Exercise

Consider a 10 mH inductor. The current through the inductor has the waveform shown in Figure 13.4.

Figure 13.4 (a) Current waveform (b) Voltage waveform

What is the waveform for the voltage?

Type your solution in the box below:

Solution:

First we should describe the current mathematically.

The first portion of the current signal is represented by a straight line with a positive slop.

It is expressed by the following equation


The second portion of the signal is represented by a straight line with a negative slope.

It is expressed by the following equation


The current is zero for 4 ms 0.

Use Equation (13.3) to find the voltage


and


and v(t) = 0 for 4 ms t.

The voltage waveform is shown in Figure 13.4(b).