Mastering Engineering with Pearson eText -- Standalone Access Card -- for Electrical Engineering: Principles & Applications
7th Edition
ISBN: 9780134486970
Author: Allan R. Hambley
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 1.23P
The terminals of a certain battery are labeled a and b. The battery voltage is
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In the circuit shown, let Vs-9, R₁-8, R2-2, and R3-4. Use Nodal analysis to determine the current lo. In
particular find:
V2=
10=
A
The relative tolerance for this problem is 5 %.
R₁
V₁
+
ww
R₂
Vs
V₂
21
x
R3
1. Choose all nodes that must be included, if any, to construct the supernode for Nodal analysis.
OV1, V3
OV1, V2
○ V2, V3
OV1, V2, V4
OV1, V2, V3
O V2, V3, V4
2. Write KCL equation (Nodal equation) at super-node. Write your expression in terms of node voltages
V1, V2, V3 and V4 and of the form (G11 V1+G12 V2+G13 V3+G14 V4 = 11), then
enter the corresponding values:
At super-node KCL:
1/Q
G11
1/0
G12
1/Ω
G13
1/Q
G14
A
3. Use the above equation, the circuit and and super-node inner expression to calculate V3 and then lo :
V3=
V
10 =
R3
Vst
+
A
V₁
+
VS2
V₂
V3
w
W
R₁
R₂
R4
ww
R5
V4
V$3
Enter the matrix values (numerical) to solve for voltages at nodes v1, and v2, for the circuit shown, using
Nodal equations. In the matrix, row 1, and row 2, correspond to node v1, and node v2 current
expressions, respectively. Let Is1=14, Is2=7, R₁=5, R₂-8, R3=2, and R4-5.
[G11 G12] [Vi₁
The matrix values are shown here:
=
G21 G22 [V2]
[41]
[12]
{Hint: As discussed in class and to avoid sign errors, assume nodal currents are locally defined at each
node (leaving) and use node labeling as indicated in the circuit. }
The relative tolerance for this problem is 5%.
VI
R2
ww
Isl
12
NODE v1
G11
G12
RI
1/Q
1/0
A
4=
NODE v2
G21-
1/Q
G22
1/0
12
W
A
===
www
R3
R4
www
Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:
v1 =
V
v2=
V
Is2
Chapter 1 Solutions
Mastering Engineering with Pearson eText -- Standalone Access Card -- for Electrical Engineering: Principles & Applications
Ch. 1 - Broadly speaking, what are the two main objectives...Ch. 1 - Prob. 1.2PCh. 1 - List eight subdivisions of electrical engineering.Ch. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - In the fluid-flow analogy for electrical circuits,...Ch. 1 - The charge of an electron is 1.601019C . A current...Ch. 1 - The ends of a length of wire are labeled a and b....Ch. 1 - The circuit element shown in Figure P1.9 has v=12V...Ch. 1 - Prob. 1.10P
Ch. 1 - The net charge through a cross section of a...Ch. 1 - The current through a particular circuit element...Ch. 1 - The current through a given circuit element is...Ch. 1 - The net charge through a cross section of a...Ch. 1 - A copper wire has a diameter of 2.05 mm and...Ch. 1 - A certain lead acid storage battery has a mass of...Ch. 1 - A circuit element having terminals a and b has...Ch. 1 - An electron moves through a voltage of 9 V from...Ch. 1 - A typical “deep-cycle” battery (used for electric...Ch. 1 - Define the term passive reference configuration....Ch. 1 - Compute the power for each element shown in Figure...Ch. 1 - The terminals of an electrical device are labeled...Ch. 1 - The terminals of a certain battery are labeled a...Ch. 1 - The element shown in Figure P1.24 I has v(t)=10V...Ch. 1 - The current and voltage of an electrical device...Ch. 1 - Suppose that the cost of electrical energy is...Ch. 1 - Figure P1.27 shows an ammeter (AM) and voltmeter...Ch. 1 - Repeat Problem P1.27 with the meters connected as...Ch. 1 - A certain type of D-cell battery that costs $0.50...Ch. 1 - The electronics aboard a certain sailboat consume...Ch. 1 - What s a node in an electrical circuit? Identify...Ch. 1 - State Kirchhoff’s current law.Ch. 1 - Two electrical elements are connected in series....Ch. 1 - Suppose that in the fluid-flow analogy for an...Ch. 1 - Identify elements that are in series in the...Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KCL to find the values of ia, ic , and id for...Ch. 1 - Find the values of the other currents in Figure...Ch. 1 - Prob. 1.39PCh. 1 - State Kirchhoff’s voltage law.Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KVL to solve for the voltages va , vb, and vc...Ch. 1 - Solve for the other voltages shown in Figure P1.43...Ch. 1 - Use KVL and KCL to solve for the labeled currents...Ch. 1 - Identify elements that are in parallel in Figure...Ch. 1 - Points a, b, c, and d appear in a certain circuit....Ch. 1 - In your own words, define an ideal conductor; an...Ch. 1 - Name four types of dependent sources and give the...Ch. 1 - State Ohm’s law, including references.Ch. 1 - Draw a circuit that contains a 5 resistance, a...Ch. 1 - Repeat Problem P1.50, placing all three elements...Ch. 1 - The resistance of a certain copper wire is 0.5. ....Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - A power of 100 W is delivered to a certain...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - A certain wire has a resistance of 0.5 . Find the...Ch. 1 - Plot i versus v to scale for each of the parts of...Ch. 1 - Which of the following are self-contradictory...Ch. 1 - Consider the circuit shown in Figure P1.61. Find...Ch. 1 - Consider the circuit shown in Figure P1.62. Find...Ch. 1 - Consider the circuit shown in Figure P1.63. Find...Ch. 1 - Consider the circuit shown in Figure P1.64. Use...Ch. 1 - Determine the value of Ix in the circuit shown in...Ch. 1 - Consider the circuit shown in Figure P1.66. Figure...Ch. 1 - Prob. 1.67PCh. 1 - Consider the circuit shown in Figure P1.68. Figure...Ch. 1 - Solve for the currents shown in Figure P1.69....Ch. 1 - The circuit shown in Figure P1.70 contains a...Ch. 1 - Determine the value of vx and iy in the circuit...Ch. 1 - A 10-V independent voltage source is in series...Ch. 1 - A 10-V independent voltage source is in parallel...Ch. 1 - Consider the circuit shown in Figure P1.74. Figure...Ch. 1 - The circuit shown in Figure P1.75 contains a...Ch. 1 - For the circuit shown in Figure P1.76, solve for...Ch. 1 - For the circuit shown in Figure P1.77, solve for...Ch. 1 - Match each entry in Table T1.1(a) with the best...Ch. 1 - Prob. 1.2PTCh. 1 - The circuit of Figure T1.3 has I1=3A , I2=1A ,...Ch. 1 - The circuit shown in Figure T1.4 has Vs=12V ,...Ch. 1 - We are given Vs=15V , R=10 , and =0.3S for the...Ch. 1 - We are given i4=2A for the circuit of Figure T1.6....
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