1. (10 pts) Calculate the magnitude and phase of \begin{equation} G(s) = \frac{1}{s + 10} \end{equation}by hand for $\omega = 1,5,10,50$ and $100$ rad/sec.
Added by Joseph L.
Close
Step 1
For w = 1 rad/sec: G(jw) = j(1) + 10 = 10 + j Magnitude = sqrt(10^2 + 1^2) = sqrt(101) ≈ 10.05 For w = 5 rad/sec: G(jw) = j(5) + 10 = 10 + 5j Magnitude = sqrt(10^2 + 5^2) = sqrt(125) ≈ 11.18 For w = 10 rad/sec: G(jw) = j(10) + 10 = 10 + 10j Magnitude = Show more…
Show all steps
Your feedback will help us improve your experience
Anand Jangid and 55 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Construct the Bode magnitude and phase plots for \[ H(s)=\frac{40(s+1)}{(s+2)(s+10)}, \quad s=j \omega \]
Sketch Bode magnitude and phase plots for $$N(s)=\frac{100\left(s^{2}+s+1\right)}{(s+1)(s+10)}, \quad s=j \omega$$ Construct the straight-line approximate plots and the exact plots.
Find the magnitudes and phases of these complex quantities.
Adi S.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD