Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Question
Chapter 6, Problem 45P
(a)
To determine
Calculate the energy stored in the system when
(b)
To determine
Calculate the energy stored in the system when
(c)
To determine
Calculate the energy stored in the system when
(d)
To determine
Calculate the energy stored in the system when
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2. A system with unity feedback is shown below. The feed-forward transfer function is G(s), where
5
.
G(S) = (+1) Sketch the root locus for the variations in the values of pi.
(s+P1)s
R(s)
C(s)
G(s)
3. The following closed-loop systems in Fig. 1 and Fig. 2 operate with a damping ratio of 0.707
(=0.707). The system in Fig. 1 does not have a PI controller, while the one in Fig. 2 does.
R(s):
S
Gain
Plant
R(s) +
E(s)
1
C(s)
K
(s+1)(s+2)(s+10)
Fig. 1: Closed-loop system without PI controller
Compensator
Plant
R(s) +
E(s)
K(s+0.1)
S
1
(s+1)(s+2)(s+10)
C(s)
Fig. 2: Closed-loop system with a practical PI controller
a. Please use Matlab to find the intersection point between line and the root locus of the
system in Fig. 1. Then find the K value and one complex closed-loop pole corresponding
to the intersection point. Calculate the steady-state error. Show the Matlab code in your
answer sheet.
b. Please use Matlab to find the intersection point between § line and the root locus of the
system in Fig. 2. Then find the K value and one complex closed-loop pole associated with
the intersection point. Compare the complex closed-loop pole with the one you just found
in task a. Are they very…
1. Please draw the root locus by hand for the following closed-loop system, where G(s) =
s+6
=
S-2
s+8
s-2'
and H(s) = Find the range of K for stability using Method II in Examples 2 and 3 in
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Input
R(s)
Output
C(s)
KG(s)
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Chapter 6 Solutions
Electric Circuits. (11th Edition)
Ch. 6.1 - The current source in the circuit shown generates...Ch. 6.2 - Prob. 2APCh. 6.2 - The current in the capacitor of Assessment Problem...Ch. 6.3 - The initial values of i1 and i2 in the circuit...Ch. 6.3 - Prob. 5APCh. 6.4 - Write a set of mesh-current equations for the...Ch. 6.5 - Consider the magnetically coupled coils described...Ch. 6 - Prob. 1PCh. 6 - The voltage at the terminals of the 200 μH...Ch. 6 - The triangular current pulse shown in Fig. P6.3 is...
Ch. 6 - The current in a 200 mH inductor is
The voltage...Ch. 6 - The current in a 20 mH inductor is known to...Ch. 6 - Assume in Problem 6.5 that the value of the...Ch. 6 - Evaluate the integral
for Example 6.2. Comment on...Ch. 6 - Find the inductor current in the circuit in Fig....Ch. 6 - The current in and the voltage across a 5 H...Ch. 6 - The current in the 2.5 mH inductor in Fig. P6.11...Ch. 6 - Initially there was no energy stored in the 5 H...Ch. 6 - The voltage across a 5 μF capacitor is known to...Ch. 6 - The triangular voltage pulse shown in Fig. P6.15...Ch. 6 - The expressions for voltage, power, and energy...Ch. 6 - A 20µF capacitor is subjected to a voltage pulse...Ch. 6 - The initial voltage on the 0.5 μF capacitor shown...Ch. 6 - The current shown in Fig. P6.20 is applied to a...Ch. 6 - The rectangular-shaped current pulse shown in Fig....Ch. 6 - Use realistic inductor values from Appendix H to...Ch. 6 - For the circuit shown in Fig. P6.24, how many...Ch. 6 - The two parallel inductors in Fig. P6.26 are...Ch. 6 - Derive the equivalent circuit for a series...Ch. 6 - Derive the equivalent circuit for a parallel...Ch. 6 - Use realistic capacitor values from Appendix H to...Ch. 6 - Prob. 30PCh. 6 - The two series-connected capacitors in Fig. P6.31...Ch. 6 - The four capacitors in the circuit in Fig, P6.32...Ch. 6 - For the circuit in Fig. P6.32, calculate
the...Ch. 6 - At t = 0. a series-connected capacitor and...Ch. 6 - The current in the circuit in Fig. P6.35 is known...Ch. 6 - Show that the differential equations derived in...Ch. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Let υg represent the voltage across the current...Ch. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - The self-inductances of two magnetically coupled...Ch. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53P
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