Polar Plots Problem 3 Frequency Response Analysis  Summary and Q&A
TL;DR
Learn how to sketch the polar plot of a system with the given open loop transfer function.
Key Insights
 🐻❄️ The polar plot helps in visualizing the frequency response of a system.
 🤣 The magnitude decreases as the frequency increases, indicating a highfrequency rolloff.
 🛀 The phase angle shows the phase shift introduced by the system at different frequencies.
 🐻❄️ The polar plot is useful in analyzing system stability and designing control systems.
 💁 The polar plot provides valuable information about system behavior without complex calculations.
 😥 The points on the plot can be used to determine system stability margins.
 🐻❄️ The angle of the polar plot indicates the phase shift, while the distance from the origin represents the magnitude.
Questions & Answers
Q: What is the first step to sketch the polar plot of a system?
The first step is to replace the variable "s" with "j omega" in the transfer function equation.
Q: How do we calculate the magnitude and phase angle of gj omega?
The magnitude is given by 1 / (1 + omega^2), while the phase angle is 2 * tan inverse of omega.
Q: How do we plot the magnitude and phase angle on polar coordinates?
The magnitude is represented by concentric circles, and the phase angle is represented by radial lines.
Q: How do we obtain the polar plot from the plotted points?
The plotted points are connected to form a curve, which represents the polar plot of the system.
Summary & Key Takeaways

The video explains the steps to sketch the polar plot of a system with the given open loop transfer function.

The first step is to replace the variable "s" with "j omega" in the transfer function equation.

Then, the magnitude and phase angle of gj omega are calculated for various values of omega, and plotted on polar coordinates to obtain the polar plot.