Chapter 17, Problem 40P

(a)

To determine

Find $v_o\left(t\right)$ for the given circuit.

(b)

To determine

Plot $\left|V_g\left(\omega \right)\right|$ for $-5\le \omega \le 5\frac{\text{rad}}{\text{s}}$.

(c)

To determine

Plot $\left|V_o\left(\omega \right)\right|$ for $-5\le \omega \le 5\frac{\text{rad}}{\text{s}}$.

(d)

To determine

Find the $1\Omega$ energy content of $v_g$.

(e)

To determine

Find the $1\Omega$ energy content of $v_o$.

(f)

To determine

Calculate the percentage of the total $1\Omega$ energy content in $v_g$ lies in the frequency range $0\le \left|\omega \right|\le 2\frac{\text{rad}}{\text{s}}$.

(g)

To determine

Calculate the percentage of the total $1\Omega$ energy content in $v_o$ lies in the frequency range $0\le \left|\omega \right|\le 2\frac{\text{rad}}{\text{s}}$.