Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10, Problem 6E
Calculate the first three instants in time (t > 0) for which the following functions are zero, by first converting to a single sinusoid: (a) cos 3t − 7 sin 3t; (b) cos (10t + 45°); (c) cos 5t − sin 5t.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Given the sinusoidal voltage v(t) = 600 cos (400ttt - 60° ) V, find:
%3D
a) The maximum voltage value
b) The effective voltage value
c) The angular frequency
d) The frequency of the voltage
e) The value of the voltage at t = 10 ms
Consider the sinusoidal voltagev(t)=150cos(120πt−60∘)V
What is the maximum amplitude of the voltage?
What is the frequency in hertz?
What is the frequency in radians per second?
What is the phase angle in radians?
What is the phase angle in degrees?
What is the period in milliseconds?
What is the first time after t=0 that v= 150 V?
The sinusoidal function is shifted 125/18ms125/18ms to the right along the time axis. What is the expression for v(t)?
What is the minimum number of milliseconds that the function must be shifted to the left if the expression for v(t) is 150sin(120πt)V?
Consider the sinusoidal voltage
v(t)=100cos(1000nt-65°)V.
A. What is the period in milliseconds?
B. What is the first time after t=0 that v(t)=80V?
C. The sinusoidal function is shifted 2/5ms to the left along the time axis. What is the expression for v(t)?
Chapter 10 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 10.1 - Find the angle by which i1 lags v1 if v1 = 120...Ch. 10.2 - Determine values for A, B, C, and if 40 cos(100t ...Ch. 10.2 - Let vs = 40 cos 8000t V in the circuit of Fig....Ch. 10.3 - Prob. 4PCh. 10.3 - If the use of the passive sign convention is...Ch. 10.4 - Let = 2000 rad/s and t = 1 ms. Find the...Ch. 10.4 - Transform each of the following functions of time...Ch. 10.4 - In the circuit of Fig. 10.17, both sources operate...Ch. 10.5 - With reference to the network shown in Fig. 10.19,...Ch. 10.5 - In the frequency-domain circuit of Fig. 10.21,...
Ch. 10.5 - Determine the admittance (in rectangular form) of...Ch. 10.6 - Use nodal analysis on the circuit of Fig. 10.23 to...Ch. 10.6 - Use mesh analysis on the circuit of Fig. 10.25 to...Ch. 10.7 - If superposition is used on the circuit of Fig....Ch. 10.7 - Prob. 15PCh. 10.7 - Determine the current i through the 4 resistor of...Ch. 10.8 - Select some convenient reference value for IC in...Ch. 10 - Evaluate the following: (a) 5 sin (5t 9) at t =...Ch. 10 - (a) Express each of the following as a single...Ch. 10 - Prob. 3ECh. 10 - Prob. 4ECh. 10 - Prob. 5ECh. 10 - Calculate the first three instants in time (t 0)...Ch. 10 - (a) Determine the first two instants in time (t ...Ch. 10 - The concept of Fourier series is a powerful means...Ch. 10 - Household electrical voltages are typically quoted...Ch. 10 - Prob. 10ECh. 10 - Assuming there are no longer any transients...Ch. 10 - Calculate the power dissipated in the 2 resistor...Ch. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Prob. 15ECh. 10 - Express the following complex numbers in...Ch. 10 - Prob. 17ECh. 10 - Prob. 18ECh. 10 - Evaluate the following, and express your answer in...Ch. 10 - Perform the indicated operations, and express the...Ch. 10 - Insert an appropriate complex source into the...Ch. 10 - For the circuit of Fig. 10.51, if is = 2 cos 5t A,...Ch. 10 - In the circuit depicted in Fig. 10.51, if is is...Ch. 10 - Employ a suitable complex source to determine the...Ch. 10 - Transform each of the following into phasor form:...Ch. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - The following complex voltages are written in a...Ch. 10 - Assuming an operating frequency of 50 Hz, compute...Ch. 10 - Prob. 30ECh. 10 - Prob. 31ECh. 10 - Prob. 32ECh. 10 - Assuming the passive sign convention and an...Ch. 10 - The circuit of Fig. 10.53 is shown represented in...Ch. 10 - (a) Obtain an expression for the equivalent...Ch. 10 - Determine the equivalent impedance of the...Ch. 10 - (a) Obtain an expression for the equivalent...Ch. 10 - Determine the equivalent admittance of the...Ch. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Find V in Fig. 10.55 if the box contains (a) 3 in...Ch. 10 - Prob. 43ECh. 10 - Prob. 44ECh. 10 - Design a suitable combination of resistors,...Ch. 10 - Design a suitable combination of resistors,...Ch. 10 - For the circuit depicted in Fig. 10.58, (a) redraw...Ch. 10 - For the circuit illustrated in Fig. 10.59, (a)...Ch. 10 - Referring to the circuit of Fig. 10.59, employ...Ch. 10 - In the phasor-domain circuit represented by Fig....Ch. 10 - With regard to the two-mesh phasor-domain circuit...Ch. 10 - Employ phasor analysis techniques to obtain...Ch. 10 - Determine IB in the circuit of Fig. 10.62 if and ....Ch. 10 - Determine V2 in the circuit of Fig. 10.62 if and ....Ch. 10 - Employ phasor analysis to obtain an expression for...Ch. 10 - Determine the current ix in the circuit of Fig....Ch. 10 - Obtain an expression for each of the four...Ch. 10 - Determine the nodal voltages for the circuit of...Ch. 10 - Prob. 59ECh. 10 - Obtain an expression for each of the four mesh...Ch. 10 - Determine the individual contribution each current...Ch. 10 - Determine V1 and V2 in Fig. 10.68 if I1 = 333 mA...Ch. 10 - Prob. 63ECh. 10 - Obtain the Thvenin equivalent seen by the (2 j) ...Ch. 10 - The (2 j) impedance in the circuit of Fig. 10.69...Ch. 10 - With regard to the circuit depicted in Fig. 10.70,...Ch. 10 - Prob. 67ECh. 10 - Determine the individual contribution of each...Ch. 10 - Determine the power dissipated by the 1 resistor...Ch. 10 - The source Is in the circuit of Fig. 10.75 is...Ch. 10 - Prob. 72ECh. 10 - (a) Calculate values for IL, IR, IC, VL, VR, and...Ch. 10 - In the circuit of Fig. 10.77, (a) find values for...Ch. 10 - The voltage source Vs in Fig. 10.78 is chosen such...Ch. 10 - For the circuit shown in Fig. 10.79, (a) draw the...Ch. 10 - For the circuit shown in Fig. 10.80, (a) draw the...Ch. 10 - (a) Replace the inductor in the circuit of Fig....Ch. 10 - Design a purely passive network (containing only...
