In the LCR circuit shown in figure. Pick up the wrong statement?

Options

A. current leads the applied emf
B. rms value of current is `10sqrt2` A
C. power factor of the circuit is `1/sqrt2`
D. RMS voltage drop across capacitor and inductor together is `300sqrt2` V

Answer

D

Explanation

since `X_C gt X_L`, current will lead Impedance is `Z= sqrt(R^2 + (X_C - X_L)^2)=10sqrt2Omega` where `R, X_C & X_L` represents resistance, capacitive reactance and inductive reactance respectively. `I_(rms) = V_(rms)/Z =200/(10sqrt2)=10sqrt2A`
Power factor `cosphi = R/Z =1/sqrt2`
`V_R = i_("rms")R = 100sqrt2V`