Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2, Problem 8P
Design a problem, complete with a solution, to help other students better understand Kirchhoff’s Current Law. Design the problem by specifying values of ia, ib, and ic, shown in Fig. 2.72, and asking them to solve for values of i1, i2, and i3. Be careful to specify realistic currents.
Figure 2.72
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C) Figure Q2(c) shows a simple electronic circuit. A recently graduated engineering student from eau has been tasked by his Senior Engineer to determine the equivalent circuit between Terminal A and B. Please help him to analyze and find the equivalent resistance using delta-wye transformation
Use the following constants if necessary.
Coulomb constant, k = 8.987 x 10° N - m² /C2. Vacuum permitivity, co = 8.854 x 10 12 F/m. Magnetic Permeability of vacuum,
Ho = 12.566370614356 x 10-' H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10–19 C. Mass of one electron,
me = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb.
a
R5
R3
e
R9
R,
R6
R8
Ry
K
Suppose you have the following circuit diagram. Here R1 =1.1 kN, R2 = 3.3 kN, R3 = 2.2 kN, R4 = 22 kN, R5 = 22 kN, Rg = 11 kN, R7 = 11 kN,
Rg = 11 kN, R9 = 1.1 kN are the resistances on the circuit where kN stands for kilo ohm. The electromotive forces of the batteries are & = 5 volts and
Ez = 3 volts.
a) Calculate Rik. the resistance equivalent to R5, Re, R7, Rg and R9 between the terminals b and k.
Value of Rhk
Give your answer to at least two significance digits.
Ω
b) Calculate the current through R1.
(Note that the a,b,c,d are branches)1. Measure and record the potential difference for the following branches. Be mindful of the algebraic sign.
a-b
a-c
b-c
c-d
a-d
b-d
And using the measured potential difference values, compute for the algebraic sum of the potential difference for the following electrical loops. Indicate the equation with values as well.
abca
abdca
acda
abcda
acbda
Chapter 2 Solutions
Fundamentals of Electric Circuits
Ch. 2.2 - The essential component of a toaster is an...Ch. 2.2 - For the circuit shown in Fig. 2.9, calculate the...Ch. 2.2 - A resistor absorbs an instantaneous power of 30...Ch. 2.3 - How many branches and nodes does the circuit in...Ch. 2.4 - Find v1 and v2 in the circuit of Fig. 2.22. Figure...Ch. 2.4 - Find vx and vo in the circuit of Fig. 2.24. Figure...Ch. 2.4 - Find vo and io in the circuit of Fig. 2.26. Figure...Ch. 2.4 - Find the current and voltages in the circuit shown...Ch. 2.6 - By combining the resistors in Fig.2.36, find Req....Ch. 2.6 - Find Rab for the circuit in Fig.2.39. Figure 2.39...
Ch. 2.6 - Calculate Geq in the circuit of Fig.2.41. Figure...Ch. 2.6 - Find v1 and v2 in the circuit shown in Fig. 2.43....Ch. 2.7 - Transform the wye network in Fig. 2.51 to a delta...Ch. 2.7 - For the bridge network in Fig. 2.54, find Rab and...Ch. 2.8 - Refer to Fig. 2.55 and assume there are six light...Ch. 2.8 - Following the ammeter setup of Fig. 2.61. design...Ch. 2 - The reciprocal of resistance is: (a) voltage (b)...Ch. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - The maximum current that a 2W, 80 k resistor can...Ch. 2 - Prob. 5RQCh. 2 - The current I in the circuit of Fig. 2.63 is: (a)...Ch. 2 - The current I0 of Fig. 2.64 is: (a) 4 A (b) 2 A...Ch. 2 - In the circuit in Fig. 2.65, V is: (a) 30 V (b) 14...Ch. 2 - Which of the circuit in Fig. 2.66 will give you...Ch. 2 - In the circuit of Fig. 2.67, a decrease in R3...Ch. 2 - Design a problem, complete with a solution, to...Ch. 2 - Find the hot resistance of a light bulb rated 60...Ch. 2 - A bar of silicon is 4 cm long with a circular...Ch. 2 - (a) Calculate current i in Fig. 2.68 when the...Ch. 2 - For the network graph in Fig. 2.69. find the...Ch. 2 - In the network graph shown in Fig. 2.70, determine...Ch. 2 - Determine the number of branches and nodes in the...Ch. 2 - Design a problem, complete with a solution, to...Ch. 2 - Find i1, i2, and i3 in Fig. 2.73. Figure 2.73 For...Ch. 2 - Determine i1 and i2 in the circuit of Fig. 2.74....Ch. 2 - In the circuit of Fig. 