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
Concept explainers
Textbook Question
Chapter 8, Problem 40P
The switch in the circuit of Fig. 8.88 is moved from position a to b at t = 0. Assume that the voltage across the capacitor is equal to zero at t = 0 and that the switch is a make before break switch. Determine i(t) for all t > 0.
Figure 8.88
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
If resistance of a series RLC circuit is 50 ohm, inductance is 1.5 H, the value of C that wilo make the circuit
a) underdamped
b) critically damped
c) overdamped
An RL circuit has an emf of 5V, a resistance of 50Ω , an inductance of 1H and no initial current. Find the current in the circuit at any time t and the current at time equal to infinity
8. 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
250
Chapter 8 Solutions
Fundamentals of Electric Circuits
Ch. 8.2 - The switch in Fig. 8.4 was open for a long time...Ch. 8.2 - For the circuit in Fig. 8.7, find: (a) iL(0+),...Ch. 8.3 - If R = 10 , L = 5 H, and C = 2 mF in Fig. 8.8,...Ch. 8.3 - The circuit in Fig. 8.12 has reached steady state...Ch. 8.4 - In Fig. 8.13, let R = 2 , L = 0.4 H, C = 25 mF,...Ch. 8.4 - Refer to the circuit in Fig. 8.17. Find v(t) for t...Ch. 8.5 - Having been in position a for a long time, the...Ch. 8.6 - Find i(t) and v(t) for t 0 in the circuit of Fig....Ch. 8.7 - Determine v and i for t 0 in the circuit of Fig....Ch. 8.7 - For t 0, obtain v0(t) in the circuit of Fig....
Ch. 8.8 - In the op amp circuit shown in Fig. 8.34, vs =...Ch. 8.9 - Find i(t) using PSpice for 0 t 4 s if the pulse...Ch. 8.9 - Refer to the circuit in Fig. 8.21 (see Practice...Ch. 8.10 - Draw the dual circuit of the one in Fig. 8.46.Ch. 8.10 - For the circuit in Fig. 8.50, obtain the dual...Ch. 8.11 - In Fig. 8.52, find the capacitor voltage vC for t ...Ch. 8.11 - The output of a D/A converter is shown in Fig....Ch. 8 - For the circuit in Fig. 8.58, the capacitor...Ch. 8 - For Review Questions 8.1 and 8.2. 8.2For the...Ch. 8 - When a step input is applied to a second-order...Ch. 8 - If the roots of the characteristic equation of an...Ch. 8 - In a series RLC circuit, setting R = 0 will...Ch. 8 - Prob. 6RQCh. 8 - Refer to the series RLC circuit in Fig. 8.59. What...Ch. 8 - Consider the parallel RLC circuit in Fig. 8.60....Ch. 8 - Match the circuits in Fig. 8.61 with the following...Ch. 8 - Prob. 10RQCh. 8 - For the circuit in Fig. 8.62, find: (a)i(0+) and...Ch. 8 - Using Fig. 8.63, design a problem to help other...Ch. 8 - Refer to the circuit shown in Fig. 8.64....Ch. 8 - In the circuit of Fig. 8.65, find: (a) v(0+) and...Ch. 8 - Refer to the circuit in Fig. 8.66. Determine: (a)...Ch. 8 - In the circuit of Fig. 8.67, find: (a) vR(0+) and...Ch. 8 - A series RLC circuit has R = 20 k, L = 0.2 mH, and...Ch. 8 - Design a problem to help other students better...Ch. 8 - The current in an RLC circuit is described by...Ch. 8 - The differential equation that describes the...Ch. 8 - Prob. 11PCh. 8 - If R = 50 , L = 1.5 H, what value of C will make...Ch. 8 - For the circuit in Fig. 8.68, calculate the value...Ch. 8 - The switch in Fig. 8.69 moves from position A to...Ch. 8 - The responses of a series RLC circuit are...Ch. 8 - Find i(t) for t 0 in the circuit of Fig. 8.70....Ch. 8 - In the circuit of Fig. 8.71, the switch...Ch. 8 - Find the voltage across the capacitor as a...Ch. 8 - Obtain v(t) for t 0 in the circuit of Fig. 8.73....Ch. 8 - The switch in the circuit of Fig. 8.74 has been...Ch. 8 - Calculate v(t) for t 0 in the circuit of Fig....Ch. 8 - Assuming R = 2 k, design a parallel RLC circuit...Ch. 8 - For the network in Fig. 8.76, what value of C is...Ch. 8 - The switch in Fig. 8.77 moves from position A to...Ch. 8 - Using Fig. 8.78, design a problem to help other...Ch. 8 - The step response of an RLC circuit is given by...Ch. 8 - Prob. 27PCh. 8 - A series RLC circuit is described by...Ch. 8 - Solve the following differential equations subject...Ch. 8 - Prob. 30PCh. 8 - Consider the circuit in Fig. 8.79. Find vL(0+) and...Ch. 8 - For the circuit in Fig. 8.80, find v(t) for t 0.Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.81.Ch. 8 - Calculate i(t) for t 0 in the circuit of Fig....Ch. 8 - Using Fig. 8.83, design a problem to help other...Ch. 8 - Obtain v(t) and i(t) for t 0 in the circuit of...Ch. 8 - For the network in Fig. 8.85, solve for i(t) for t...Ch. 8 - Refer to the circuit in Fig. 8.86. Calculate i(t)...Ch. 8 - Determine v(t) for t 0 in the circuit of Fig....Ch. 8 - The switch in the circuit of Fig. 8.88 is moved...Ch. 8 - For the network in Fig. 8.89, find i(t) for t 0....Ch. 8 - Given the network in Fig. 8.90, find v(t) for t ...Ch. 8 - The switch in Fig. 8.91 is opened at t = 0 after...Ch. 8 - A series RLC circuit has the following parameters:...Ch. 8 - In the circuit of Fig. 8.92, find v(t) and i(t)...Ch. 8 - Prob. 46PCh. 8 - Find the output voltage vo(t) in the circuit of...Ch. 8 - Given the circuit in Fig. 8.95, find i(t) and v(t)...Ch. 8 - Determine i(t) for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Fig. 8.97, find i(t) for t 0....Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.98....Ch. 8 - The step response of a parallel RLC circuit is...Ch. 8 - After being open for a day, the switch in the...Ch. 8 - Using Fig. 8.100, design a problem to help other...Ch. 8 - For the circuit in Fig. 8.101, find v(t) for t 0....Ch. 8 - In the circuit of Fig. 8.102, find i(t) for t 0....Ch. 8 - Given the circuit shown in Fig. 8.103, determine...Ch. 8 - In the circuit of Fig. 8.104, the switch has been...Ch. 8 - The switch in Fig. 8.105 has been in position 1...Ch. 8 - Obtain i1 and i2 for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Prob. 8.5, find i and v for t ...Ch. 8 - Find the response vR(t) for t 0 in the circuit of...Ch. 8 - For the op amp circuit in Fig. 8.108, find the...Ch. 8 - Using Fig. 8.109, design a problem to help other...Ch. 8 - Determine the differential equation for the op amp...Ch. 8 - Obtain the differential equations for vo(t) in the...Ch. 8 - In the op amp circuit of Fig. 8.112, determine...Ch. 8 - For the step function vs = u(t), use PSpice or...Ch. 8 - Given the source-free circuit in Fig. 8.114, use...Ch. 8 - For the circuit in Fig. 8.115, use PSpice or...Ch. 8 - Obtain v(t) for 0 t 4 s in the circuit of Fig....Ch. 8 - The switch in Fig. 8.117 has been in position 1...Ch. 8 - Design a problem, to be solved using PSpice or...Ch. 8 - Draw the dual of the circuit shown in Fig. 8.118.Ch. 8 - Obtain the dual of the circuit in Fig. 8.119.Ch. 8 - Find the dual of the circuii in Fig. 8.120.Ch. 8 - Draw the dual of the circuit in Fig. 8.121.Ch. 8 - An automobile airbag igniter is modeled by the...Ch. 8 - A load is modeled as a 100-mH inductor in parallel...Ch. 8 - A mechanical system is modeled by a series RLC...Ch. 8 - An oscillogram can be adequately modeled by a...Ch. 8 - The circuit in Fig. 8.123 is the electrical analog...Ch. 8 - Figure 8.124 shows a typical tunnel-diode...