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
- Express the following phasors as single cosine function in the time domain if the frequency f is equal to 60 Hz.a. V = 86.3/26° V b. V = (60 + j30 + 100/-28°) V c. I = (10/30° +25/60°) mAarrow_forwardGiven the sinusoidal voltage v(t) = 600 cos (400Ttt - 60°) V, find: a) The maximum voltage value b) The effective voltage value c) The angular frequency d) The frequency of the voltage e) The value of the voltage att = 10 ms I !!arrow_forwardUse CTFT table and properties to find the numerical value of x(t) at t=0.75 if x(t)= 3 sinc (2t) * sinc (4t) : Select one: a. 0.75 sinc (1.5) b. None of the given options c. 3 sinc (1.5) + 3 sinc (3) d. 3 sinc (1.5) sinc (3) e. 3/8 rect (1.5) rect (3)arrow_forward
- A sinusoidal voltage has maximum amplitude of 90 V. The voltage passes through one complete cycle in 65 ms. (A) What is the frequency of the voltage in hertz. (Unit: Hz) Submit Answer Tries 0/3 (B) What is angular frequency. (Unit: rad/s) Submit Answer Tries 0/3 Submit Allarrow_forwardFind the period of the following sinusoids: a. 5 cos ( 3t + 30° ) b. cos ( 2t + t/4)+2 sin ( 2t - Tt/6 ) c. 4 cos 27tarrow_forwardVm = 10 V T = 2 ms V0 = 7.07 V 1) Write the expression for v(t) using the cosine function. Express phi in degrees. 2) Write the expression for v(t) using the sine function. Express phi in degrees.arrow_forward
- Q1 Choose the corect answer for ALL of the following questions. (a) Which of the following is not a right way to express the sinusoid A cos wr? i) A cos (2xft) i) A sin(wt – 90) ii) A cos w (t-T) iv) A cos (2at/T)arrow_forward3. The current through a 0.5 µF capacitor is given. What is the sinusoidal expression for the voltage? a. 0.20 sin 300t b. 8 x 10-3 sin 377t c. 60 x 10-3 cos 754t d. 0.08 sin(1600t - 80°)arrow_forward● What is the amplitude of the following sinusoidal voltage signal v(t) = 293 cos (374t + 250 ) V?arrow_forward
- ?What is the period of the following sinusoidal voltage signal v(t) = 158 cos (304t + 16°) V .Write your answer in milli-secondsarrow_forwardGiven the operation of sinusoids. 20 sin 4001 + 10 cos(400f + 60•) – 5 sin(4001 – 20) C. Express your answer in exponential form d. Express your answer in time domain functionarrow_forwardIn Electrical Engineering, the periodic especially sinusoidal signals arise frequently. A periodic function p(t) with the fundamental period T, satisfies p(t)=p(t+kT) for all t and all integer k. We define a sinusoidal signal as z(t)=Z,+ZpeakCOS(ot+¢), where Z, is the offset, Zpeak is the peak value, w=27 /T=2tf is the angular frequency (in rad/s), o is the phase (in radians), T is the period and f is the frequency (in Hz=s'). Note that, these are Ao, C1, 0 and T in the figure below. (Note: The phase ø is defined in radians. However, we often write it in degrees!) 2.5 1.5 1 Ao T 0.5 -1 1 2 3 t[s] a. Express a sine wave (i.e. y(t)=YpeakSin(wt)) in the form given above. реа b. Let us given the signal r(t)=-5+10cos(314t-45°). Find the offset, peak, frequency, period and phase of this signal. c. The rms (root-mean-square) value Pms (also, nominal value or effective value) of a periodic function p(t) is defined as P dt . Note that, the %3D integration should be on a full-period and the…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,
How does an Antenna work? | ICT #4; Author: Lesics;https://www.youtube.com/watch?v=ZaXm6wau-jc;License: Standard Youtube License