Question
Download Solution PDFAn inductor L , 5 Ω and 10 Ω resistors are all connected in series across a voltage source v(t) = 50 cos ωt volt. 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:
R-L Series circuit:
Since voltage across inductor leads the current through the inductor by 90°
Vin = VR + j VL
IZ = IR + j IωL [For series circuit current is common]
Z = R + j XL ( ωL = XL )
By impedance triangle:
Analysis:
P = I2RMS.R
10 = I2RMS. 5
I2RMS = 2
IRMS = √2 A
Im = √2× IRMS = 2A
Vm = 50∠0°
= 25
= 0.6
Last updated on Jul 2, 2025
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