To an AC power supply of 220 V at 50 Hz, a resistor of 20 Ω, a capacitor of reactance 25 Ω and an inductor of reactance 45 Ω 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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NEET 2025 Official Paper (Held On: 04 May, 2025)
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  1. 7.8 A and 30°
  2. 7.8 A and 45°
  3. 15.6 A and 30°
  4. 15.6 A and 45°

Answer (Detailed Solution Below)

Option 2 : 7.8 A and 45°
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Correct option is: (2) 7.8 A and 45°

XL = 45 W, XC = 25 W, R = 20 W

⇒ I = 220 / √((XL − XC)2 + R2) = 220 / √((45 − 25)2 + 202)

⇒ = 220 / (2√2) = 11 / √2 = 7.779 A

⇒ tan φ = (XL − XC) / R = (45 − 25) / 20 = 1

⇒ φ = 45°

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