Connect 2 Semester Access Card for Fundamentals of Electric Circuits
6th Edition
ISBN: 9781259893674
Author: Charles Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 9, Problem 4RQ
If v1 = 30 sin(ωt + 10°) and v2 = 20 sin(ωt + 50°), which of these statements are true?
- (a) v1 leads v2
- (b) v2 leads v1
- (c) v2 lags v1
- (d) v1 lags v2
- (e) v1 and v2 are in phase
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Suppose that v1(t)=100 cos(ωt) and v2(t)=100 sin(ωt). Use phasors to reduce the sum vs(t) = v1(t) + v2(t) to a single term of the form Vm cos(ωt+θ). Draw a phasor diagram, showing V1, V2 and Vs .State the phase relationships between each pair of these phasors.
Given the current i1(t) = 10 sin (20t), the corresponding phasor equivalent I1 is ?
Given the voltage υ(t) = 120 cos (314t + π/4) V, determine the frequency ofthe voltage in Hertz and the phase angle in degrees.
2- Three branch currents in a network are known to bei1(t) = 2 sin (377t + 45°) Ai2(t) = 0.5 cos (377t + 10°) Ai3(t) = - 0.25 sin (377t + 60°) A
Determine the phase angles by whicha) i1(t) leads i2(t)b) i1(t) leads i3(t).
Chapter 9 Solutions
Connect 2 Semester Access Card for Fundamentals of Electric Circuits
Ch. 9.2 - Practice Problem 9.1 Given the sinusoid 45 cos(5t...Ch. 9.2 - Practice Problem 9.2 Find the phase angle between...Ch. 9.3 - Prob. 3PPCh. 9.3 - Express these sinusoids as phasors: (a)...Ch. 9.3 - Find the sinusoids corresponding to these phasors:...Ch. 9.3 - If v1=10sint30V and v2=20cost+45V, find v=v1+v2.Ch. 9.3 - Prob. 7PPCh. 9.4 - If voltage v=25sin100t15V is applied to a 50F...Ch. 9.5 - Refer to Fig. 9.17. Determine v(t) and i(t).Ch. 9.7 - Determine the input impedance of the circuit in...
Ch. 9.7 - Calculate vo in the circuit of Fig. 9.27. Figure...Ch. 9.7 - Find I in the circuit of Fig. 9.30. Figure 9.30Ch. 9.8 - Design an RC circuit to provide a 90 lagging phase...Ch. 9.8 - Refer to the RL circuit in Fig. 9.36. If 10 V is...Ch. 9.8 - In the ac bridge circuit of Fig. 9.37, suppose...Ch. 9 - Which of the following is not a right way to...Ch. 9 - A function that repeats itself after fixed...Ch. 9 - Which of these frequencies has the shorter period?...Ch. 9 - If v1 = 30 sin(t + 10) and v2 = 20 sin(t + 50),...Ch. 9 - The voltage across an inductor leads the current...Ch. 9 - The imaginary part of impedance is called:...Ch. 9 - The impedance of a capacitor increases with...Ch. 9 - At what frequency will the output voltage v0(t) in...Ch. 9 - A series RC circuit has VR = 12 V and VC = 5 V....Ch. 9 - A series RCL circuit has R = 30 , XC = 50 , and XL...Ch. 9 - Given the sinusoidal voltage v(t) = 50 cos (30t +...Ch. 9 - A current source in a linear circuit has...Ch. 9 - Express the following functions in cosine form:...Ch. 9 - Design a problem to help other students better...Ch. 9 - Given v1=45sint+30V and v2=50cost30V, determine...Ch. 9 - For the following pairs of sinusoids, determine...Ch. 9 - If f() = cos + j sin , show that f() = ej.Ch. 9 - Calculate these complex numbers and express your...Ch. 9 - Evaluate the following complex numbers and leave...Ch. 9 - Design a problem to help other students better...Ch. 9 - Find the phasors corresponding to the following...Ch. 9 - Let X=440 and Y=2030. Evaluate the following...Ch. 9 - Evaluate the following complex numbers: (a)...Ch. 9 - Simplify the following expression: (a)...Ch. 9 - Evaluate these determinants: (a) 10+j62j351+j (b)...Ch. 9 - Prob. 16PCh. 9 - Two voltages v1 and v2 appear in series so that...Ch. 9 - Obtain the sinusoids corresponding to each of the...Ch. 9 - Using phasors, find: (a) 3cos20t+105cos20t30 (b)...Ch. 9 - A linear network has a current input 7.5cos10t+30A...Ch. 9 - Simplify the following: (a) ft=5cos2t+154sin2t30...Ch. 9 - An alternating voltage is given by v(t) = 55...Ch. 9 - Apply phasor analysis to evaluate the following:...Ch. 9 - Find v(t) in the following integrodifferential...Ch. 9 - Using phasors, determine i(t) in the following...Ch. 9 - Prob. 26PCh. 9 - A parallel RLC circuit