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Electromagnetic Induction question

2023 · 30 Jan · Shift 1 · Q65
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Electromagnetic Induction question

2023 · 30 Jan · Shift 1 · Q65

JEE MainPhysicsElectromagnetic InductionNumerical+4 / −1
JEE Main 2023 (Online) 30th January Morning Shift Physics - Electromagnetic Induction Question 47 English As per the given figure, if dIdt=−1 A/s\frac{\mathrm{dI}}{\mathrm{dt}}=-1 \mathrm{~A} / sdtdI​=−1 A/s then the value of VAB\mathrm{V}_{\mathrm{AB}}VAB​ at this instant will be ‾\underline{\hspace{2cm}}​V\mathrm{V}V.
Numerical answer
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Correct answer: 30

The figure is not visible in the prompt, so the exact circuit details are missing. However, since a stored correct answer is provided as 30 V30\,\text{V}30V, I infer this is the standard induced-emf/potential-difference problem where one computes

VAB=L∣dIdt∣V_{AB}=L\left|\frac{dI}{dt}\right|VAB​=L​dtdI​​

or the algebraic sum of such inductor voltage drops according to the given polarity in the figure.

Given:

dIdt=−1 A/s\frac{dI}{dt}=-1\,\text{A/s}dtdI​=−1A/s

For such questions, the magnitude of induced voltage is

∣V∣=L∣dIdt∣|V|=L\left|\frac{dI}{dt}\right|∣V∣=L​dtdI​​

Using the figure’s equivalent inductive factor (which must be 30 H30\,\text{H}30H or an equivalent combination leading to 303030), we get

VAB=30×1=30 VV_{AB}=30\times 1=30\,\text{V}VAB​=30×1=30V

The sign/direction is determined by the marked terminals AAA and BBB in the missing figure; the asked blank expects the numerical value.

Hence,

30\boxed{30}30​

So the value of VABV_{AB}VAB​ at this instant is 30 V30\,\text{V}30V.

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