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
Question
Chapter 8.7, Problem 13P
(a)
To determine
Find the current
(b)
To determine
Find the current
(c)
To determine
Find the current
(d)
To determine
Find the current
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Figure 8 showsa resistor inductor capacitor (RLC) circuit. The input to the system is
the voltage v(t) and the output of the circuit is the current iz (t).
8
R,
i(t)
iz(t)
v(t)
Ve(t)
R2
Figure 8
a)
Determine differential equations containing i, (t), iz (t) and v. (t) for the
appropriate meshes and nodes.
b) Assuming zero initial conditions
i)
derive Laplace transformations of the differential equations found in a)
ii)
determine the transfer function G(s) =
I2(s)
VIs where l2(s) = L{i2 (t}}
and V(s) = L{v(t}.
Thank you
The current in the circuit is known to bei=B1e−2000tcos1500t+B2e−2000tsin1500t, t≥0.The capacitor has a value of 80 nF; the initial value of the current is 7.5mA; and the initial voltage on the capacitor is –30 V. Find the values ofR, L, B1, and B2
Chapter 8 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 8.1 - For the circuit in Fig. 8.2, what value of...Ch. 8.1 - Noting carefully how the circuit changes once the...Ch. 8.2 - In a source-free series RC circuit, find the...Ch. 8.3 - Prob. 4PCh. 8.3 - Prob. 5PCh. 8.4 - Prob. 6PCh. 8.4 - Prob. 7PCh. 8.4 - Prob. 8PCh. 8.5 - Evaluate each of the following at t = 0.8: (a)...Ch. 8.6 - For the circuit of Fig. 8.37, find vc(t) at t...
Ch. 8.7 - Prob. 11PCh. 8.7 - The voltage source 60 40u(t) V is in series with...Ch. 8.7 - Prob. 13PCh. 8.8 - Prob. 14PCh. 8.8 - Prob. 15PCh. 8 - A source-free RC circuit has R = 4 k and C = 22 F,...Ch. 8 - A source-free RC circuit has v(0) = 12 V and R =...Ch. 8 - The resistor in the circuit of Fig. 8.51 has been...Ch. 8 - Prob. 4ECh. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - The switch in Fig. 8.56 has been closed for a long...Ch. 8 - For the circuit in Fig. 8.56, find (a) the total...Ch. 8 - Design a capacitor-based circuit that can achieve...Ch. 8 - (a) Graph the function f (t) = 10e2t over the...Ch. 8 - The current i(t) flowing through a 1 k resistor is...Ch. 8 - Radiocarbon dating has a similar exponential time...Ch. 8 - For the circuit of Fig. 8.4, compute the time...Ch. 8 - Design a circuit which will produce a current of 1...Ch. 8 - Prob. 18ECh. 8 - Prob. 19ECh. 8 - Referring to the circuit shown in Fig. 8.11,...Ch. 8 - Prob. 21ECh. 8 - With the assumption that the switch in the circuit...Ch. 8 - The switch in Fig. 8.57 has been closed since...Ch. 8 - The switch in the circuit of Fig. 8.58 has been...Ch. 8 - Assuming the switch initially has been open for a...Ch. 8 - (a) Obtain an expression for v(t), the voltage...Ch. 8 - For the circuit of Fig. 8.61, determine ix, iL,...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - (a) Obtain an expression for vx as labeled in the...Ch. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - The switch in Fig. 8.70 is moved from A to B at t...Ch. 8 - Prob. 39ECh. 8 - Prob. 40ECh. 8 - Evaluate the following functions at t = 1, 0, and...Ch. 8 - Prob. 42ECh. 8 - Prob. 43ECh. 8 - Prob. 44ECh. 8 - You can use MATLAB to represent the unit-step...Ch. 8 - With reference to the circuit depicted in Fig....Ch. 8 - For the circuit given in Fig. 8.75, (a) determine...Ch. 8 - Prob. 48ECh. 8 - Prob. 49ECh. 8 - You build a portable solar charging circuit...Ch. 8 - The switch in the circuit of Fig. 8.78 has been...Ch. 8 - The switch in the circuit of Fig. 8.78 has been...Ch. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - For the circuit represented in Fig. 8.82, (a)...Ch. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - For the circuit given in Fig. 8.85, (a) determine...Ch. 8 - The circuit depicted in Fig. 8.86 contains two...Ch. 8 - Prob. 62ECh. 8 - Prob. 63ECh. 8 - A series RL circuit has a voltage that steps from...Ch. 8 - For the two-source circuit of Fig. 8.89, note that...Ch. 8 - (a) Obtain an expression for iL as labeled in Fig....Ch. 8 - Obtain an expression for i(t) as labeled in the...Ch. 8 - Obtain an expression for i1 as indicated in Fig....Ch. 8 - Plot the current i(t) in Fig. 8.93 if (a) R = 10 ;...Ch. 8 - A dc motor can be modeled as a series RL circuit...Ch. 8 - Prob. 71ECh. 8 - Prob. 72ECh. 8 - A series RC sequentially switched circuit has R =...Ch. 8 - Refer to the circuit of Fig. 8.95, which contains...Ch. 8 - In the circuit of Fig. 8.95, a 3 mF capacitor is...Ch. 8 - Prob. 78E
