Most signals (responses from transducers, audio, radio waves) are complex waveforms, i.e., a mixture of many frequencies. Consider a signal that is the sum of two AC voltages at frequencies of 100 Hz and 10 kHz, each with amplitude Vo = 1 Volt. The signal is passed through a low pass filter with time constant 7 = RC = 1 msec. The circuit and input waveform are shown below: 100 Hz 10 kHz w R C = V in t Because the equations describing networks of R's and C's are linear, the voltage across a component is just the sum of its response to each frequency component separately. Sketch what this (total) output waveform would look like.

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Most signals (responses from transducers, audio, radio waves) are complex waveforms, i.e., a mixture of many frequencies.
Consider a signal that is the sum of two AC voltages at frequencies of 100 Hz and 10 kHz, each with amplitude Vo = 1
Volt. The signal is passed through a low pass filter with time constant 7 = RC = 1 msec. The circuit and input waveform are
shown below:
100 Hz
10 kHz
w
R
C = V
in
t
Because the equations describing networks of R's and C's are linear, the voltage across a component is just the sum of its
response to each frequency component separately. Sketch what this (total) output waveform would look like.
Transcribed Image Text:Most signals (responses from transducers, audio, radio waves) are complex waveforms, i.e., a mixture of many frequencies. Consider a signal that is the sum of two AC voltages at frequencies of 100 Hz and 10 kHz, each with amplitude Vo = 1 Volt. The signal is passed through a low pass filter with time constant 7 = RC = 1 msec. The circuit and input waveform are shown below: 100 Hz 10 kHz w R C = V in t Because the equations describing networks of R's and C's are linear, the voltage across a component is just the sum of its response to each frequency component separately. Sketch what this (total) output waveform would look like.
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