Chapter 9.5, Problem 41E

To determine

(a)

To solve for $I\left(t\right)$ for the given initial condition.

To determine

(b)

To show:

$\underset{t\to \infty }{\lim }I\left(t\right)=\frac{V}{R}$ and that $I\left(t\right)$ reaches approximately 63% of its limiting value after $\frac{L}{R}$ seconds.

To determine

(c)

To find:

The time taken for $I\left(t\right)$ to reach 90% of its limiting value if $R=500$ ohms, $L=4$ henries, and $V=20$ volts.