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 9, Problem 8E
A parallel RLC circuit has R = 1 kΩ, L = 50 mH. and C = 2 nF. It the capacitor is initially charged to 4 V, and the inductor current is initially 50 mA (flowing into the positive node of the parallel connection), find an expression for the voltage dependence of the circuit and evaluate at time t = 5 µs.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
*The resistance, inductance, and capacitance in a parallel RLC circuit are 1900 Ω , 250 mH , and 9 nF , respectively. *
Pt A. Calculate the minimum root of the characteristic equation that describes the voltage response of the circuit.
Pt B. Calculate the maximum root of the characteristic equation that describes the voltage response of the circuit.
Pt C.Will the response be over-, under-, or critically damped?
Pt D. What value of R will yield a damped frequency of 12 krad/s?
Pt E. What are the roots of the characteristic equation for the value of R found in Part D?
Pt F. What value of R will result in a critically damped response?
Consider the RLC circuit shown where the initial current flowing through the circuit at time t = 0 is I_0 = 5 and the initial charge on the capacitor at time t = 0 is Q_0 = 2. The components have values of R = 100 ohms, L = 5 H, and C = 1/450,500 F.
Write the differential equation for Q(t), the charge across the capacitor, assuming the voltage source V(t) = 0
(Draw the diagram) Consider the RC circuit in which R=0.5 Ω, C=0.1 F, and E=20 V. Given that the capacitor has zero initial charge, determine the current in the circuit after 0.25 seconds.
Chapter 9 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 9.1 - A parallel RLC circuit contains a 100 2 resistor...Ch. 9.2 - After being open for a long time, the switch in...Ch. 9.2 - Prob. 3PCh. 9.2 - Prob. 4PCh. 9.3 - (a) Choose R1 in the circuit of Fig. 9.14 so that...Ch. 9.4 - Prob. 6PCh. 9.5 - Prob. 7PCh. 9.5 - Prob. 8PCh. 9.6 - Let is = 10u(t) 20u(t) A in Fig. 9.31. Find (a)...Ch. 9.6 - Let vs = 10 + 20u(t) V in the circuit of Fig....
Ch. 9.7 - Alter the capacitor value and voltage source in...Ch. 9 - For a certain source-free parallel RLC circuit, R...Ch. 9 - Element values of 10 mF and 2 nH are employed in...Ch. 9 - If a parallel RLC circuit is constructed from...Ch. 9 - Prob. 4ECh. 9 - You go to construct the circuit in Exercise 1,...Ch. 9 - A parallel RLC circuit has inductance 2 mH and...Ch. 9 - Prob. 7ECh. 9 - A parallel RLC circuit has R = 1 k, L = 50 mH. and...Ch. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - The current flowing through a 5 resistor in a...Ch. 9 - For the circuit of Fig.9.40, obtain an expression...Ch. 9 - Consider the circuit depicted in Fig. 9.40. (a)...Ch. 9 - With regard to the circuit represented in Fig....Ch. 9 - (a) Assuming the passive sign convention, obtain...Ch. 9 - With regard to the circuit presented in Fig. 9.42,...Ch. 9 - Obtain expressions for the current i(t) and...Ch. 9 - FIGURE 9.43 Replace the 14 resistor in the...Ch. 9 - Design a complete source-free parallel RLC circuit...Ch. 9 - For the circuit represented by Fig. 9.44, the two...Ch. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - A critically damped parallel RLC circuit is...Ch. 9 - A source-free parallel RLC circuit has an initial...Ch. 9 - A critically damped parallel RLC circuit is...Ch. 9 - For the circuit of Fig. 9.45, is(t) = 30u(t) mA....Ch. 9 - Prob. 27ECh. 9 - The circuit of Fig. 9.44 is rebuilt such that the...Ch. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - The source-free circuit depicted in Fig. 9.1 is...Ch. 9 - (a) Graph the current i for the circuit described...Ch. 9 - Analyze the circuit described in Exercise 31 to...Ch. 9 - A source-free parallel RLC circuit has capacitance...Ch. 9 - Prob. 35ECh. 9 - Obtain an expression for vL(t), t 0, for the...Ch. 9 - For the circuit of Fig. 9.47, determine (a) the...Ch. 9 - (a) Design a parallel RLC circuit that provides a...Ch. 9 - The circuit depicted in Fig. 9.48 is just barely...Ch. 9 - When constructing the circuit of Fig. 9.48, you...Ch. 9 - The circuit of Fig. 9.22a is constructed with a...Ch. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - The simple three-element series RLC circuit of...Ch. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - With reference to the series RLC circuit of Fig....Ch. 9 - Obtain an expression for i1 as labeled in Fig....Ch. 9 - The circuit in Fig. 9.52 has the switch in...Ch. 9 - For the circuit in Fig. 9.52, determine the value...Ch. 9 - In the series circuit of Fig. 9.53, set R = 1 ....Ch. 9 - Evaluate the derivative of each current and...Ch. 9 - Consider the circuit depicted in Fig. 9.55. If...Ch. 9 - Prob. 55ECh. 9 - In the circuit shown in Fig. 9.56, (a) obtain an...Ch. 9 - Prob. 57ECh. 9 - For the circuit represented in Fig. 9.57, (a)...Ch. 9 - FIGURE 9.57 Replace the 1 resistor in Fig. 9.57...Ch. 9 - A circuit has an inductive load of 2 H, a...Ch. 9 - (a) Adjust the value of the 3 resistor in the...Ch. 9 - Determine expressions for vC(t) and iL(t) in Fig....Ch. 9 - The capacitor in the LC circuit in Fig. 9.60 has...Ch. 9 - Suppose that the switch in the circuit in Fig....Ch. 9 - The capacitor in the circuit of Fig. 9.63 is set...Ch. 9 - The physical behavior of automotive suspension...Ch. 9 - A lossless LC circuit can be used to provide...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
For the “tank” circuit in Fig. 14.79, find the resonant frequency.
