Question
Asked Oct 8, 2019
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Exercise:
A square-wave voltage with amplitude 2 V and frequency 500 Hz is applied across
an ideal inductor. The inductance is 500 mH. Based on the mathematics discussed
above, we can say that the current will be a triangle-wave. What is the amplitude
of the triangle-wave current?
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Exercise: A square-wave voltage with amplitude 2 V and frequency 500 Hz is applied across an ideal inductor. The inductance is 500 mH. Based on the mathematics discussed above, we can say that the current will be a triangle-wave. What is the amplitude of the triangle-wave current?

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Expert Answer

Step 1

Amplitude of a square wave is 2 V, frequency is 500 Hz, and inductance is 500 mH

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The time period is 1 T = f 1 500 =2 ms

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Step 2

The square-wave voltage with amplitude 2 V is shown in Figure 1,

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v()t 2 (ms) 4 2 3 1 Figure

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Step 3
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In Figure 1, for 0 <t<1 ms, the current through the inductor is L 1 2dt 500 x 10 2 500 x 10 4t In Figure 1, for 1<t<2 ms, the current through the inductor is, 1 2dt +(-2)dt () 500 x 10 [2-(2) 2[2-2r+2] = 8-4t =4[2-

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