Consider the star network shown in Fig. The resistance between terminals $$A$$ and $$B$$ with $$C$$ open is $$6\,\Omega ,$$ between terminals $$B$$ and $$C$$ with $$A$$ open is $$11\,\Omega ,$$ and between terminals $$C$$ and $$A$$ with $$B$$ open is $$9\,\Omega $$ . The values of $${R_A},\,\,{R_B},\,\,{R_C}$$ are:

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 $$\,\,\,\,\,\,\,\,M = 10\,mH.$$