Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 7, Problem 29P
Sketch the following functions:
- (a) x(t) = 10e−tu(t − 1),
- (b) y(t) = 10e−(t−1) u(t),
- (c) z(t) = cos 4tδ(t − 1)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Fine the time domain waveforms of i(t).
R1
i(t)
30 N
+
R2
Vs(t):
= 110 cos(2760t+0°) V
60 N
65 μF
s) A periodic signal x(t) is shown in Figure-1 and x(t) is defined as:
x(t)=cos(t) for -t/2
What will be the numerical value of the following integral?
₁ [8 (t+3) 28 (4t)]dt
-
Chapter 7 Solutions
Fundamentals of Electric Circuits
Ch. 7.2 - Refer to the circuit in Fig. 7.7. Let vC (0) = 60...Ch. 7.2 - If the switch in Fig. 7.10 opens at t = 0, find...Ch. 7.3 - Find i and vx in the circuit of Fig. 7.15. Let...Ch. 7.3 - For the circuit in Fig. 7.18, find i(t) for t 0....Ch. 7.3 - Determine i, io, and vo for all t in the circuit...Ch. 7.4 - Express the current pulse in Fig. 7.33 in terms of...Ch. 7.4 - Refer to Fig. 7.39. Express i(t) in terms of...Ch. 7.4 - If h t = 0, t0 4, 0t2 3t8, 2t6 0, t6 express h(t)...Ch. 7.4 - Practice Problem 7.9 Evaluate the following...Ch. 7.5 - Find v(t) for t 0 in the circuit of Fig. 7.44....
Ch. 7.5 - The switch in Fig. 7.47 is closed at t = 0. Find...Ch. 7.6 - The switch in Fig. 7.52 has been closed for a long...Ch. 7.6 - Switch S1 in Fig. 7.54 is closed at t = 0, and...Ch. 7.7 - For the op amp circuit in Fig. 7.56, find vo for t...Ch. 7.7 - Find v(t) and vo(t) in the op amp circuit of Fig....Ch. 7.7 - Obtain the step response vo(t) for the circuit in...Ch. 7.8 - For the circuit in Fig. 7.66, use Pspice to find...Ch. 7.8 - The switch in Fig. 7.71 was open for a long time...Ch. 7.9 - The RC circuit in Fig. 7.74 is designed to operate...Ch. 7.9 - The flash unit of a camera has a 2-mF capacitor...Ch. 7.9 - A relay has a resistance of 200 and an inductance...Ch. 7.9 - Prob. 22PPCh. 7 - An RC circuit has R = 2 and C = 4 F. The time...Ch. 7 - The time constant for an RL circuit with R = 2 ...Ch. 7 - A capacitor in an RC circuit with R = 2 and C = 4...Ch. 7 - An RL circuit has R = 2 and L = 4 H. The time...Ch. 7 - In the circuit of Fig. 7.79, the capacitor voltage...Ch. 7 - Figure 7.79 For Review Questions 7.5 and 7.6....Ch. 7 - For the circuit in Fig. 7.80, the inductor current...Ch. 7 - Figure 7.80 For Review Questions 7.7 and 7.8....Ch. 7 - If vs changes from 2 V to 4 V at t = 0, we may...Ch. 7 - The pulse in Fig. 7.116(a) can be expressed in...Ch. 7 - In the circuit shown in Fig. 7.81...Ch. 7 - Find the time constant for the RC circuit in Fig....Ch. 7 - Determine the time constant for the circuit in...Ch. 7 - The switch in Fig. 7.84 has been in position A for...Ch. 7 - Using Fig. 7.85, design a problem to help other...Ch. 7 - The switch in Fig. 7.86 has been closed for a long...Ch. 7 - Assuming that the switch in Fig. 7.87 has been in...Ch. 7 - For the circuit in Fig. 7.88, if...Ch. 7 - The switch in Fig. 7.89 opens at t = 0. Find vo...Ch. 7 - For the circuit in Fig. 7.90, find vo(t) for t 0....Ch. 7 - For the circuit in Fig. 7.91, find io for t 0....Ch. 7 - Using Fig. 7.92, design a problem to help other...Ch. 7 - In the circuit of Fig. 7.93,...Ch. 7 - Calculate the time constant of the circuit in Fig....Ch. 7 - Find the time constant for each of the circuits in...Ch. 7 - Determine the time constant for each of the...Ch. 7 - Consider the circuit of Fig. 7.97. Find vo(t) if...Ch. 7 - For the circuit in Fig. 7.98, determine vo(t) when...Ch. 7 - In the circuit of Fig. 7.99, find i(t) for t 0 if...Ch. 7 - For the circuit in Fig. 7.100, v = 90e50t V and i...Ch. 7 - In the circuit of Fig. 7.101, find the value of R...Ch. 7 - Find i(t) and v(t) for t 0 in the circuit of Fig....Ch. 7 - Consider the circuit in Fig. 7.103. Given that...Ch. 