In an oscillating $$L C$$-circuit, $$L=3 \mathrm{mH}$$ and $$C=2.7 \mu \mathrm{F}$$. At $$t=0$$, the charge on the capacitor is zero and the current is $$2 \mathrm{~A}$$. The maximum charge that will appear on the capacitor will be

In the given circuit the peak voltage across $$C, L$$ and $$R$$ are $$30 \mathrm{~V}, 110 \mathrm{~V}$$ and $$60 \mathrm{~V}$$, respectively. The rms value of the applied voltage is

The power factor of $$R-L$$ circuit is $$\frac{1}{\sqrt{3}}$$. If the inductive reactance is $$2 \Omega$$. The value of resistance is

In the given circuit, the resonant frequency is