2.75, calculate V1 and V2....Ch. 2 - In the circuit in Fig. 2.76, obtain v1, v2, and...Ch. 2 - For the circuit in Fig. 2.77, use KCL to find the...Ch. 2 - Given the circuit in Fig. 2.78, use KVL to find...Ch. 2 - Calculate v and ix in the circuit of Fig. 2.79....Ch. 2 - Determine Vo in the circuit in Fig. 2.80. Figure...Ch. 2 - Obtain v1 through v3 in the circuit of Fig. 2.81....Ch. 2 - Find I and V in the circuit of Fig. 2.82. Figure...Ch. 2 - From the circuit in Fig. 2.83, find I, the power...Ch. 2 - Determine io in the circuit of Fig. 2.84. Figure...Ch. 2 - Find Vx in the circuit of Fig. 2.85. Figure 2.85...Ch. 2 - Find Vo in the circuit in Fig. 2.86 and the power...Ch. 2 - In the circuit shown in Fig. 2.87, determine Vx...Ch. 2 - For the circuit in Fig. 2.88, find Vo/Vs in terms...Ch. 2 - For the network in Fig. 2.89, find the current,...Ch. 2 - For the circuit in Fig. 2.90, io = 3 A. Calculate...Ch. 2 - Calculate Io in the circuit of Fig. 2.91. Figure...Ch. 2 - Design a problem, using Fig. 2.92, to help other...Ch. 2 - All resistors (R) in Fig. 2.93 are 10 each. Find...Ch. 2 - For the circuit in Fig. 2.95, determine i1 to i5....Ch. 2 - Find i1 through i4 in the circuit in Fig. 2.96....Ch. 2 - Obtain v and i in the circuit of Fig. 2.97. Figure...Ch. 2 - Using series/parallel resistance combination, find...Ch. 2 - Calculate Vo and Io in the circuit of Fig. 2.99....Ch. 2 - Find i and Vo in the circuit of Fig. 2.100. Figure...Ch. 2 - Given the circuit in Fig. 2.101 and that the...Ch. 2 - Find Req and io in the circuit of Fig. 2.102....Ch. 2 - Evaluate Req looking into each set of terminals...Ch. 2 - For the ladder network in Fig. 2.104, find I and...Ch. 2 - If Req = 50 in the circuit of Fig. 2.105, find R....Ch. 2 - Reduce each of the circuits in Fig. 2.106 to a...Ch. 2 - Calculate the equivalent resistance Rab at...Ch. 2 - For the circuits in Fig. 2.108, obtain the...Ch. 2 - Find the equivalent resistance at terminals a-b of...Ch. 2 - Find I in the circuit of Fig. 2.110. Figure 2.110Ch. 2 - Find the equivalent resistance Rab in the circuit...Ch. 2 - Convert the circuits in Fig. 2.112 from Y to ....Ch. 2 - Transform the circuits in Fig. 2.113 from to Y....Ch. 2 - Design a problem to help other students better...Ch. 2 - Obtain the equivalent resistance at the terminals...Ch. 2 - For the circuit shown in Fig. 2.116, find the...Ch. 2 - Obtain the equivalent resistance Rab in each of...Ch. 2 - Consider the circuit in Fig. 2.118. Find the...Ch. 2 - Calculate I0 in the circuit of Fig. 2.119. Figure...Ch. 2 - Determine V in the circuit of Fig. 2.120. Figure...Ch. 2 - Find Req and I in the circuit of Fig. 2.121....Ch. 2 - The 150 W tight bulb in Fig. 2.122 is rated at 110...Ch. 2 - If the three bulbs of Prob. 2.59 are connected in...Ch. 2 - As a design engineer, you are asked to design a...Ch. 2 - Prob. 62PCh. 2 - If an ammeter with an internal resistance of 100 ...Ch. 2 - The potentiometer (adjustable resistor) Rx in Fig....Ch. 2 - Design a circuit that uses a dArsonval meter (with...Ch. 2 - A 20-k/V voltmeter reads 10 V full scale. (a) What...Ch. 2 - (a) Obtain the voltage Vo in the circuit of Fig....Ch. 2 - (a) Find the current I in the circuit of Fig....Ch. 2 - A voltmeter used to measure Vo in the circuit in...Ch. 2 - (a) Consider the Wheatstone bridge shown in Fig....Ch. 2 - Figure 2.131 represents a model of a solar...Ch. 2 - Find Vo in the two-way power divider circuit in...Ch. 2 - An ammeter model consists of an ideal ammeter in...Ch. 2 - The circuit in Fig. 2.134 is to control the speed...Ch. 2 - Find Rab in the four-way power divider circuit in...Ch. 2 - Repeat Prob. 2.75 for the eight-way divider shown...Ch. 2 - Suppose your circuit laboratory has the following...Ch. 2 - In the circuit in Fig. 2.137, the wiper divides...Ch. 2 - Prob. 79CPCh. 2 - A loudspeaker is connected to an amplifier as...Ch. 2 - For a specific application, the circuit shown in...Ch. 2 - The pin diagram of a resistance array is shown in...Ch. 2 - Two delicate devices are rated as shown in Fig....
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