A long solenoid of radius R carries a time (t) - dependent current It=I0t1−t. A ring of radius 2R is placed coaxially near its middle. During the time interval 0≤t≤1, the inducted current IR and the induced EMF (VR) in the ring changes as:

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Direction of IR remains unchanged and VR is maximum at t=0.5

At t=0.5 direction of IR reverses and VR is zero

Direction of IR remains unchanged and VR is zero at t=0.25

At t=0.25 direction of IR reverses and VR is maximum

answer is B.

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Detailed Solution

Current, I=I0t−I0t2 Magnetic flux, ϕ=BA=μ0nIAInduced emf, VR=−dϕdt=−μ0nAI01−2t Hence, VR=0 at t=12 And IR=VRResistance of loopSo, 0

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