Question 24.7: Given a periodic pulse waveform with a duty cycle of 28%, a ...

Given a periodic pulse waveform with a duty cycle of 28%, a peak value of 7 V, and a base-line voltage of -3 V:
a. Determine the average value.
b. Sketch the waveform.
c. Verify the result of part (a) using the method of Section 13.7.

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a. By Eq. (24.5),

V_{ av }=(\text { duty cycle })(\text { peak value })+(1-\text { duty cycle })\left(V_{b}\right)           (24.5).

V_{ av }=(\text { duty cycle })(\text { peak value })+(1-\text { duty cycle })\left(V_{b}\right).

=(0.28)(7 V )+(1-0.28)(-3 V )=1.96 V +(-2.16 V ).

=-0.2 V.

b. See Fig. 24.16.

\text { c. } G=\frac{(7 V )(0.28 T)-(3 V )(0.72 T)}{T}=1.96 V -2.16 V.

=-0.2 V.

as obtained above.

24.16

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