Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 2, Problem 2RQ
To determine
Calculate the resistance of a heater.
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The following circuit is at steady state for t<0. At t=0 sec, the switch is open. Let R₁ =14 ohms, R₂=14
ohms, R3-4 ohms, C₁-1 F, Vx-16 V and Ix-7 A. Find Vc1 (0.8 sec) and voltage across resistor R3 = v(1.4 sec),
as follows:
Vc1(0) in volts=
Vc1(00) in volts=
Rth in ohms=
Vc1(t-0.8 sec) in volts=
v(t-1.4 sec) in volts=
Vx
w
t=0
The relative tolerance for this problem is 10 %.
+
www
R₂
Vit
R3
+
Vc1(t)
C₁
For the circuit shown, the switch opens at t=0 sec. Find i(t=1.5) value as follows.
Let R1-12 ohm, R₂-8 ohm, L=0.6 H, V≤1-10 V and V2-8 V, and determine:
i(0) =
A
A
i(∞0) =
Rth
=
i(1.5 sec)
Ω
A
R₁
L
i(t)
VS2
R2
w
The relative tolerance for this problem is 9 %.
+
V S1
You must have noticed that, when a major appliance is turned on (such as an AC unit, garbage disposal,
etc.), your house lights dim momentarily. This is the effect of the RL circuit formed by the inductance and
resistance of the transmission line and the loads (light bulbs, appliance, etc.) In fact, even a single straight
wire has inductance. The inductance (and the resistance) of a long transmission line can be problematic if
the system is not properly designed.
The voltage on a power transmission line is alternating current but the effect of transmission line can be
simulated by a DC circuit as shown below, where R=0.005 2 /km and L=0.04 H/km representing the
resistance and inductance of the transmission line per km relationship that is with the ration: L-8 R.
In the circuit, Right =160 represents light bulb resistances, R₁ = 7
represents the resistance of a
'major appliance', and the switch indicates when the appliance is turn on.
Alice, a newly hired engineer, needs to determine…
Chapter 2 Solutions
Fundamentals of Electric Circuits
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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. 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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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- For the circuit shown, let Let R₁-3 ohms, R2-7 ohms, C₁-2 F, VX-20 V and Ix-1 A. Calculate the capacitor voltages, as shows, at time t= (-1.3) sec and at t=1.9 sec. In particular find: V(0) = V(∞) = Rth V(t=-1.3 sec) in volts- V(t-1.9 sec) in volts- C1 HH +V(t) = - (V) (V) (S2) (V) 3 (V) Vx +1 R1 t=0 The relative tolerance for this problem is 9 %. R₂arrow_forwardIn the circuit below, the switch moves from position 1 to position 2 at t=0. Select the closest waveform which represents the inductor current: 2 R 2R V₁ t=0 0 t=0 (a) (d) t=0 (b) (e) 0 0 t=0 (c) t=0 요 (f) Note: choices are listed randomly; may not alphabetically ordered. (given during job interview question, with permission) waveform c waveform a O waveform d waveform e waveform b ○ waveform f t=0 Rarrow_forwardLet R1-8 ohms, R₂-5 ohms, L₁-2 H, Vx=10 V, in the circuit shown, to calculate the inductor current at time t= (0.6 sec) and at t= 2 sec, as follows: i(0) = 1(00) - Rth= = i(0.6 sec) = i(2 sec) = R₁ (A) (A) (N) Vx 1=0 The relative tolerance for this problem is 9 %. (A) (A) R2 ell 4₁arrow_forward
- The following circuit is at steady state for t<0. At t=0 sec, the switch opens. Let R₁=102, R₂-12 2, R3=6 2, R4-6, C=0.9 F and V₂-14 V, and find V(t) at t =2.206 sec, as follows: V(0) = (V) V(∞0) = RTh = V(2.206) = (V) (Ω) (V) {To avoid errors, and meet allowed tolerance, carry-out your intermediate numerical values as much as possible than round only the entered values to 3 significant digits} R₁ w V (+ R₂ ww + C EV(t) R3 The relative tolerance for this problem is 10 %. Question Help: Written Example I R4 www 2=0arrow_forwardPM Mon Apr 14 la800803.us.archive.org Chapter 5 Problems 199 5-8 5-9 carry generator of Fig. 5-5. Derive the two-level Boolean expression for the output carry Cs shown in the look-ahead How many unused input combinations are there in a BCD adder? 5-10 Design a combinational circuit that generated the 9's complement of a BCD digit. 5-11 Construct a 4-digit BCD adder-subtractor using four BCD adders, as shown in Fig. 5-6, and four 9's complement circuits from Problem 5-10. Use block diagrams for each compo- nent, showing only inputs and outputs. 5-12 It is necessary to design a decimal adder for two digits represented in the excess-3 code. Show that the correction after adding the two digits with a 4-bit binary adder is as fol- lows: (a) The output carry is equal to the carry from the binary adder. = (b) If the output carry 1, then add 0011. (c) If the output carry = 0, then add 1101. Construct the decimal adder with two 4-bit adders and an inverter. 5-13 Design a combinational circuit…arrow_forwardFor the circuit shown, assume the initial capacitor voltage is V(0-) = -8 V. Then at t=0, the switch closes. Find the time at which Vc(t)-8 V. Let R₁-12 S2, C1-8 F and V₂-16 V The voltage Vc(∞ )= Time-constant T= The time at which Vc(t)-8 V ist = (V) (sec) (sec) + R1 C₁ + Vct) The relative tolerance for this problem is 10 %.arrow_forward
- 13. Find i(t) for t > 0 in the following circuitarrow_forwardCalculate the Capacitor Voltage for t > 0 assuming the switch has been open for long time.arrow_forward14. Find i(t) for t > 0 in the following circuit Note: the current source is only ON for t > 0. So, it would be an open circuit for t < 0arrow_forward
- 10. Find v(t) for t > 0 in the following circuit. Note: the current source is only ON for t > 0. So, it would be an open circuit for t < 0arrow_forward3. Calculate the Capacitor Voltage for the t 0 for the following circuit. 302 292 12 V 4 V 3 F 2arrow_forward12. Find v(t) and i(t) for t > 0 in the following circuit • Note: the current source is only ON for t > 0. So, it would be an open circuit for t < 0 • Note: assume v(0) = 0V and i(0) = 0A.arrow_forward
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