The magnetic flux through a loop of resistance 10 Ω varying according to the relation φ = 6t² + 7t + 1, where φ is in milliweber, time is in second at time t = 1 s the induced e.m.f. is (a) 12 mV (b) 7 mV (c) 19 mV (d) 19 V

Answer: (c). e = (dφ)/(dt) = 12t + 7 (in mV, since φ is in mWb) At t = 1 s: e = 12 + 7 = 19 mV So the answer is (c) 19 mV.

The magnetic flux through a loop of resistance 10 Ω varying according… | MHT CET 2023 (9 May, Shift 1)

Q48MHT CET 2023 · 9 MAY · SHIFT 1Medium

Magnetic Flux & Faraday's Law

The magnetic flux through a loop of resistance $10\ \Omega$ varying according to the relation $\phi = 6t^{2} + 7t + 1$ , where $\phi$ is in milliweber, time is in second at time $t = 1\text{ s}$ the induced e.m.f. is

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Answer: (c)

$e = \frac{d\phi}{dt} = 12t + 7$ (in mV, since $\phi$ is in mWb)
At $t = 1$ s: $e = 12 + 7 = 19$ mV
So the answer is (c) 19 mV.

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