Question 5.2: Calculate and sketch the derivative of the pulse in Figure 5......

In Example 5–1 the pulse waveform was written as

υ(t) = 3u (t − 1) − 3u (t − 3) V

Using the derivative property of the step function, we write

\frac{dυ(t)}{dt} = 3δ  (t  −  1)  −  3δ  (t  −  3)  V/s

The derivative waveform consists of a positive-going impulse at t = 1 s and a negativegoing impulse at t = 3 s. Figure 5–8(b) shows how the impulse train is represented graphically. The waveform υ(t) has the units of volts (V), so its derivative dυ(t)/dt has the units of V/s.