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JEE Main 2002 (AIEEE) · Power, Power Factor & Wattless Current

Power, Power Factor & Wattless Current question from JEE Main 2002 (AIEEE)

Q80JEE Main 2002 · AIEEEEasy

Power, Power Factor & Wattless Current

The power factor of ACAC circuit having resistance (R)(R) and inductance (L)(L) connected in series and an angular velocity ω\omega is

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Answer: (b)

  1. For series LR, Z=R2+ω2L2Z = \sqrt{R^2 + \omega^2L^2}.
  2. Power factor cos⁡ϕ=RZ=R(R2+ω2L2)1/2\cos\phi = \frac{R}{Z} = \frac{R}{(R^2 + \omega^2L^2)^{1/2}}.
  3. So the answer is (b).
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