When an inductor and a resistor are connected in series to an AC source, the power factor of the circuit is
\[
\frac{2}{\sqrt{13}}.
\]
If the same resistor and a capacitor are connected in series to the same AC source, then the power factor of the circuit is
\[
\frac{1}{\sqrt2}.
\]
If these inductor, capacitor and resistor are connected in series to the same AC source, then the ratio of the resistance and impedance of the LCR circuit is