Chapter 8, Problem 4P

(a)

To determine

Find the roots of the characteristic equation that describes the voltage response of the circuit.

(b)

To determine

Find whether the response is over-, under-, or critically damped response.

(c)

To determine

Calculate the value of resistance that yields a damped frequency of $12\text{k}\text{rad}/\text{s}$.

(d)

To determine

Find the roots of the characteristic equation for the value of resistance obtained in Part (c).

(e)

To determine

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