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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a
Direction of IR remains unchanged and VR is maximum at t=0.5
b
At t=0.5 direction of IR reverses and VR is zero
c
Direction of IR remains unchanged and VR is zero at t=0.25
d
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
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: