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EBK ELECTRIC CIRCUITS
10th Edition
ISBN: 8220100801792
Author: Riedel
Publisher: YUZU
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Question
Chapter 11, Problem 32P
To determine
Calculate the impedance of the load.
Expert Solution & Answer
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Introduction
The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2
states will be used, based on the number of the energy - storing elements of the circuit, the
capacitor and the inductor.
u(t)
+
ΙΩ
www
13
F
5 Ω it (t)
www
vc(t) 1 H
Figure 1: LCR circuit
The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage
across the capacitor, vc(t).
Questions
1. Choice of system states:
Choose appropriate signals for the 2 states of the
system.
x₁(t) = i₁(t)
x₂ (t) =
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
Chapter 11 Solutions
EBK ELECTRIC CIRCUITS
Ch. 11.3 - The voltage from A to N in a balanced three-phase...Ch. 11.3 - Prob. 2APCh. 11.4 - Prob. 4APCh. 11.4 - Prob. 5APCh. 11.4 - Prob. 6APCh. 11.4 - Prob. 7APCh. 11.5 - Prob. 8APCh. 11.5 - Prob. 9APCh. 11 - Prob. 1PCh. 11 - Prob. 3P
Ch. 11 - Prob. 4PCh. 11 - Repeat Problem 11.4 but assume that the...Ch. 11 - Prob. 6PCh. 11 - Find I0 in the circuit in Fig. P11.7.
Find...Ch. 11 - Find the rms value of Io in the unbalanced...Ch. 11 - The time-domain expressions for three...Ch. 11 - Prob. 10PCh. 11 - The magnitude of the line voltage at the terminals...Ch. 11 - A balanced Δ-connected load has an impedance of...Ch. 11 - A balanced, three-phase circuit is characterized...Ch. 11 - Prob. 15PCh. 11 - In a balanced three-phase system, the source is a...Ch. 11 - Prob. 17PCh. 11 - The impedance Z in the balanced three-phase...Ch. 11 - For the circuit shown in Fig. P11.20, find
the...Ch. 11 - A balanced three-phase Δ-connected source is shown...Ch. 11 - Prob. 22PCh. 11 - Fine the rms magnitude and the phase angle of ICA...Ch. 11 - Prob. 24PCh. 11 - Prob. 25PCh. 11 - The line-to-neutral voltage at the terminals of...Ch. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Calculate the complex power in each phase of the...Ch. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Three balanced three-phase loads are connected in...Ch. 11 - Prob. 37PCh. 11 - Prob. 38PCh. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - Prob. 44PCh. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - Prob. 47PCh. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - Find the reading of each wattmeter in the circuit...Ch. 11 - Prob. 53PCh. 11 - Prob. 54PCh. 11 - Prob. 55PCh. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Assume in Problem 11.59 that when the load drops...
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