MHT CET · Physics · Alternating Current
A series LCR circuit is connected to an a.c. source of \(230 \mathrm{~V}, 50 \mathrm{~Hz}\). The circuit contains resistance of \(80 \Omega\) an inductor having inductive reactance \(70 \Omega\) and a capacitor of capacitive reactance \(130 \Omega\). The power factor of the circuit is \(x\). The value of \(x\) is
- A \(0.4\)
- B \(0.8\)
- C \(0.6\)
- D \(0.9\)
Answer & Solution
Correct Answer
(B) \(0.8\)
Step-by-step Solution
Detailed explanation
\(X_L - X_C = 70 - 130 = -60 \, \Omega\) \(Z = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{80^2 + (-60)^2} = \sqrt{6400 + 3600} = \sqrt{10000} = 100 \, \Omega\)
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