A unit step voltage is applied at $$t = 0$$ to a series $$RL$$ circuit with zero initial conditions.

In a series $$RLC$$ circuit at resonance, the magnitude of the voltage developed across the capacitor

Determine the resonance frequency and the $$Q$$ $$-$$ factor of the circuit shown in Fig.

Data: $$\,\,\,\,\,R = 10\,\Omega ,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C = 3\,\mu F,$$
$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{L_1} = 40\,mH,\,\,\,\,\,\,\,\,{L_2} = 10\,mH$$
and $$\,\,\,\,\,\,\,\,M = 10\,mH.$$

A passive 2-port network is in a steady state.Compare to its input, the steady state output can never offer