7 - Express the following signals in terms of...Ch. 7 - Design a problem to help other students better...Ch. 7 - Express the signals in Fig. 7.104 in terms of...Ch. 7 - Express v(t) in Fig. 7.105 in terms of step...Ch. 7 - Sketch the waveform represented by i(t) = [r(t) ...Ch. 7 - Sketch the following functions: (a) x(t) = 10etu(t...Ch. 7 - Prob. 30PCh. 7 - Evaluate the following integrals: (a)e4t2(t2)dt...Ch. 7 - Prob. 32PCh. 7 - The voltage across a 10-mH inductor is 45(t 2)mV....Ch. 7 - Evaluate the following derivatives: (a) ddtut1ut+1...Ch. 7 - Find the solution to the following differential...Ch. 7 - Solve for v in the following differential...Ch. 7 - A circuit is described by 4dvdt+v=10 (a) What is...Ch. 7 - A circuit is described by didt+3i=2ut Find i(t)...Ch. 7 - Calculate the capacitor voltage for t 0 and t 0...Ch. 7 - Find the capacitor voltage for t 0 and t 0 for...Ch. 7 - Using Fig. 7.108, design a problem to help other...Ch. 7 - (a) If the switch in Fig. 7.109 has been open for...Ch. 7 - Consider the circuit in Fig. 7.110. Find i(t) for...Ch. 7 - The switch in Fig. 7.111 has been in position a...Ch. 7 - Find vo in the circuit of Fig. 7.112 when vs =...Ch. 7 - Prob. 46PCh. 7 - Determine v(t) for t 0 in the circuit of Fig....Ch. 7 - Find v(t) and i(t) in the circuit of Fig. 7.115....Ch. 7 - If the waveform in Fig. 7.116(a) is applied to the...Ch. 7 - In the circuit of Fig. 7.117, find ix for t 0....Ch. 7 - Rather than applying the shortcut technique used...Ch. 7 - Using Fig. 7.118, design a problem to help other...Ch. 7 - Determine the inductor current i(t) for both t 0...Ch. 7 - Obtain the inductor current for both t 0 and t 0...Ch. 7 - Find v(t) for t 0 and t 0 in the circuit of Fig....Ch. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Rework Prob. 7.17 if i(0) = 10 A and v(t) = 20u(t)...Ch. 7 - Determine the step response vo(t) to is = 6u(t) A...Ch. 7 - Find v(t) for t 0 in the circuit of Fig. 7.125 if...Ch. 7 - In the circuit in Fig. 7.126, is changes from 5 A...Ch. 7 - For the circuit in Fig. 7.127, calculate i(t) if...Ch. 7 - Obtain v(t) and i(t) in the circuit of Fig. 7.128....Ch. 7 - Determine the value of iL(t) and the total energy...Ch. 7 - If the input pulse in Fig. 7.130(a) is applied to...Ch. 7 - Using Fig. 7.131, design a problem to help other...Ch. 7 - If v(0) = 10 V, find vo(t) for t 0 in the op amp...Ch. 7 - Prob. 68PCh. 7 - For the op amp circuit in Fig. 7.134, find vo(t)...Ch. 7 - Determine vo for t 0 when vs = 20 mV in the op...Ch. 7 - For the op amp circuit in Fig. 7.136, suppose vs =...Ch. 7 - Find io in the op amp circuit in Fig. 7.137....Ch. 7 - For the op amp circuit of Fig. 7.138, let R1 = 10...Ch. 7 - Determine vo(t) for t 0 in the circuit of Fig....Ch. 7 - In the circuit of Fig. 7.140, find vo and io,...Ch. 7 - Repeat Prob. 7.49 using PSpice or MultiSim. If the...Ch. 7 - The switch in Fig. 7.141 opens at t = 0. Use...Ch. 7 - The switch in Fig. 7.142 moves from position a to...Ch. 7 - In the circuit of Fig. 7.143, determine io(t)....Ch. 7 - In the circuit of Fig. 7.144, find the value of io...Ch. 7 - Repeat Prob. 7.65 using PSpice or MultiSim. If the...Ch. 7 - In designing a signal-switching circuit, it was...Ch. 7 - Prob. 83PCh. 7 - A capacitor with a value of 10 mF has a leakage...Ch. 7 - A simple relaxation oscillator circuit is shown in...Ch. 7 - Figure 7.146 shows a circuit for setting the...Ch. 7 - A 120-V dc generator energizes a motor whose coil...Ch. 7 - The circuit in Fig. 7.148(a) can be designed as an...Ch. 7 - An RL circuit may be used as a differentiator if...Ch. 7 - An attenuator probe employed with oscilloscopes...Ch. 7 - The circuit in Fig. 7.150 is used by a biology...Ch. 7 - To move a spot of a cathode-ray tube across the...
