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MHT CET 2026 (11 Apr, Shift 2) · Power, Power Factor & Wattless Current

Power, Power Factor & Wattless Current question from MHT CET 2026 (11 Apr, Shift 2)

Q5MHT CET 2026 · 11 APR · SHIFT 2Easy

Power, Power Factor & Wattless Current

In an a.c. circuit containing L, C and R in series, the ratio of apparent power to the true power is (Z= impedance of the circuit and R= resistance)

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Answer: (d)

  1. Apparent power =VrmsIrms= V_{rms}I_{rms}, true power =VrmsIrmscos⁡ϕ= V_{rms}I_{rms}\cos\phi.
  2. Ratio =1cos⁡ϕ= \frac{1}{\cos\phi} and cos⁡ϕ=RZ\cos\phi = \frac{R}{Z}.
  3. So apparent/true =ZR= \frac{Z}{R}.
  4. So the answer is (d) ZR\frac{Z}{R}.
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