Chapter 6, Problem 31P

a.

To determine

Derive the expression of $v_o\left(t\right)$ for $t\ge 0$ using the circuit with equivalent capacitor.

b.

To determine

Derive the expression for $v_1\left(t\right)$ for $t\ge 0$.

c.

To determine

Derive the expression for $v_2\left(t\right)$ for $t\ge 0$.

d.

To determine

Calculate the energy delivered to the black box in the interval $0\le t<\infty$.

e.

To determine

Calculate the energy stored initially in the series capacitors.

f.

To determine

Calculate the energy trapped in the ideal capacitors.

g.

To determine

Verify that the solutions of $v_1\text{and}{v}_2$ are agree with the energy obtained in part (f).