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.
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.
Chapter15: Alternating-current Circuits
Section: Chapter Questions
Problem 65CP: Find the reactances of the following capacitors and inductors in ac circuits with the given...
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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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