Concept explainers
Charge-Storage Device
A capacitor is a two-terminal device that can store electric charge. In a linear capacitor, the amount of charge stored is proportional to the voltage across the device. For a particular device the proportionality is
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
- The voltage across a 2µF capacitor is shown in Fig. Determine the waveformfor the capacitor current (a) Find mathematical expression of v(t) for 0 ≤ t ≤ 2 (b) Find mathematical expression of v(t) for 2 ≤ t ≤ 6arrow_forwardThe current flowing through a 10-μF capacitor having terminals labeled a and b is i ab =0.3 exp( −2000t ) Afor t≥0 Given that v ab ( 0 )=0, find an expression for v ab (t) for t≥0. Then,find the energy stored in the capacitor for t=∞..arrow_forwardThe voltage across a 2µF capacitor is shown in Fig. Determine the waveformfor the capacitor current (a) Find mathematical expression of v(t) for 0 ≤ t ≤ 2 (b) Find mathematical expression of v(t) for 2 ≤ t ≤ 6 (c) Draw the waveform for the capacitor current.arrow_forward
- * If the current through a 5 mH inductor is increasing at 3 A/s, what is the voltage across the inductor? * The current in an 8 µH inductor is given by i(t) = 3t + 2 A. What is the value of the inductors voltage at t = 2 s.arrow_forwardA capacitor with a capacitance of 32 microfarads is discharged through a resistance of 53 kilo-ohms. How many milliseconds does it take for the voltage to drop to 1/e of its initial value. Here "e" is the base of natural logarithms, about 2.718 .arrow_forwardFind Leq between the terminals a,b for the circuits shown below. Assuming the initial energy stored in the inductors is zero.arrow_forward
- In response to a change introduced by a switch at t = 0, the current flowing through a 100 μF capacitor, defined in accordance with the passive sign convention, was observed to be i(t) = −0.4e−0.5t mA (for t > 0). If the final energy stored in the capacitor (at t = ∞) is 0.2 mJ, determine υ(t) for t ≥ 0.arrow_forwardQ2 \ The reproduction of cells in a bacterial colony is important for many environmental engineering applications such as wastewater treatments. The formula log(N) = log(N0) + t / T log(2) can be used to simulate this, where N0 is the original population, N is the population at time t, and T is the time it takes for the population to double. Using VB.net, write a program to calculate the value of T.arrow_forward2. 7.22 The switch in the circuit has been in the left positionfor a long time. At t=0 it moves to the right position and stays there. 1. a) Write the expression for the capacitor voltage, v(t), for t≥0arrow_forward
- 1. Theoretically calculate the voltage across the capacitor in the circuit of Figure 1 when t = 0 s, 5 s, 10 s, 20 s, 30 s, 40 s, and 60 s, assuming that the circuit is under DC conditions when t < 0 s and the switch is opened at t = 0 s. 2. Compare the calculated voltage at t = 20 s with the experimentally measured ∆?.arrow_forwardA 3.0 MΩ resistor and a 1.0 μF capacitor are connected in series with an ideal battery that has an emf E = 5.0 V. After 1.0 s after the initial connection is made, find the rate at which(a) the charge on the capacitor is increasing (inC/s),(b) energy is being stored in the capacitor (inJ/s),(c) thermal energy is appearing in the resistor (inJ/s), and (d) energy is being delivered by the battery (inJ/s).arrow_forwardThe switch in Fig. is moved from A to B att 0 after being at For a long time. This places the two capacitors in series, thus allowing equal and opposite 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 the time constant of VR(t). (d) Find vR(t), t> 0. (e) Find i(t). () Find vi(t) and v2(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 energy stored in the capacitors at t=0arrow_forward
- 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,