AP EAMCET · PHYSICS · Alternating Current
A resistor of resistance \(R\), inductor of inductive reactance \(2 R\) and a capacitor of capacitive reactance \(X_C\) are connected in series to an a.c. source. If the series LCR circuit is in resonance, then the power factor of the circuit and the value \(\mathrm{X}_{\mathrm{C}}\) are respectively
- A 0.5 and 4R
- B 1 and 2 R
- C 0.5 and 2R
- D I and 4R
Answer & Solution
Correct Answer
(B) 1 and 2 R
Step-by-step Solution
Detailed explanation
In LCR series circuit, at resonance, \(\mathrm{X}_{\mathrm{C}}=\mathrm{X}_{\mathrm{L}}=2 \mathrm{R}\) Power factor, \(\cos \phi=\frac{R}{Z}=\frac{R}{R}=1\)
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