A circuit has a network function H o k 1 jo=z jo (a) Find the high- and low-frequency

Chapter 13, Problem P13.3-9

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QUESTION:

A circuit has a network function

                               \(\mathbf{H}(\omega)=\frac{k(1+j \omega / z)}{j \omega}\)

(a) Find the high- and low-frequency asymptotes of the magnitude Bode plot.

(b) The high- and low-frequency asymptotes comprise the magnitude Bode plot. Over what ranges of frequencies is the asymptotic magnitude Bode plot of \(\mathbf{H}(\omega)\) within 1 percent of the actual value of \(\mathbf{H}(\omega)\)?

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QUESTION:

A circuit has a network function

                               \(\mathbf{H}(\omega)=\frac{k(1+j \omega / z)}{j \omega}\)

(a) Find the high- and low-frequency asymptotes of the magnitude Bode plot.

(b) The high- and low-frequency asymptotes comprise the magnitude Bode plot. Over what ranges of frequencies is the asymptotic magnitude Bode plot of \(\mathbf{H}(\omega)\) within 1 percent of the actual value of \(\mathbf{H}(\omega)\)?

ANSWER:

Step 1 of 5

(a)

The magnitude of the given network function is ,

         

 

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