ein(t) + R ww L m I Figure 1: Series RLC circuit. C
Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN:9781133612315
Author:Jack Erjavec, Rob Thompson
Publisher:Jack Erjavec, Rob Thompson
Chapter22: Basics Of Electronics And Computer Systems
Section: Chapter Questions
Problem 15RQ: What is the name of the module that allows the different serial buses in a multiplexed system to...
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Question
Figure 1 shows an electrical system comprising a series RLC circuit and input voltage
source ein(t).
(a) Derive the input-output equation with output y = I and input u = ein(t).
(b) Using the derived input-output equation, drive the system transfer function G(s)
that relates output to input. Use the following numerical values for the electrical system
parameters: resistance R = 2Ω, inductance L = 0.25H, and capacitance C = 0.4F.
(c) Using the derived transfer function, derive the time-domain ordinary differential
equation for the input-output equation of this electrical system.
(d) Draw the complete block diagram of this series RLC circuit using the derived transfer
function.
![ein(t)
+
R
ww
L
m
I
Figure 1: Series RLC circuit.
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb463ed35-fee9-4542-9b85-f3f6ed528f6b%2F215af921-8f02-43a3-bdee-3fe07404e114%2Fuc7lcmj_processed.png&w=3840&q=75)
Transcribed Image Text:ein(t)
+
R
ww
L
m
I
Figure 1: Series RLC circuit.
C
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