I₀t(1 - t). A ring of radius 2R is placed coaxially near its middle. During the time interval 0 $ \le $ t $ \le $ 1, the induced current (I_R) and the induced EMF(V_R) in the ring change as :

Direction of I_R remains unchanged and V_R is zero at t = 0.25

Direction of I_R remains unchanged and V_R is maximum at t = 0.5

At t = 0.25 direction of I_R reverses and V_R is maximum

At t = 0.5 direction of I_R reverses and V_R is zero

Solution

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