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Quiz 1 - Harmonics and Duty Cycle


Given a Rectangular Square Wave with a Period of 8ms and a Pulse Width of 2ms and a peak voltage of 10 volts, determine the percent Duty Cycle and the third harmonic of the waveform.


Solution:

We are provided with the Period (T) and the Pulse Width (tau); using the formula,

Duty Cycle (DS) = tau / T
DS = 2ms / 8ms
DS = 0.25 x100 = 25 Percent

For the third harmonic calculations:

V3 = (2V(tau) / T)(sin (n pi DS) / pi DS)
V3 = 2(10)(0.25) sin (0.25 pi) / 0.25 pi
V3 = 0.0873 volts


Engineering key words: duty cycle, DS, pop quiz, RF, harmonics, nth order, peak voltage, pulse and period.


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