Starting with the differential equation of an RL circuit, calculate: (a) The frequency response of system (G(f) = G(s)|s=j2πf ). Consider the input to be the applied voltage Vs(t) and the output to be the the voltage across the inductor VL(t)). (b) For R = L = 1, Calculate and sketch the magnitude of the frequency response |G(f)|. Show explicitly the magnitude values for f = 0, f = 1f = ∞. (c) For R = L = 1, Calculate and sketch the phase of the frequency response ∠ {G(f)}. Show explicitly the magnitude values for f = 0, f = 1f = ∞.
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
Starting with the differential equation of an RL circuit, calculate:
(a) The frequency response of system (G(f) = G(s)|s=j2πf ). Consider
the input to be the applied voltage Vs(t) and the output to be the
the voltage across the inductor VL(t)).
(b) For R = L = 1, Calculate and sketch the magnitude of the frequency
response |G(f)|. Show explicitly the magnitude values for f = 0, f =
1f = ∞.
(c) For R = L = 1, Calculate and sketch the phase of the frequency
response ∠ {G(f)}. Show explicitly the magnitude values for f =
0, f = 1f = ∞.
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
![Electric Circuits. (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
![Engineering Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)