In a `R-L-C` series circuit shown in readings of voltmeters `V_1` and `V_2` are `100V` and `120 V`.
Choose the corredct statement(s).
.

Options

A. Voltage across resistor, inductor and capacitor are `50 V, 86.6 V` and `206.6 V` respectively
B. Voltage across resistor, inductor and capacitor are `10 V, 90 V` and `30 V` respectively
C. Power factor of the circuit is `5/13`
D. Circuit is capacitive in nature

Answer

A, C, D

Explanation

`sqrt V_R^2+V_L^2=100`....(i)
`V_L~V_C=120`…(ii)
`sqrt(V_R^2+(V_L~V_C)^2)=130`….(iii)
Solving these three equations, we get
`V_R=50V,V_L=86.6V` and `V_C=206.6V`
Power factor `=cosphi=R/Z=V_R/V=50/130=5/13`
Since `V_CgtV_L`, circuit is capacitive in nature.