has the node equation...Ch. 9 - Determine the current that flows through an 20-...Ch. 9 - Given that vc(0) = 2 cos(155) V, what is the...Ch. 9 - A voltage v(t) = 100 cos(60t + 20) V is applied to...Ch. 9 - A series RLC circuit has R = 80 , L = 240 mH, and...Ch. 9 - Using Fig. 9.40, design a problem to help other...Ch. 9 - A series RL circuit is connected to a 220-V ac...Ch. 9 - What value of will cause the forced response, vo...Ch. 9 - Find the steady-state current i in the circuit of...Ch. 9 - Using Fig. 9.43, design a problem to help other...Ch. 9 - Determine the admittance Y for the circuit in Fig....Ch. 9 - Using Fig. 9.45, design a problem to help other...Ch. 9 - For the circuit shown in Fig. 9.46, find Zeq and...Ch. 9 - In the circuit of Fig. 9.47, find io when: (a) =...Ch. 9 - Find v(t) in the RLC circuit of Fig. 9.48. Figure...Ch. 9 - Calculate vo(t) in the circuit of Fig. 9.49....Ch. 9 - Find current Io in the circuit shown in Fig. 9.50....Ch. 9 - Calculate i(t) in the circuit of Fig. 9.51. Figure...Ch. 9 - Find current Io in the network of Fig. 9.52....Ch. 9 - If vs = 100 sin(10t + 18) V in the circuit of Fig....Ch. 9 - In the circuit of Fig. 9.54, determine the value...Ch. 9 - Given that vs(t) = 20 sin (100t 40) in Fig. 9.55,...Ch. 9 - Find vs (t) in the circuit of Fig. 9.56 if the...Ch. 9 - Determine vx in the circuit of Fig. 9.57. Let...Ch. 9 - If the voltage vo across the 2- resistor in the...Ch. 9 - If V in the circuit of Fig. 9.59, find Is. Figure...Ch. 9 - Find Io in the circuit of Fig. 9.60.Ch. 9 - In the circuit of Fig. 9.61, Find Vs if Io=300A.Ch. 9 - Find Z in the network of Fig. 9.62, given that...Ch. 9 - At = 377 rad/s, find the input impedance of the...Ch. 9 - At = 1 rad/s, obtain the input admittance in the...Ch. 9 - Using Fig. 9.65, design a problem to help other...Ch. 9 - For the network in Fig. 9.66, find Zin. Let = 100...Ch. 9 - Obtain Zin for the circuit in Fig. 9.67. Figure...Ch. 9 - Find Zeq in the circuit in Fig. 9.68. Figure 9.68Ch. 9 - For the circuit in Fig. 9.69, find the input...Ch. 9 - For the circuit in Fig. 9.70, find the value of...Ch. 9 - Find ZT and Vo in the circuit in Fig. 9.71. Let...Ch. 9 - Determine ZT and I for the circuit in Fig. 9.72....Ch. 9 - For the circuit in Fig. 9.73, calculate ZT and...Ch. 9 - At = 103 rad/s, find the input admittance of each...Ch. 9 - Determine Yeq for the circuit in Fig. 9.75. Figure...Ch. 9 - Find the equivalent admittance Yeq of the circuit...Ch. 9 - Find the equivalent impedance of the circuit in...Ch. 9 - Obtain the equivalent impedance of the circuit in...Ch. 9 - Calculate the value of Zab in the network of Fig....Ch. 9 - Determine the equivalent impedance of the circuit...Ch. 9 - Design an RL circuit to provide a 90 leading phase...Ch. 9 - Design a circuit that will transform a sinusoidal...Ch. 9 - For the following pairs of signals, determine if...Ch. 9 - Refer to the RC circuit in Fig. 9.81. (a)...Ch. 9 - A coil with impedance 8 + j6 is connected in...Ch. 9 - (a) Calculate the phase shift of the circuit in...Ch. 9 - Consider the phase-shifting circuit in Fig. 9.83....Ch. 9 - The ac bridge in Fig. 9.37 is balanced when R1 =...Ch. 9 - A capacitance bridge balances when R1 = 100 , R2 =...Ch. 9 - An inductive bridge balances when R1 = 1.2 k, R2 =...Ch. 9 - The ac bridge shown in Fig. 9.84 is known as a...Ch. 9 - The ac bridge circuit of Fig. 9.85 is called a...Ch. 9 - The circuit shown in Fig. 9.86 is used in a...Ch. 9 - The network in Fig. 9.87 is part of the schematic...Ch. 9 - A series audio circuit is shown in Fig. 9.88. (a)...Ch. 9 - An industrial load is modeled as a series...Ch. 9 - An industrial coil is modeled as a series...Ch. 9 - Figure 9.91 shows a series combination of an...Ch. 9 - A transmission line has a series impedance of and...Ch. 9 - A power transmission system is modeled as shown in...