Chapter 8.1, Problem 1AP

a.

To determine

Calculate the value of capacitance $\left(C\right)$ that makes the voltage response critically damped.

b.

To determine

Calculate the value of capacitance and the roots of the characteristic equation when the capacitance is adjusted to give a neper frequency of $5\text{krad}/\text{s}$.

c.

To determine

Calculate the value of capacitance and the roots of the characteristic equation when the capacitance is adjusted to give a resonant frequency of $20\text{krad}/\text{s}$.