Chapter 5, Problem 27P

A resistor, R = 4O, and an inductor, L = 1.3 H, are connected in a circuit to a voltage source as shown in Figure (a) (an RL circuit). When the voltage

source applies a rectangular voltage pulse with an amplitude of V = 12 V and a duration of 0.5 s, as shown in Figure (b), the current i(t) in the circuit as a function of time is given by:

$i(t)=\frac{V}{R}(1-e^{-Rt/L})$ for $0\le t\le 0.5$ s

$i(t)=e^{-Rt/L}\frac{V}{R}(e^{0.5R/L}-1)$ for $0.5\le t$ s.

Make a plot of the current as a function of time for $0\le t\le 2$ s.