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Exercise 11.8 Compute the peak gain and corner frequencies for a passive band-pass filter which has a 1.5 k resistor and 220 nF in series for the subcircuit connecting the input to the output, and 15k and 4.7 nF in parallel for the subcircuit connecting the reference voltage to the output. Express the corner frequencies in Hz (f), not radians/s (w = 2πf). Use gnuplot to create a Bode plot (log-log plot of gain as a function of frequency) for 1 Hz to 1 MHz. Use the functions in definitions.gnuplot (Figure 7.4) to make a readable function (that is, one that expresses the serial and parallel connections) for the gain of a passive band-pass filter, and plot the absolute value of that gain function, passing in the specific values for the components. (Sanity check: is the peak of the plot at the frequency and gain you expect?) Bonus: write an approximation function using the if-then-else expression “i?t:e" to plot the three straight lines, changing which line is plotted at each corner: f

Exercise 11.8 Compute the peak gain and corner frequencies for a passive band-pass filter which has a 1.5 k resistor and 220 nF in series for the subcircuit connecting the input to the output, and 15k and 4.7 nF in parallel for the subcircuit connecting the reference voltage to the output. Express the corner frequencies in Hz (f), not radians/s (w = 2πf). Use gnuplot to create a Bode plot (log-log plot of gain as a function of frequency) for 1 Hz to 1 MHz. Use the functions in definitions.gnuplot (Figure 7.4) to make a readable function (that is, one that expresses the serial and parallel connections) for the gain of a passive band-pass filter, and plot the absolute value of that gain function, passing in the specific values for the components. (Sanity check: is the peak of the plot at the frequency and gain you expect?) Bonus: write an approximation function using the if-then-else expression “i?t:e" to plot the three straight lines, changing which line is plotted at each corner: f

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Exercise 11.8 Compute the peak gain and corner frequencies for a passive band-pass filter which has a 1.5 k resistor and 220 nF in series for the subcircuit connecting the input to the output, and 15k and 4.7 nF in parallel for the subcircuit connecting the reference voltage to the output. Express the corner frequencies in Hz (f), not radians/s (w = 2πf). Use gnuplot to create a Bode plot (log-log plot of gain as a function of frequency) for 1 Hz to 1 MHz. Use the functions in definitions.gnuplot (Figure 7.4) to make a readable function (that is, one that expresses the serial and parallel connections) for the gain of a passive band-pass filter, and plot the absolute value of that gain function, passing in the specific values for the components. (Sanity check: is the peak of the plot at the frequency and gain you expect?) Bonus: write an approximation function using the if-then-else expression “i?t:e" to plot the three straight lines, changing which line is plotted at each corner: f<Lc? Lline : f<Hc? Const: Hline, where each of the names other than f is appropri- ately replaced with the proper expression for the corner frequency or the straight-line approximation.
Transcribed Image Text:Exercise 11.8 Compute the peak gain and corner frequencies for a passive band-pass filter which has a 1.5 k resistor and 220 nF in series for the subcircuit connecting the input to the output, and 15k and 4.7 nF in parallel for the subcircuit connecting the reference voltage to the output. Express the corner frequencies in Hz (f), not radians/s (w = 2πf). Use gnuplot to create a Bode plot (log-log plot of gain as a function of frequency) for 1 Hz to 1 MHz. Use the functions in definitions.gnuplot (Figure 7.4) to make a readable function (that is, one that expresses the serial and parallel connections) for the gain of a passive band-pass filter, and plot the absolute value of that gain function, passing in the specific values for the components. (Sanity check: is the peak of the plot at the frequency and gain you expect?) Bonus: write an approximation function using the if-then-else expression “i?t:e" to plot the three straight lines, changing which line is plotted at each corner: f<Lc? Lline : f<Hc? Const: Hline, where each of the names other than f is appropri- ately replaced with the proper expression for the corner frequency or the straight-line approximation.
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