A conducting loop of resistance 'R' is moved to magnetic field, the total induced charge depends upon (a) initial magnetic flux and R. (b) final magnetic flux and R. (c) the total change in magnetic flux and R. (d) the rate of change of magnetic flux and R.

Answer: (c). q = (Δφ)/(R), obtained by integrating I = 1/R(dφ)/(dt) over time. It depends on the net change in flux and on R, not on how fast the flux changes. So the answer is (c) the total change in magnetic flux and R.

A conducting loop of resistance 'R' is moved to magnetic field, the… | MHT CET 2021 (23 Sep, Shift 2)

Q63MHT CET 2021 · 23 SEP · SHIFT 2Easy

Magnetic Flux & Faraday's Law

A conducting loop of resistance 'R' is moved to magnetic field, the total induced charge depends upon

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Answer: (c)

$q = \frac{\Delta\phi}{R}$ , obtained by integrating $I = \frac{1}{R}\frac{d\phi}{dt}$ over time.
It depends on the net change in flux and on $R$ , not on how fast the flux changes.
So the answer is (c) the total change in magnetic flux and $R$ .

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Magnetic Flux & Faraday's Law question from MHT CET 2021 (23 Sep, Shift 2)

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