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NEET2026PhysicsChapterActual

An alternating voltage of 240 V (rms) is applied across a series combination of a 12 , resistor, an inductor of reactance 30 , , and a capacitor of reactance 14 , . What is the rms current drawn from the source and the power factor of the circuit, respectively?

Options

  1. A12 A and 0.8
  2. B12 A and 0.6
  3. C15 A and 0.75
  4. D8.6 A and 0.43

Correct answer

B. 12 A and 0.6

Step-by-step solution

The net reactance of the series RLC circuit is given by: X = X_L - X_C = 30 - 14 = 16 , The impedance of the circuit is: Z = R^2 + X^2 = 12^2 + 16^2 = 144 + 256 = 20 , The rms current drawn from the source is: I_ rms = V_ rms Z = 240 20 = 12 A The power factor of the circuit is: = R Z = 12 20 = 0.6 Answer: 12 A and 0.6

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