Figure 14.79
For Probs. 14.39, 14.71, and 1...
Fundamentals of Electric Circuits
When travelers from the USA and Canada visit Europe, they encounter a different power distribution system. Wall...
Electric machinery fundamentals
Explain the main function of each of the following major components of a PLC: a. Processor module (CPU) b. I/O ...
Programmable Logic Controllers
Does the severity of an electric shock increase ordecrease with eh of the following changes? a. A decrease in t...
Electric Motors and Control Systems
Write the nodal equations for the network of Fig. 8.137 using the general approach. Find the nodal voltages usi...
Introductory Circuit Analysis (13th Edition)
The current source in the circuit shown generates the current pulse
Find (a) v (0); (b) the instant of time gr...
Electric Circuits. (11th Edition)
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
- A parallel RLC circuit containing a resistance of 1kΩ, an inductance of 142mH and a capacitor of 160uF are connected in series across a 240Vrms, 60Hz supply a. Calculate the impedance of the parallel RLC circuit (Z), and the current drawn from the supply (Is)arrow_forwardAn RLC circuit connected in series has a resistance of 5 ohms, an inductance of0.05 henry, a capacitor of 4 x 10-4farad, and an applied alternating emf of200cos100t volts. Find an expression for the current flowing through this circuit ifthe initial current and initial charge of the capacitor are both zero.arrow_forwardWhy is the following situation impossible? The LC circuit as shown has L = 30.0 μH and C = 50.0 μF. The capacitor has an initial charge of 200 μC. The switch is closed, and the circuit undergoes undamped LC oscillations. At periodic instants, the energies stored by the capacitor and the inductor are equal, with each of the two components storing 250 μJ.arrow_forward
- The resistance, inductance, and capacitance in a parallel RLC circuit are 1900 ohms, 240 mH, and 15 nF,respectively. a) Calculate the roots of the characteristic equation that describe the voltage response ofthe circuit. b) Will the response be over-, under-, or critically damped? c) What value of R will yield adamped frequency of 12 krad/s ? d) What are the roots of the characteristic equation for the value of Rfound in (c)? e) What value of R will result in a critically damped response?arrow_forwardSuppose the input to the circuit is a damped ramp of the form Kte−100t V. Find the largest value of K such that the inductor current does not exceed the 40 mA current ratingarrow_forwardA series RLC circuit has an inductor that has a value 500 mH, the capacitor 25 µF, and the resistor has a value of 400 Ω. They are connected to an ac power supply functioning at frequency 60 Hz. The peak current is 450 mA a) Find Vmax b) Find the angle by which the current leads, or lags, the voltage. Using your result is it leading or lagging? c) How much power is the circuit dissipating on average?arrow_forward
- Consider the RLC circuit above. Assume vs=0 V before t = 0, and then vs=2 V when t > 0. L = 100 mH, C = 6.8 nF. Assume R = 1 kΩ, find the final (steady-state) current through the inductance and voltage across the capacitance, respectively.arrow_forward4. Assume that at the instant the 2A DC current source is applied to the circuit shown below, the initialcurrent in the 39 mH inductor is 1A, and the initial voltage on the capacitor is 50 V (positive at theupper terminal). Find the expression for iL(t) for t ≥ 0 if R equals 12.5 ohms.arrow_forwardFor the circuit below determine: a) vc(0+), iL(0+) b) dvc(0+)/dt , vc(∞) c) Is the circuit Underdamped, Critically Damped or Overdamped?d) Determine the expression for the voltage across the capacitor for t > 0.arrow_forward
- The uncharged capacitor in the circuit is initially switchedto terminal a of the three-position switch. At t=0, the switch is moved toposition b, where it remains for 15 ms. After the 15 ms delay, the switch ismoved to position c, where it remains indefinitely. 1. Derive the numerical expression for the voltage across the capacitor.arrow_forwardCalculate the current in an RLC circuit with resistances R=11 ohms, L=0.1 H, and C=10^-2 F that is linked to the source V(t)= 10sin 377t. Assume that the capacitor charge and current are both zero at time t=0.arrow_forwardAn RC circuit has an emf of 5 V, a resistance of 10 ohms, a capacitance of 10 – 2 F, and initially a charge of 5 C on the capacitor. Find an expression for the charge on the capacitor at any time t. Ans.: q = (1/20)[ 1 + 99e – 10t] coulombsarrow_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,
Capacitors Explained - The basics how capacitors work working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=X4EUwTwZ110;License: Standard YouTube License, CC-BY