Question
Physics Question on LCR Circuit
As given in the figure, a series circuit connected across a 200 V,60 Hz line consists of a capacitor of capacitive reactance 30Ω, a non-inductive resistor of 44Ω, and a coil of inductive resistance 90Ω and resistance 36Ω. The power dissipated in the coil is?
Answer
Explanation:
P=I2RIrms=VrmsZ (Irms→ root mean squaring current)Z=R2+(XL−XC)2 {z→ impidance }R=R1+R2(R→Req )R=44+36=80ΩZ=(80)2+(90−60)2=(80)2+(30)2Z=100ΩSo, Irms=VrmsZ=200∠0100=2 APower deposited in the coilP=I2RP=(2)2×36P=4×36P=144 watt.Hence, the correct answer is 144 watt.