Chapter 2, Problem 28P

The characteristic equation of a series RLC circuit shown in Fig. P2.28 is given as

(2.71)

(a) $R=7\Omega ,L=1$, and $C=0.1$ F, solve the quadratic equation (2.71) for the values of (called the eigen-values of the system) using the methods of completing the square and the quadratic formula.

(h) Repeat part (a) if $R=10\Omega ,L=1$ H, and $C=\frac{1}{25}F$.