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In the LCR circuit shown in figure unknown resistance and alternating voltage source are connected.When swith S is closed then there is a phase difference of pi/4 between current and applied voltage and voltage across resister is 100/sqrt2 V.When switch is open current and applied voltage are in same phase.Neglecting resistance of connecting wire answer the following questions : Average power consumption in the circuit when S is open: |
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Answer» `2500 W` `V_(rms(applied))=100` volts `V_(peak(applied))=100sqrt2` When switch is open `f=1/(2pisqrt(1/(25pi)xx1/(100pi)))=50/2=25 HZ` Resistance `R=X_(L)=X_(C)=2pifL=2Omega` Average POWER consumption =`(100/2)^(2)2=10000/2=5000 W`
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