Sketch the magnitude Bode plot for
Sketch the Bode magnitude plots for given transfer function.
Explanation of Solution
Given data:
The transfer function is,
Calculation:
Compare the denominator factor of equation (1) with the standard quadratic equation
For the quadratic factor, the corner frequency is
Substitute
Simplify the above equation as follows:
From the above equation, the corner frequencies
Re-write the transfer function
From equation (2), the magnitude function of
Write the above equation in decibel (dB).
From equation (2), the phase angle is expressed as follows:
Substitute
Substitute
Substitute
Similarly, by substituting various values for
Table 1:
0.1 | 1 | 2 | 10 | 20 | 50 | |
–26.063 | –9.0092 | –6.903 | –4.192 | –3.021 | –12.709 |
The Figure 1 is the magnitude plot of the given transfer function obtained using Table 1.
Conclusion:
Thus, the Bode magnitude plot for given transfer function is sketched.
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Chapter 14 Solutions
Fundamentals of Electric Circuits
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