An inductor 20 mH, a capacitor 100μF and a resistor 50Ω are connected in series across a source of emf, V=10sin314t. The power loss in the circuit is?
2.74 W
1.13 W
0.79 W
0.43 W
A
0.43 W
B
2.74 W
C
0.79 W
D
1.13 W
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Solution
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L=20mHC=100μFR=50Ω
V=10sin(314t)
V0=10, ω=314
XL=wL=314×20×10−3=6.28Ω
XC=1ωC=31.8Ω
Z=√R2+(XC−XL)2=56.1
PowerlossP=V20R2Z2=0.79W
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An inductor of inductance 20mH, a capacitor of capacitance 100µF and a resistor of resistance 50Ω are connected in series across a source of emf, V=10sin(314t). The power loss in the circuit is