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In the LCR circuit shown in figure unkno...

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:

A

`2500 W`

B

`3000 W`

C

`5000 W`

D

`1250 W`

Text Solution

Verified by Experts

The correct Answer is:
C
When switch is closed
`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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