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 1) Two alternating voltages are given by: v1 = 120 sin (ωt) volts and v2 =200 sin (ωt −π/4) volts. Obtain sinusoidal expressions for v1 −v2 (a) by plotting waveforms, and (b) by resolution of phasors.arrow_forwardFind the phase relations for the following pairs of sinusoids. Sketch the curve e and i anddetermine which one LAGS and LEADS.a. v = 60 sin(377 t + 50°) V ; i = 3 sin(754t − 10°)A b. v = 6.4 sin(7.1 πt + 30°) V ; i = 7.3 sin(7.1 πt − 10°)A c. v = 42.3 sin(400 t + 60°) V ; i = −4.1 sin(400t − 50°)Aarrow_forward5. Four e.m.f.s, e1 = 100 sinωt, e2 = 80 sin(ωt − π/6), e3 = 120 sin(ωt + π/4) and e4 = 100 sin(ωt − 2π/3), are induced in four coils connected in series so that the sum of the four e.m.f.s is obtained. Find graphically or by calculation the resultant e.m.f. and its phase difference with (a) e1 and (b) e2.arrow_forward
- Given the voltage υ(t) = 120 cos (314t + π/4) V, determine the frequency of the voltage in Hertz and the phase angle in degrees. (Answer: 50 Hz ; 45°) 2- Three branch currents in a network are known to be i1(t) = 2 sin (377t + 45°) A i2(t) = 0.5 cos (377t + 10°) A i3(t) = - 0.25 sin (377t + 60°) A Determine the phase angles by which a) i1(t) leads i2(t) b) i1(t) leads i3(t).arrow_forward73. In phasor, the resistance has an angle of 90 degrees and the voltage and current are in phase." True False 74. The impedance (Z) of a circuit is the ratio of the phasor current to the phasor voltage. True False 75. Conductance is always expressed as a real number and comprised the real part of impedance equation. True Falsearrow_forwardQI Consider the circuit of Figure (1) z )0+ j40 Q Figl a. Calculate the sinusoidal voltages v1 and v2 using phasors and the voltage divider rule. b, Sketch the phasor diagram showing E, V1, and V2arrow_forward
- Find the phase relation for the following pairs of sinusoids, (which leads and lags which by how much). Draw each phasor diagrams (a) i1 = -3cos(377t-π/4)A i2 = -3cos(377t-2π/3)A (b) v = 12√2 sin(50πt+390°)V i = 1.2 sin(50πt+100°)A (c) v = -3cos(377t-π/4)V i = 1.2sin(50πt+100°)Aarrow_forwardTwo alternating voltages are given by v1 = 15sinωt volts and v2 = 25 sin (ωt – π/6) volts. Plot both functions on the same axes and hence determine a sinusoidal expression for the resultant vr = v1 + v2. Check your answer using an analytical method. Your manager has asked you to analyse the variation in in results between the two methodsarrow_forwardUnderstand ac power concepts, their relationships to one another, and how to calculate them in a circuit Find the phasor voltage Vs in the circuit shown if loads L1 and L2are absorbing 15 kVA at 0.6 pf lagging and 6 kVA at 0.8 pf leading,respectively. Express Vs in polar form.arrow_forward
- The signal V1=100 cos(500t - 30°) and the signal V2=20 sin (500t +45°) compared in phase would be a) V1 15° ahead of V2 b) V1 75° behind V2 c) V2 15° ahead of V1 d) None of the abovearrow_forwardImpedances Z2 and Z3 in parallel are in series with impedance Z1 across a 100 V, 50 Hz acsupply. Z1 =6.25 + j 1.25 ohm; Z2 = 5 + j0 ohm and Z3 = 5 – jXc ohm. Determine the value ofcapacitance of Xc such that the total current of the circuit will be in phase with the totalvoltage. When is then the circuit current and power.arrow_forwardgiven The sinusoidal current source produces the current 8*cos(20,000t) A. L = 40 uH C = 1 uF R1 = 10 ohms R2 = 5 ohms R3 = 6 ohms a. what is inductor impedance ZL? b. what is capacitor impedance ZC? c. what is admittance Y1 in the branch on the left? d. what is admittance Y2 in the branch in the middle? e. what is admittance Y3 in the branch on the right? f. what is the equivalent admittance to the right of the current source? g. what is the equivalent impedance to the right of the current source? h. what is the source voltage, v? i. what is the phasor current I across the capacitor? Please all subparts in short like it definitely don't reject in shorts please..arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Random Variables and Probability Distributions; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lHCpYeFvTs0;License: Standard Youtube License