ein(t) + R ww L m I Figure 1: Series RLC circuit. C

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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
Transcribed Image Text:ein(t) + R ww L m I Figure 1: Series RLC circuit. C
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