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

Options

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`

Answer

A, B, C, D

Explanation

`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`