Develop a series RLC circuit that increases the capacitor voltage to the source voltage as fast...

Develop a series RLC circuit that increases the capacitor voltage to the source voltage as fast as possible with no more than a 20% overshoot. The source voltage is 99V, the capacitance is 9F the and the inductance is 23 H. You can adjust the resistance since that the inductance are the two easiest parameters to adjust. I suggest you find ω0 for your circuit and the value of R that results in a critically damped circuit. Plot this vs. time using Δt ≈ 0.1/ω0. Plot the under damped response on the same set of axes. Hint – the resistance will be lower than for the critically damped circuit. Adjust the resistance to so that the capacitor voltage reaches the source voltage as soon as possible without overshooting by more than 20%.

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