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JEE Main 2023 (11 Apr, Shift 1) · Magnetic Flux & Faraday's Law

Magnetic Flux & Faraday's Law question from JEE Main 2023 (11 Apr, Shift 1)

Q47JEE Main 2023 · 11 APR · SHIFT 1Medium

Magnetic Flux & Faraday's Law

The magnetic field B crossing normally a square metallic plate of area 4 m24\text{ m}^{2} is changing with time as shown in figure. The magnitude of induced emf in the plate during t=2 st = 2\text{ s} to t=4 st = 4\text{ s}, is __________ mV\text{mV}.

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 8

  1. From the graph, BB rises uniformly: dBdt=8−44−2=2\frac{dB}{dt} = \frac{8 - 4}{4 - 2} = 2 mT/s.
  2. e=AdBdt=4×2×10−3e = A\frac{dB}{dt} = 4 \times 2 \times 10^{-3} V
  3. So the induced emf is 88 mV.
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