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 V。 = 1 Volt. The signal is passed through a low pass filter with time constant ▾ RC = 1 msec. The circuit and input waveform are shown below: = V. in ww R 100 Hz C V 10 kHz WWW 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 V。 = 1
Volt. The signal is passed through a low pass filter with time constant ▾ RC = 1 msec. The circuit and input waveform are
shown below:
=
V.
in
ww
R
100 Hz
C
V
10 kHz
WWW
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 V。 = 1 Volt. The signal is passed through a low pass filter with time constant ▾ RC = 1 msec. The circuit and input waveform are shown below: = V. in ww R 100 Hz C V 10 kHz WWW 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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