Answered: ein(t) + R ww L m I Figure 1: Series…

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 e_in(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.