Q No. 2 (a): An RCL circuit (as shown in Figure) has C = 5.56 x 103 farad, L = 20 henries. After charging the capacitor, the switch is thrown to b (i.e. at t = 0). Find the resistance (R) of the...

Extracted text: Q No. 2 (a): An RCL circuit (as shown in Figure) has C = 5.56 x 103 farad, L = 20 henries. After charging the capacitor, the switch is thrown to b (i.e. at t = 0). Find the resistance (R) of the resistor for critical damping (i.e. when the characteristic equation of the associated ODE has a single repeated root). a Q No. 2 (b): For the same RCL circuit of 2(a), find the normalized solutions of the corresponding ODE. Determine equations for the subsequent charge (as a function of t) on the capacitor and the current in the circuit. It is given that when the switch S was thrown to b (i.e. at t = 0), the initial charge on capacitor was 1 Coulomb.