In a series LCR circuit the voltage across an inductor, capacitor and resistor are 20 V, 20 V and 40 V respectively. The phase difference between the applied voltage and the current in the circuit is

Options

A. `30^(@)`
B. `45^(@)`
C. `60^(@)`
D. `0^(@)`

Answer

D

Explanation

Let `phi` be the phase difference between the applied voltage and current. Then
`tan phi = (X_(L)-X_(C ))/(R )=(I_(V)(X_(L)-X_(C )))/(I_(V)R)`
`=(V_(L)-V_(C ))/(V_(R ))=(20V-20V)/(40V)=0`
`therefore phi = tan^(-1)(0)=0^(@)`