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
- Consider the given circuit. The switch has been closed for a very long time before opening at t=0s. Determine the expression for Io(t) for t≥0 (in ms) and the expression for the inductor voltage for t≥0.arrow_forward8. A series RC circuit (Fig. 1 below) with one resistor (R=500 M) and one capacitor (C=0.5 µF) is connected to an AC voltage supply which supplies a voltage v=100 sin(1000t+309) (from t=0 to t=∞). The initial charge on the capacitor is Qo = 25 µC and the initial voltage on the capacitor is in the same sense as the AC voltage supply. Obtain the current for t > 0. Qo Figure 1 500 D 0.5 μF 100 V 10 Ω 250 0.01 H Figure 2 iz 250arrow_forwardLet the first order circuit be shown in the following figure:The switch shown is known to change itsstate from open to closed at time t = 0 and that,once this change has occurred, the circuit reaches thesteady state at approximately 4.5 μs.a) Show that the voltage, v (t), satisfies the following first-order differential equation:arrow_forward
- The switch in Fig. 8.73 is moved from A to B at t = 0 after being at A for along time. This places the two capacitors in series, thus allowing equal andopposite dc voltages to be trapped on the capacitors. (a) Determine v1(0−),v2(0−), and vR(0−). (b) Find v1(0+), v2(0+), and vR(0+). (c) Determine thetime constant of vR(t). (d) Find vR(t), t > 0. (e) Find i(t). ( f ) Find v1(t) andv2(t) from i(t) and the initial values. (g) Show that the stored energy at t = ∞plus the total energy dissipated in the 20 k-resistor is equal to the energystored in the capacitors at t = 0.arrow_forwardThe RC circuit shown on the right consists of a 1 µF capacitance, with an initial stored energy of 450 µµJ and a lkN resistance. If the circuit is subjected to a dc forcing voltage Vs, and if it is found that v(2 ms) = 0 a) Find Vs b) How much voltage changes v(t = 0.1ms) to v(t=lms)arrow_forward7 Consider the system with input u(t) and output y(t) whose block diagram is shown in Figure 7. w is an internal state and the conventional dotted notation is used to represent its time derivatives as shown in the figure. | b, b, y(1) + u(t) Figure 7 a) Determine a differential equation relating i) u(t), w and its time derivativesarrow_forward
- 8H i(t) Q.39: The switch in the circuit shown in figure beside has been closed for a long time, then opened expression for the current through the inductor i(t). 12A U8 162 at t=0. Find the numerical U8arrow_forward8H OFFF i(t) Q.39: The switch in the circuit shown in figure beside has been closed for a long time, then 12A opened at expression for the current through the inductor i(t). 162 t=0. Find the numericalarrow_forwardJO71 The switch in the circuit in Fig. 5 has been in the left position for a long time. At t=0 it moves to the right position and stays there. a) Write the expression for the capacitor voltage v(t), for t> 0. b) Write the expression for the current i(t) through the 40 k2 resistor, for t>0. 5 kN 40 kn t=0 10 kn3 160 nF 25 kn 310 kn 120 V Fig. 5.arrow_forward
- The circuit in Fig. 8 is at steady state before the switch opens. Find the current i(t) for t > 0. 8V 60 k 60 k 30 k i(t) 2µF: Fig. 8 1=0 t v(1) 2Varrow_forward4. The circuit is at steady state before the switch transitions from closed to open at time t= 0. The output of this circuit is v(t), the voltage across the capacitor. Determine v(t) fort> 0. t = 0 10 kQ 30 kQ 4 V(* 20 kO 2µF vli) 2 V i(t)arrow_forward1 Determine the differential equation that relates the input r(t) to output y(t) of a series RLC circuit in figure 1 for these three cases: x(t) R + Figure 1: RLC circuit • r(t) = input voltage and y(t) =current • z(t) = input voltage and y(t) = volt age across inductor • z(t) = input voltage and y(t) = voltage across capacitorarrow_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,
ENA 9.2(1)(En)(Alex) Sinusoids & Phasors - Explanation with Example 9.1 ,9.2 & PP 9.2; Author: Electrical Engineering Academy;https://www.youtube.com/watch?v=vX_LLNl-ZpU;License: Standard YouTube License, CC-BY
Electrical Engineering: Ch 10 Alternating Voltages & Phasors (8 of 82) What is a Phasor?; Author: Michel van Biezen;https://www.youtube.com/watch?v=2I1tF3ixNg0;License: Standard Youtube License