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COMEDK · Physics · 23. Alternating Current

An alternating voltage \(=200 \sin 100 t\) is applied to a series combination of \(R=30 \Omega\) and an inductor of \(400 \mathrm{mH}\). The power factor of the circuit is,

  1. A 0.01
  2. B 0.6
  3. C 0.05
  4. D 0.042
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Answer & Solution

Correct Answer

(B) 0.6

Step-by-step Solution

Detailed explanation

The given alternating voltage is \(V = 200 \sin(100t)\), which is of the form \(V = V_m \sin(\omega t)\). Comparing the two, the angular frequency is \(\omega = 100 \text{ rad/s}\). The resistance is \(R = 30 \Omega\) and the inductance is \(L = 400 \text{ mH} = 0.4 \text{ H}\).…
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