Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 6, Problem 37P
a.
To determine
Verify the required expression of the inductance
b.
To determine
Verify the required expression of the inductance
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2. Using the approximate method, hand sketch the Bode plot for the following transfer
functions.
a) H(s) = 10
b) H(s) (s+1)
c) H(s):
=
1
=
+1
100
1000 (s+1)
10(s+1)
d) H(s) =
(s+100)
(180+1)
Q4: Write VHDL code to implement the finite-state machine described by the state
Diagram in Fig. 1.
Fig. 1
1. Consider the following feedback system.
Bode plot of G(s) is shown below.
Phase (deg)
Magnitude (dB)
-50
-100
-150
-200
0
-90
-180
-270
101
System: sys
Frequency (rad/s): 0.117
Magnitude (dB): -74
10°
K
G(s)
Bode Diagram
System: sys
Frequency (rad/s): 36.8
Magnitude (dB): -99.7
System: sys
Frequency (rad/s): 20
Magnitude (dB): -89.9
System: sys
Frequency (rad/s): 20
Phase (deg): -143
System: sys
Frequency (rad/s): 36.8
Phase (deg): -180
101
Frequency (rad/s)
a) Determine the range of K for which the closed-loop system is stable.
102
10³
b) If we want the gain margin to be exactly 50 dB, what is value for K we should
choose?
c) If we want the phase margin to be exactly 37°, what is value of K we should choose?
What will be the corresponding rise time (T) for step-input?
d) If we want steady-state error of step input to be 0.6, what is value of K we should
choose?
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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