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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.

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.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
Problem 45PQ
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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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