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In an LCR series circuit, the reading of...

In an LCR series circuit, the reading of ideal voltmeters `V_(1)` and `V_(2)` are `20sqrt(2)` volt and 15 volts respectively as shown in the figure (the given circuit in inductive in nature). Then

A

The voltage across resistor is 20 volts

B

The voltage across inductor is 20 volts

C

The voltage across capacitor is 5 volts

D

The power factor of the circuit is `4/5`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`V_(R)^(2)+V_(L)^(2)=V_(1)^(2)=(20sqrt(2))^(2)=800`……(i)
`V_(L)-V_(C)=15` …………….(ii)
`sqrt(V_(R)^(2)+(V_(L)-V_(C))^(2))=(25)^(2)`
`V_(R)^(2)+225=625`

`V_(0)=` source voltage
`impliesV_(R)=20` volts
`V_(L)=20` volts
`V_(L)-V_(C)=15`
`20-V_(C)=15`
`V_(C)=5` volts
Power factor `=cosphi =R/2=(iR)/(iZ)=(V_(R))/(V_(Z))=20/25=4/5`
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