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
- how long it takes for a circuit with 30mH inductor and 8ohms resitor with a switch which connected as series to reach 85% of its maximum value. consider that at t=0 the switch is on the initial current is 0.arrow_forwardThe circuit shown below contains seven capacitors, each having capacitance C. The source voltage is given by v (1) = 4 cos(3t)V Find the current i(t) when C = 1 F. i(t) C v(t) C: C C C + Iarrow_forwardA 12 volt battery is connected to a simple series circuit where the inductance is 1/2 henrio and the resistance is 10 ohms. Determine the current if the initial current is 0. topic: ORDINARY DIFFERENTIAL EQUATIONSarrow_forward
- given the circuit below , find and plot the current ix(t) for t>0s A=3A resistors=2 ohms each anc capacitor=1/4F voltage source is 3ix. solve in great detail.arrow_forwardThe following circuit is used by a biology student to study "frog kick." She noticed that the frog kicked a little when the switch was closed but kicked violently when the switch was opened. Model the frog as a resistor (Rfrog = 1000N). Assume that switch has been closed for a long time. a) Compute the initial inductor current under DC conditions. b) At t = Os the switch is opened. Compute inductor current for t > 0. c) What is voltage applied to frog for t > 0? What could be a possible reason for the frog's violent kick? Switch 50 2 Frog 12 V 2 H |arrow_forward(b) A circuit network has two capacitors C1, and C2, that are connected in series and are supplied by a 12V voltage source. If C1 = 470µF and C2=220µF, sketch the circuit diagram and find the voltage across each of the capacitors:- (6) As a fresh engineer working with a mobile phone company, you have been tasked %3Darrow_forward
- Batteries and AC current are often used to charge a capacitor. A common example of capacitor use is in computer hard drives, where capacitors are charged in a specific pattern to code information. A simplified circuit with capacitors can be seen below. The capacitance of C¡ is 0.5 µF and the capacitances of C2 and C3 are 1 µF each. A 10 V battery with an internal resistance of 1 Q supplies the circuit. How long does it take to fully charge the capacitors of the circuit? HE Negative Postive 1 x 104s a. b. 1 x 10³s 1 × 10®s С. |1 × 10°s 1 x 105s e. d.arrow_forwardA series circuit containing R, L and C is excited by a step voltage input. The voltage across the capacitance exhibits oscillations. Damping coefficients (ratio) of circuit is given by R a) 8=> 2√LC c) 8= R 2√CIL b) 8= d) 8= R LC R 2√LICarrow_forward(b) The voltage across a 4 N resistor of an RC circuit in Figure Q8(b) is given by VR (t) = 2e-6tu(t)V. Determine the total energy dissipated by this resistor using Parseval's Theorem. R C Figure Q8(b)arrow_forward
- A voltage source of 90V is connected to a load through a switch.The load is a combination of a resistor of 400kΩ and an capacitor of 0.5µF inseries. The capacitor has no stored energy when the switch is closed at t = 0,and the current begins to flow.Let the circuit be on for a long time after t = 0. a. Find the total energy eventually stored in the capacitor.b. Find the total energy supplied by the voltage source.c. Are they equal? Explain whatever you find. Thank you for the help on this problem.arrow_forwardYou are investigating the electrical testing circuits and find that, in an inductive circuit, the relationship between instantaneous current i (amps) and the time t (secs) is given by: i = 12.5(1-e-t/CR) You have been asked to determine the time taken for the current to rise from 1 to 2 amps given your own R and C values as follows. R= 140 C= 90arrow_forwardQuestions states that the switch is closed at t=0, initial value of the inductor current= 0, Find the value of Vab at t=2 seconds. TIAarrow_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