Bode plots are semilog plots of the magnitude (in decibels) and phase (in degrees) of a transfer function versus frequency.
(From Day 26 BODE PLOTS.pdf)
H(ω) has seven different factors that can appear in various combinations in a transfer function.
We did a example in the class.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgT3B8Ijzo_icrE2zPhAN-MTY58mYrYrEwsLZAoWbr_rB5Gpw-c4lJR00-3VxxGYSKlJn14X4oZ0YYEZ4_Ol3lM43vC8llDkyAIU8X1q55V6PGPu8DGsN9-0Dlnb8dbJhFkvxC_LAftHsc/s320/35240.jpg)
By following the summary of Bode plots for the seven factors, we can easily plot the transfer function.
Here is the summary of Bode plots for the seven factors:
Here is another example of how to plot the graph.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvIPj11yyVwzeEaqcP9SeCcnsxT9eRJdoSFTOHVebHQlKm-FKk5DO8D-ZzgvKhuJEjtUs2yrSbfN5YvLFSlUm3_b5hb9xp8SHRGgN6zuyaHzPCSC1DLTn94XAgW1RCv4PJnpdVxXpixdU/s320/35241.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmT1OFcdtgZtGudyS1MRCnzYfCxi_wVwEq5IGTwbyQ0Gtb3VMaa-IKSP3y0dV7gl6g9rY02RsCGergceJo1lBrwdy8WHmZH6muNF0Jax-P_FP6ct3VYZZJMZ_6he8Pr2fc8GSA8HdWs3Q/s320/35242.jpg)
Then, we learned series resonance and parallel resonance.
Resonance is a condition in an RLC circuit in which the capacitive and inductive reactances are equal in magnitude, thereby resulting in a purely resistive impedance.
(From Day 26 BODE PLOTS.pdf)
We introduced a new thing called the quality factor.
The quality factor of a resonant circuit is the ratio of its resonant frequency
to its bandwidth.
The table below shows a summary of the characteristics of the series and parallel resonant circuits:
Summary
We basically practiced how to plot bode plots the entire day, and learned how to determine the transfer function by looking at the bode plot. After a lot of bode plots, we learned resonance which occurs in any circuit that has at least one inductor and one capacitor.
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