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MHT CET 2026 (18 Apr, Shift 2) · Series LCR Circuit

Series LCR Circuit question from MHT CET 2026 (18 Apr, Shift 2)

Q2MHT CET 2026 · 18 APR · SHIFT 2Easy

Series LCR Circuit

In the series LCR circuit shown in figure the impedance is

Figure

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Answer: (b)

  1. ω=2πf=2π×50π=100\omega = 2\pi f = 2\pi \times \frac{50}{\pi} = 100 rad/s
  2. XL=ωL=100 ΩX_L = \omega L = 100\ \Omega, XC=1ωC=1100×20×10−6=500 ΩX_C = \frac{1}{\omega C} = \frac{1}{100 \times 20 \times 10^{-6}} = 500\ \Omega
  3. Z=3002+(500−100)2=90000+160000=500 ΩZ = \sqrt{300^2 + (500 - 100)^2} = \sqrt{90000 + 160000} = 500\ \Omega
  4. So the answer is (b) 500 Ω500\ \Omega.
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