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Magnetic flux (in weber) in a closed circuit of resistance 20 Ω varies with time t(s) as φ = 8t² – 9t + 5. The magnitude of the induced current at t = 0.25 s will be _____ mA.

Asked in JEE Main 25th July 2nd Shift 2022 · Induced current, heat and power

Answer: 250

Step-by-step solution

(dφ)/(dt)=16t-9.

At t=0.25: 4-9=-5 Wb s⁻¹, so |ε|=5 V.

I=5/(20)=0.25 A =250 mA.

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