(Solved): Problem 10. Modeling RLC Circuits as Differential Equations Consider the below RLC circuit (in Figu ...

Problem 10. Modeling RLC Circuits as Differential Equations Consider the below RLC circuit (in Figure 3), express it as a differential equations and discuss when it will be overdamped, underdamped, or critically damped. Use KVL and remember the equations governing voltage and current through capacitors and inductors to get an ODE in terms of \( v_{\text {out }} \) and \( v_{i n} \) Figure 3: RLC Circuit