Chapter 6, Problem 26P

a.

To determine

Derive the expression of the current $i\left(t\right)$ for $t\ge 0$.

b.

To determine

Derive the expression of the current $i_1\left(t\right)$ for $t\ge 0$.

c.

To determine

Derive the expression of the current $i_2\left(t\right)$ 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 parallel inductors.

f.

To determine

Calculate the energy trapped in the ideal inductors.

g.

To determine

Verify that the solutions of $i_1\text{and}{i}_2$ are agree with the trapped energy obtained in part (f).