Question 18.5: Make a Bode plot for the filler in Figure 18-14 for three de...

Make a Bode plot for the filler in Figure 18-14 for three decades of frequency. Use semilog graph paper.

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The critical frequency for this high-pass filter is

f_{c}= \frac{1}{2\pi RC}= \frac{1}{2\pi (330 \ \Omega )(0.047 \ \mu F)}= 10.3 \ kHz\cong 10 \ kHz

The idealized Bode plot is shown with the red line on the semilog graph in Figure 18-15. The approximate actual response curve is shown with the blue line. Notice first that the horizontal scale is logarithmic and the vertical scale is linear. The frequency is on the logarithmic scale, and the filter output in decibels is on the linear scale. The output is flat above f_{c} (approximately 10 kHz). As the frequency is reduced below f_{c}the output drops at a —20 dB/decade rate. Thus, for the ideal curve, every time the frequency is reduced by ten, the output is reduced by 20 dB. A slight variation from this occurs in actual practice. The output is actually at —3 dB rather than 0 dB at the critical frequency.

Bode plot for Figure 18-14. The red line is the ideal response curve and the blue line is the actual response curve.

Screenshot (878)

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