Electric Circuits, Student Value Edition Format: Unbound (saleable)
11th Edition
ISBN: 9780134747170
Author: NILSSON, James W.^riedel, Susan
Publisher: Prentice Hall
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Chapter 10, Problem 48P
a)
To determine
Calculate the value of capacitance.
b)
To determine
Calculate the percentage increase of magnitude, to maintain
c)
To determine
Calculate the percentage increase in line loss, when the capacitor is removed from the circuit.
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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} =
A single-core cable working on 66 kV has a conductor diameter of 2 cm and the sheath of inside diameter
is 10 cm. If two metallic intersheaths of diameters 5 cm, 8 cm respectively are used for grading the cable.. If
the maximum electric stress is the same for each layers.
1- Find the voltage of each metallic intersheaths.
2- Find the thickness of each layers.
Chapter 10 Solutions
Electric Circuits, Student Value Edition Format: Unbound (saleable)
Ch. 10.2 - For each of the following sets of voltage and...Ch. 10.2 - Compute the power factor and the reactive factor...Ch. 10.3 - The periodic triangular current in Example 9.4,...Ch. 10.4 - A load consisting of a 1.35 kΩ resistor in...Ch. 10.5 - The voltage at the terminals of a load is 250...Ch. 10.5 - Find the phasor voltage Vs in the circuit shown if...Ch. 10.6 - Find the average power delivered to the 100Ω...Ch. 10.6 - Find the average power delivered to the 400Ω...Ch. 10.6 - Prob. 11APCh. 10.6 - Solve Example 10.12 if the voltage source is...
Ch. 10 - Prob. 1PCh. 10 - A college student wakes up on a warm day. The...Ch. 10 - Show that the maximum value of the instantaneous...Ch. 10 - A load consisting of a 480 Ω resistor in parallel...Ch. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Find the average power delivered by the ideal...Ch. 10 - The op amp in the circuit shown in Fig. P10.8 is...Ch. 10 - Find the average power dissipated in the 40 Ω...Ch. 10 - The load impedance in Fig. P10.10 absorbs 2.5 kW...Ch. 10 - Find the rms value of the periodic current shown...Ch. 10 - The periodic current shown in Fig. P10.11...Ch. 10 - Find the rms value of the periodic voltage shown...Ch. 10 - Find the rms value of the periodic voltage shown...Ch. 10 - A personal computer with a monitor and keyboard...Ch. 10 - Prob. 16PCh. 10 - Find VL (rms) and θ for the circuit in Fig. P10.17...Ch. 10 - Find the average power, the reactive power, and...Ch. 10 - The voltage Vg in the frequency-domain circuit...Ch. 10 - Prob. 20PCh. 10 - The two loads shown in Fig. P10.21 can be...Ch. 10 - Two 125 V(rms) loads are connected in parallel....Ch. 10 - Prob. 23PCh. 10 - Three loads are connected in parallel across a 250...Ch. 10 - The three loads in Problem 10.24 are fed from a...Ch. 10 - Prob. 26PCh. 10 - The three loads in the circuit in Fig. P10.27 can...Ch. 10 - The three loads in the circuit seen in Fig. P10.28...Ch. 10 - Suppose the circuit shown in Fig. P10.28...Ch. 10 - The three loads in the circuit seen in Fig. P10.30...Ch. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - A factory has an electrical load of 1600 kW at a...Ch. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - Find the average power delivered to the 8 Ω...Ch. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - The variable resistor in the circuit shown in Fig....Ch. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - The values of the parameters in the circuit shown...Ch. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 59PCh. 10 - The ideal transformer connected to the 5 kΩ load...Ch. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - Prob. 63PCh. 10 - Prob. 66PCh. 10 - Prob. 67PCh. 10 - Prob. 68PCh. 10 - Prob. 69PCh. 10 - Prob. 70PCh. 10 - Prob. 71P
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