Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Textbook Question
Chapter 3.7, Problem 12P
3.12 Determine a single-value equivalent resistance for the network shown in Fig. 3.27, as seen between the terminals marked (a) a and b, with c unconnected; (b) a and c, with b unconnected
FIGURE 3.27
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Fig 3.0 shows a circuitcontaining two sources of e.m.f., each with their internal resistance. Determine the current in eachbranch of the network by using the superposition
mponent of nódal
ch element. There is no way of knowing the current through
wever, KCL must be satisfied at a sunernode like any other node. Hence a tde
spernode in Fig. 3.5,
i + i4 = i2 + i3
(3.11a)
v1 - v2
v1 - v3
v2 – 0
v3 - 0
(3.11b)
6.
To apply Kirchhoff's voltage law to the supernode in Fig. 3.4 we redraw the circuit as
shown in Fig. 3.5. Going around the loop in the clockwise»direction gives
-V2 + 5 + v3 = 0=v2 – V3 = 5
(3.12)
From Eqs. (3.10), (3.11b), and (3.12), we obtain the node volltages.
5V
د مُسق ک من ؤ
Figure 3.5 Applying KVL to a supernode.
Example 3.2: For the circuit shown in Fig. 3.6, find the node voltages.
Solution:
The supernode contains the 2-V source, nodes 1 and
10 2
www
2, and the 10-2 resistor. Applying KCL to the
2 V
supernode as shown in Fig. 3.7(a) gives
2.
12
2 = i + iz +7
7 A
Expressing in and iz in terms of the node voltages
2 A
22
v1 - 0
v2 - 0
2 =
7
4
or
(3.2.1)
V2 =-20 - 2vVI
Figure 3.6 For Example 3.2.
ESTHRER: ALI SHARAAN
METHORS OF ANALYSIS…
201
1st Stage: Fundamentals of Electrical Engineering
Chapter 3- Kirchhoff's laws
2015-2016
3.3 Homework:
1- Use KCL to obtain currents i, iz, and i, in the circuit shown in below figure.
12 mA
8 mA
13
2- Find il, i2, and i3 in the circuit in Figure below,
1A
2A
3A
10 A
3- Determine v1 through v4 in the circuit in figure shown below.
12 V
- 6V
10 V
4- In the circuit in following figure, obtain v1, v2, and v3.
15 V
10 V
12
25 V
20 V
University of Thi-Qar/Department of Electrical and Electronic Engineering-Lectures are prepared by M.Sc. Ali Kareem
"Fundamentals of Electric Circuits", by: Charles K. Alexander and Matthew N. 0. Sadiku.
Page 6
Chapter 3 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 3.2 - 3.1 (a) Count the number of branches and nodes in...Ch. 3.3 - Determine ix and vx in the circuit of Fig. 3.7....Ch. 3.3 - For the circuit of Fig. 3.9, if vR1=1V, determine...Ch. 3.3 - Determine vx in the circuit of Fig. 3.11.Ch. 3.4 - In the circuit of Fig. 3.12b, vs1 = 120 V, vs2 =...Ch. 3.4 - 3.6 In the circuit of Fig. 3.14, find the power...Ch. 3.5 - Determine v in the circuit of Fig. 3.16.Ch. 3.5 - For the single-node-pair circuit of Fig. 3.18,...Ch. 3.6 - Determine the current i in the circuit of Fig....Ch. 3.6 - Determine the voltage v in the circuit of Fig....
