Consider a series LCR circuit connected to an AC supply of 220V. If voltage drop across resistance R is `V_R,` voltage drop across capacitor is `V_c =2V_R` and that across inudctor coil is `V_L = 2V_R` then choose correct alternative(s)

Options

A. `V_(R)=220sqrt(2)`
B. Power factor of circuit is `1/(sqrt(2))`
C. `V_(R)=156 V`
D. Phase difference between current and source voltage is `(pi)/4`

Explanation

`V_(R),V_(L),V_(C)` are rms voltage across the R,L & C respectively

`theta=(pi)/4`
`P.F. =1000=1/(sqrt(2))`
`sqrt(2) V_(R)=220`
`V_(R)=220/(sqrt(2))=156 V`