Question
Download Solution PDFIn the circuit shown in the figure, if the power consumed by the 5 Ω resistor is 10 W, then the power factor of the circuit is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The given circuit is R-L series circuit. Therefore current will be equal in all the element.
Given, Power consumed by 5 Ω resister is 10 W.
i.e, \(\rm I^2_{rms}=10\)
⇒ \(\rm I^2_{rms}=\frac{10}{5}=2\ A\)
⇒ Irms = √2 A
Vs = 50 sin ωt
Vsrms = 50 / √2
∴ \(\rm z=\frac{V_{srms}}{I_{rms}}=\frac{50/√{2}}{√{2}} Ω=25\ Ω\)
req = 5 + 10 = 15 Ω
∴ \(\rm \cos\phi=\frac{R_{eq}}{z_{eq}}=\frac{15}{25}=0.6\)
Therefore, correct option will be 3.
Last updated on Mar 26, 2025
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