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
- The machine shown in the figure presently hasx-D0,A(t) 1 and B(t) 0. The next state A(t+11) and B(t+1)will be CLK Resetarrow_forwardThe following waveform is sampled at a random time t over a period T = 1.5. Let X = {sample valuc of v(t)}. Find (c) P{0 < X < 3}. v(t) 0.5 1.0 1.5 2.0 2.5arrow_forward3. By referring the diagram below; i. Sketch the waveform of the given functions below. 0arrow_forwardConvert the continuous signal described by y(t) = 10 sin 2πt V into a discrete set of eight numbers using a time increment of 0.125 s. KNOWN The signal has the form y(t) = C₁ sin2f₁t where f₁=w₁/2π = 1 Hz C(f₁ = 1 Hz) = 10 V $(f₁) = 0 St = 0.125 s N = 8 10 1 0.0 0.2 0.4 0.6 0.8 1.0 1. FIND {y(r8t)} 2. WHAT KIND OF CIRCUITS SHOULD BE USED TO CONVERT THE ANOLOG SINGNAL INTO DIGITAL SIGNAL? Problem y (t) [V] 5 -10arrow_forwardsketch the fallowing f) 5x(t/2).g) 5x(3-t/2).h) x(t).δ(t)i) x(t).δ(t-0.5) (definition range is in photo)arrow_forward1. Sketch the following CT functions: (a) g(t) = 2u(4 --t) (b) x(t)=5 sgn(t – 4) (c) g(t) = 1+ sgn(4-t) (d) x(t)= 68(3t +9) (e) y(t) = 5 sine(t / 2) (f) f(t)=-sinc(2(1+1)) (g) x(t) = u(t+ 1/2)r(1/2-1) (h) h(t) = 4sinc(21)sgn(-t) 2. (a) A continuous time signal x(t) is shown in Fig. 1(a). Sketch each of the following signals: (i) x(t – 2) (ii) x(1–t) (iii) x(2t + 2) (iv) x(2 -- t/3) (b) For the signal h(t) depicted in Fig. 1(b), sketch each of the following signals: (1) (1/2)h(t)u(t) + h(-t)u(t) (ii) h(t/2)8(t +1) (iii) h(t)[u(t + 1) – u(t – 1)} x(t) h(t) 2 1 3 -1 1 2 -2 -1 2 -1 Fig. 1(a) Fig. 1(b) 3. Sketch the following DT signals: (a) x[n] = 2 cos(2m/6)– 3sin(m/3) (b) g[n] = (3/4)" (c) x[n] = 2(0.9)" sin(2m/4) 4. A discrete time signal x[n] is shown in Fig.2. Sketch and label carefully each of the following signals: (a)x[n-2] (b)x[4 – n] (c)x[2n] (d)x[2n+1] (e)x[n]u{2 – n] (f)x[n–1]S[n– 3] (g)(1/2)x[n]+ (1/2)(-1)" x[n] (h)x[n°] x[n] -3 -2 -1 0 12 3 4 6 7 8 9 10 11 12 n->arrow_forward1. Refer to the signal shown below. x(t) 2 02 -2 -4 -2 c. Find the total energy in x(t) 3 4 a. Decompose x(t) in terms of steps and ramps t (sec)arrow_forwardSketch and determine the energy of the given signal. A. y(t) = u(t)- u(t-10)arrow_forwardQ.)/Sketch the following signals: a) u(t−5)−u(t−7) b) u(t+3)−u(t−1) Please include an in-depth explanation on how you solved the step functions & a graph.arrow_forwardFind y(t)=u(t)*w(t) for v(t)=Ae at for t>0 and w(t)=sint for 0sts2 and w(t)=0 otherwise. (Hint: Express a sinusoid as a sum of exponentials.)arrow_forwardSketch the waveform represented by: i(t) = r(t) – r(t – 1) – u(t – 2) – r(t – 2) + r(t – 3) + u(t – 4)arrow_forwardSuppose that a signal is defined as x (t) = u(t-1), where A = 2.68, b = 3.69, and u(t) is the unit-step function. Determine the total energy for this signal. (Round your answer to two digits to the right of the decimal.)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_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,
ECE320 Lecture1-3c: Steady-State Error, System Type; Author: Rose-Hulman Online;https://www.youtube.com/watch?v=hG7dq-51AAg;License: Standard Youtube License