Question:
In an AC circuit containing L, C, R in series, the ratio of true power to apparent power is
In an AC circuit containing L, C, R in series, the ratio of true power to apparent power is
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Power Factor ($\cos \phi$) = Resistance Impedance.
Updated On: Jun 19, 2026
- $Z/R$
- $\tan \phi$
- $\cot \phi$
- $R/Z$
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The Correct Option is D
Solution and Explanation
Step 1: Concept
True power $P = V_{rms} I_{rms} \cos \phi$. Apparent power $P_{app} = V_{rms} I_{rms}$.
Step 2: Meaning
The ratio $P/P_{app} = \cos \phi$, which is the Power Factor.
Step 3: Analysis
In an LCR circuit, $\cos \phi = R/Z$.
Step 4: Conclusion
Hence, the ratio is $R/Z$. Final Answer: (D)
True power $P = V_{rms} I_{rms} \cos \phi$. Apparent power $P_{app} = V_{rms} I_{rms}$.
Step 2: Meaning
The ratio $P/P_{app} = \cos \phi$, which is the Power Factor.
Step 3: Analysis
In an LCR circuit, $\cos \phi = R/Z$.
Step 4: Conclusion
Hence, the ratio is $R/Z$. Final Answer: (D)
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