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 2.2, Problem 1PP
The essential component of a toaster is an electrical element (a resistor) that converts electrical energy to heat energy. How much current drawn by a toaster with resistance 15 Ω at 110 V?
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Three similar coils, connected in star, take a total
power of 1.5 kW, at a power factor of 0.2, from a
three-phase, 400 V, 50 Hz supply. Calculate: (a) the
resistance and inductance of each coil; (b) the line
currents if one of the coils is short-circuited.
(a) Three 20 µF capacitors are star-connected across
a 400 V, 50 Hz, three-phase, three-wire supply.
Calculate the current in each line. (b) If one of the
capacitors is short-circuited, calculate the line cur
rents. (c) If one of the capacitors is open-circuited,
calculate: the line currents and the p.d. across each
of the other two capacitors.
ANS:
1.525 A; 2.64 A, 2.64 A, 4.57 A; 1.32 A, 1.32 A, 0;
210 V
Explain the advantages of three-phase supply for
distribution purposes.
(b) Assuming the relationship between the line and
phase values of currents and voltages, show that
the active power input to a three-phase balanced
load is √3VI cos φ, where V and I are line quantities.
(c) Three similar inductors, each of resistance 10 Ω
and inductance 0.019 H, are delta-connected to a
three-phase, 400 V, 50 Hz sinusoidal supply. Calcu
late: the value of the line current; the power
factor and the active power input to the circuit.
ANS:
59.5 A, 0.858 lag, 35.5 kW
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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