EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9, Problem 51P
If the voltage vo across the 2-Ω resistor in the circuit of Fig. 9.58 is 90 cos 2t V, obtain is.
Figure 9.58
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The ac bridge shown in Fig. 9.84 is known as a
Maxwell bridge and is used for accurate measurement
of inductance and resistance of a coil in terms of a
standard capacitance C.. Show that when the bridge
is balanced,
R2 R3
R₁
Lx = R₂R3Cs and Rx
=
1.6 ΚΩ,
Find Lx and R, for R₁ = 40 kN, R₂
R3 = 4 kn, and C₂ = 0.45 µF.
R₁
R3
Cs
R₂
AC
meter
R₂
ell
9. Recall that Kirchhoff's laws help to get the current in circuits. Consider the following
circuit:
L
R
I(t)
C
+q(t)
-q(t)
Ignore the alternating power for this problem.
a) What is the voltage over the resistor if it has a resistance of R ohms and the
current is I ampere?
b) What is the voltage over the capacitor if the capacitance is C and the charge on
the capacitor is q.
c)
What is the voltage over the inductor if it has an inductance of L Henry?
The answer must be in a form of
a differential equation.
Find current in the circuit shown in Fig. 9.50.
Chapter 9 Solutions
EBK 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
- Problem 9.82 Figure 50:1 JINI. Ideal Z be 1:20 Ideal ZL 1 of 1 Part A Find the impedance Zab in the circuit in (Figure 1) if Z=200/- 55° 2. Enter your answer using polar notation. Express argument in degrees. Zab= VAΣ vec Submit xa xb b √x √√x 1x1 T20 (X)* < Return to Assignment You have already submitted this answer. Enter a new answer. No credit lost. Try again. Previous Answers Request Answer Provide Feedback X.10n X ? Ωarrow_forwardTutorial exercise Jimmy the Circuit Builder is at it again and this time he is using AC. He has all of the linear components in pairs: two AC voltage sources, two AC current sources, two resistors, two capacitors and two inductors. He is trying to build circuits to create certain voltages and currents. All of the sources operate at w=500 rad/s. 940° V 2 <90° A - 12<60° V 1-30° A (c) V=6490° V (d) I=64150° A (e) I = 0.6 +j1.04 (f) V=18.25434.7° V + (a) Draw the circuit. (b) Calculate the voltage across each component. 100μF TE 1mF 46 392 -M 1mH hint: try combining the two sources 10mH Jimmy first builds one circuit to check his understanding of AC voltage, current and power. The circuit is a series connection of the 12 <60° V voltage source, the 3 resistor, the 10 mH inductor, and the 1mF capacitor. 1092 M Using only two elements, connect the pair of elements to create the following AC voltage and currents: Using exactly three elements, draw circuits to create the following AC voltage…arrow_forwardThe voltage and current of an element are i(t) = 3.cos(1000t + 10°) V(t) = 6.cos(1000t – 80°) The element is Select one: a. resistor and capacitor (R and C) b. resistor R c. Inductor L d. Capacitor Carrow_forward
- An industrial coil is modeled as a series combination ... of an inductance L and resistance R, as shown in Fig. 9.90. Since an ac voltmeter measures only the magnitude of a sinusoid, the following measurements are taken at 60 Hz when the circuit operates in the steady state: 80 Ω Coil ww V E L Decermine Rit. E = 193 V V1 = 67 V Vo = 104 V Round your answer to 4 decimal places. allarrow_forwardA series RC circuit consist of R = 2 mega-ohms and an uncharged capacitor C = 5 micro farad. The circuit is connected across a 100 V dc source at t = 0. Determine the voltage across the resistor 5 seconds later.arrow_forwardAn inductor having an impedance of 6 + j8 is connected across a 200v supply. The real power supplied to it is watts. choices: 4000 3200 2400 1200arrow_forward
- AC circuits pQ Figure 9.30 For Practice Prob. 9.12. Find 1 in the circuit of Fig. 9.30. Answer: 9.546/33.8° A.arrow_forward9. A series RL circuit contains a 100 Q resistor and a 1.0 H inductor and is operating at a frequency of 60 Hz. If 3.0 V are across the resistor, calculate: a) the current in the inductor b) the inductive reactance XL c) the voltage across the inductor VL d) the source voltage Vs e) the phase angle between VR and Vsarrow_forwardFind vẫ(t) and vi(t) in the circuit shown in Figure 9.47. FIGURE 9.47 Circuit for EXERCISE 9.13. R₁ 40 Ω Vs(t) = 330 cos(2#60t+60°) V C₁ 25 μF V₂ R₂ 50 Ω R3 30 Ω L 100 mH V₂ R₁ 90 Ω C₂ 35 μF Answer: va(t) = 116.4594 cos(2760t + 5.4118°) V, vb(t) = 135.9389 cos(2760t + 49.6765°) V.arrow_forward
- 3. A voltage across a 0.5 H is provided below. What is sinusoidal expression for the current? e =100 sin 20 t4. The voltage across 1 micro farrad capacitor is provided below. What is the sinusoidal expression for the current? e= 30 sin 400 tarrow_forwardConsider a sinusoidal emf source, v(t) = Vm sin (@t) results of current of i(t) = Im sin (@t+0) is applied to circuit of R, L & C in series. How to find the voltage across each one?.arrow_forwardI am trouble understanding this circuit. Here, R= 25.0 ohms, L=30.0 mH and C=12.0µF. Additionally the amplitude and frequency of the source voltage are 20.0 V, and 500 Hz. a) I would like to find the impedance for the circuit and the amplitude of current. b) I would like to find the amplitude f voltage across the resistor, inductor, and capactitor. Any help and guidence would be greatly appreciated :)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,
Current Divider Rule; Author: Neso Academy;https://www.youtube.com/watch?v=hRU1mKWUehY;License: Standard YouTube License, CC-BY