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MHT CET 2026 (16 Apr, Shift 2) · AC Generator & Transformer

AC Generator & Transformer question from MHT CET 2026 (16 Apr, Shift 2)

Q7MHT CET 2026 · 16 APR · SHIFT 2Medium

AC Generator & Transformer

Alternating current of peak value (2π)\left(\frac{2}{\pi}\right) A flows through the primary coil of a transformer. The coefficient of mutual inductance between primary and secondary coils is 1H. The peak value of induced e.m.f. in the secondary coil is

(Frequency of a.c. = 50 Hz)

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Answer: (c)

  1. e=MdIdte = M\dfrac{dI}{dt}; for I=I0sin⁡ωtI = I_0\sin\omega t, peak e0=MωI0e_0 = M\omega I_0.
  2. ω=2π×50=100π rad/s\omega = 2\pi \times 50 = 100\pi\text{ rad/s}
  3. e0=1×100π×2π=200 Ve_0 = 1 \times 100\pi \times \dfrac{2}{\pi} = 200\text{ V}
  4. So the answer is (c) 200 V.
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