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MHT CET 2023 (14 May, Shift 2) · RL and RC Series Circuits

RL and RC Series Circuits question from MHT CET 2023 (14 May, Shift 2)

Q33MHT CET 2023 · 14 MAY · SHIFT 2Easy

RL and RC Series Circuits

A coil having an inductance of 1π H\frac{1}{\pi}\text{ H} is connected in series with a resistance of 300 Ω300\ \Omega. If 20 V20\text{ V} from a 200 Hz200\text{ Hz} source are impressed across the combination, the value of the phase angle between the voltage and the current is

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Answer: (d)

  1. For a series LR circuit, tan⁡ϕ=XLR\tan\phi = \frac{X_L}{R} with XL=2πfLX_L = 2\pi f L.
  2. XL=2π×200×1π=400 ΩX_L = 2\pi \times 200 \times \frac{1}{\pi} = 400\ \Omega
  3. tan⁡ϕ=400300=43\tan\phi = \frac{400}{300} = \frac{4}{3}
  4. So the answer is (d) tan⁡−1(43)\tan^{-1}\left(\frac{4}{3}\right).
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