A LCR series circuit driven with E_r m s=90 V at frequency f_d =30 Hz has resistance R=80 Ω, an inductance with inductive reactance X_L=20.0 Ω and…

A LCR series circuit driven with $\displaystyle E_{r m s}=90 \mathrm{~V}$ at frequency $\displaystyle f_{\mathrm{d}}=30 \mathrm{~Hz}$ has resistance $\displaystyle R=80 \Omega$, an inductance with inductive reactance $\displaystyle X_L=20.0 \Omega$ and capacitance with capacitive reactance $\displaystyle X_C=80.0 \Omega$. The power factor of the circuit is $\displaystyle \_\_\_\_$.