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Series LCR Circuit question from NEET 2025

Q15NEET 2025Easy

Series LCR Circuit

To an ac power supply of 220 V at 50 Hz, a resistor of 20 Ω20\ \Omega, a capacitor of reactance 25 Ω25\ \Omega and an inductor of reactance 45 Ω45\ \Omega are connected in series. The corresponding current in the circuit and the phase angle between the current and the voltage is, respectively

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Answer: (d)

  1. Z=202+(45−25)2=202≈28.3 ΩZ = \sqrt{20^2 + (45 - 25)^2} = 20\sqrt{2} \approx 28.3\ \Omega
  2. I=22028.3≈7.8I = \frac{220}{28.3} \approx 7.8 A
  3. tan⁡ϕ=XL−XCR=2020=1⇒ϕ=45∘\tan\phi = \frac{X_L - X_C}{R} = \frac{20}{20} = 1 \Rightarrow \phi = 45^\circ
  4. So the answer is (d) 7.8 A and 45∘45^\circ.
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