Ch. 3.6 - Determine whether the circuit of Fig. 3.25...Ch. 3.7 - 3.12 Determine a single-value equivalent...Ch. 3.7 - 3.13 Determine i in the circuit of Fig. 3.29....Ch. 3.7 - Determine v in the circuit of Fig. 3.31 by first...Ch. 3.7 - 3.15 For the circuit of Fig. 3.33, calculate the...Ch. 3.8 - 3.16 Use voltage division to determine vx in the...Ch. 3.8 - In the circuit of Fig. 3.40, use resistance...Ch. 3 - Referring to the circuit depicted in Fig. 3.45,...Ch. 3 - Referring to the circuit depicted in Fig. 3.46,...Ch. 3 - For the circuit of Fig. 3.47: (a) Count the number...Ch. 3 - For the circuit of Fig. 3.47: (a) Count the number...Ch. 3 - Refer to the circuit of Fig. 3.48, and answer the...Ch. 3 - A local restaurant has a neon sign constructed...Ch. 3 - Referring to the single-node diagram of Fig. 3.50,...Ch. 3 - Determine the current labeled I in each of the...Ch. 3 - In the circuit shown in Fig. 3.52, the resistor...Ch. 3 - The circuit of Fig. 3.53 represents a system...Ch. 3 - In the circuit depicted in Fig. 3.54, ix is...Ch. 3 - For the circuit of Fig. 3.55 (which employs a...Ch. 3 - Determine the current labeled I3 in the circuit of...Ch. 3 - Study the circuit depicted in Fig. 3.57, and...Ch. 3 - Prob. 15ECh. 3 - For the circuit of Fig. 3.58: (a) Determine the...Ch. 3 - For each of the circuits in Fig. 3.59, determine...Ch. 3 - Use KVL to obtain a numerical value for the...Ch. 3 - Prob. 19ECh. 3 - In the circuit of Fig. 3.55, calculate the voltage...Ch. 3 - Determine the value of vx as labeled in the...Ch. 3 - Consider the simple circuit shown in Fig. 3.63....Ch. 3 - (a) Determine a numerical value for each current...Ch. 3 - The circuit shown in Fig. 3.65 includes a device...Ch. 3 - The circuit of Fig. 3.12b is constructed with the...Ch. 3 - Obtain a numerical value for the power absorbed by...Ch. 3 - Compute the power absorbed by each element of the...Ch. 3 - Compute the power absorbed by each element in the...Ch. 3 - Kirchhoffs laws apply whether or not Ohms law...Ch. 3 - Referring to the circuit of Fig. 3.70, (a)...Ch. 3 - Determine a value for the voltage v as labeled in...Ch. 3 - Referring to the circuit depicted in Fig. 3.72,...Ch. 3 - Determine the voltage v as labeled in Fig. 3.73,...Ch. 3 - Although drawn so that it may not appear obvious...Ch. 3 - Determine the numerical value for veq in Fig....Ch. 3 - Determine the numerical value for ieq in Fig....Ch. 3 - For the circuit presented in Fig. 3.76. determine...Ch. 3 - Determine the value of v1 required to obtain a...Ch. 3 - (a) For the circuit of Fig. 3.78, determine the...Ch. 3 - What value of IS in the circuit of Fig. 3.79 will...Ch. 3 - (a) Determine the values for IX and VY in the...Ch. 3 - Determine the equivalent resistance of each of the...Ch. 3 - For each network depicted in Fig. 3.82, determine...Ch. 3 - (a) Simplify the circuit of Fig. 3.83 as much as...Ch. 3 - (a) Simplify the circuit of Fig. 3.84, using...Ch. 3 - Making appropriate use of resistor combination...Ch. 3 - Calculate the voltage labeled vx in the circuit of...Ch. 3 - Determine the power absorbed by the 15 resistor...Ch. 3 - Calculate the equivalent resistance Req of the...Ch. 3 - Show how to combine four 100 resistors to obtain...Ch. 3 - Prob. 51ECh. 3 - Prob. 52ECh. 3 - Prob. 53ECh. 3 - Prob. 54ECh. 3 - Prob. 55ECh. 3 - Prob. 56ECh. 3 - Prob. 57ECh. 3 - Prob. 58ECh. 3 - Prob. 59ECh. 3 - Prob. 60ECh. 3 - With regard to the circuit shown in Fig. 3.98,...Ch. 3 - Delete the leftmost 10 resistor in the circuit of...Ch. 3 - Consider the seven-element circuit depicted in...
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