Electrical Engineering: Principles & Applications, 7th Edition
7th Edition
ISBN: 9780134485201
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 4, Problem 4.6P
At time
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At time t1 a capacitance C is charged to a voltage of V1. Then, the capacitance discharges through a resistance R. Write an expression for the voltage across the capacitance as a function of time for t> t 1 in terms of R, C, V1 and t1.
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Chapter 4 Solutions
Electrical Engineering: Principles & Applications, 7th Edition
Ch. 4 - Suppose we have a capacitance C discharging...Ch. 4 - The dielectric materials used in real capacitors...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - A 100F capacitance is initially charged to 1000 V....Ch. 4 - At t = 0, a charged 10{ F capacitance is connected...Ch. 4 - At time t1 , a capacitance C is charged to a...Ch. 4 - Given an initially charged capacitance that begins...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - In physics, the half-life is often used to...Ch. 4 - We know that a 50F capacitance is charged to an...
Ch. 4 - We know that the capacitor shown in Figure P4.11...Ch. 4 - The purchasing power P of a certain unit of...Ch. 4 - Derive an expression for vC(t) in the circuit of...Ch. 4 - Suppose that at t= 0, we connect an uncharged 10 F...Ch. 4 - Suppose we have a capacitance C that is charged to...Ch. 4 - A person shuffling across a dry carpet can be...Ch. 4 - Prob. 4.17PCh. 4 - Consider the circuit shown in Figure P4.18. Prior...Ch. 4 - List the steps for dc steady-state analysis of RLC...Ch. 4 - Explain why we replace capacitances with open...Ch. 4 - Solve for the steady-state values of i1, i2, and...Ch. 4 - Consider the circuit shown in Figure P4.22. What...Ch. 4 - In the circuit of Figure P4.23, the switch is in...Ch. 4 - The circuit shown in Figure P4.24 has been set up...Ch. 4 - Solve for the steady-state values of i1 , i2, i3,...Ch. 4 - The circuit shown in Figure P4.26 is operating in...Ch. 4 - Prob. 4.27PCh. 4 - Consider the circuit of Figure P4.28 in which the...Ch. 4 - For the circuit shown in Figure P4.29, the switch...Ch. 4 - Consider the circuit of Figure P4.30 in which the...Ch. 4 - Give the expression for the time constant of a...Ch. 4 - A circuit consists of switches that open or close...Ch. 4 - The circuit shown in Figure P4.33 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.34. The...Ch. 4 - Repeat Problem P4.34 given iL(0)=0A .Ch. 4 - Real inductors have series resistance associated...Ch. 4 - Determine expressions for and sketch is(t) to...Ch. 4 - For the circuit shown in Figure P4.38,, find an...Ch. 4 - The circuit shown in Figure P4.39 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.40. A...Ch. 4 - Due to components not shown in the figure, the...Ch. 4 - The switch shown in Figure P4.42 has been closed...Ch. 4 - Determine expressions for and sketch vR(t) to...Ch. 4 - What are the steps in solving a circuit having a...Ch. 4 - Prob. 4.45PCh. 4 - Solve for vC(t) for t > 0 in the circuit of Figure...Ch. 4 - Solve for v(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.48PCh. 4 - Consider the circuit shown inFigure P4.49. The...Ch. 4 - Consider the circuit shown in Figure P4.50. The...Ch. 4 - The voltage source shown in Figure P4.51 is called...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - How can first-or second-order circuits be...Ch. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Sketch a step response for a second-order system...Ch. 4 - A dc source is connected to a series RLC circuit...Ch. 4 - Repeat Problem P4.61 for R = 40 .Ch. 4 - Repeat Problem P4.61 for R = 20 .Ch. 4 - Prob. 4.64PCh. 4 - Repeat Problem P4.64 for R=50 .Ch. 4 - Repeat Problem P4.64 for R=500 .Ch. 4 - Solve for i(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Use MATLAB to derive an expression for vc(t)in the...Ch. 4 - Prob. 4.72PCh. 4 - Consider the circuit shown in FigureP4.50 in which...Ch. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - Use MATLAB to solve for the mesh currents in the...Ch. 4 - The switch m the circuit shown in Figure T4.1 is...Ch. 4 - Prob. 4.2PTCh. 4 - Consider the circuit shown in Figure T4.3. Figure...Ch. 4 - Consider the circuit shown in Figure T4.4 in which...Ch. 4 - Write the MATLAB commands to obtain the solution...
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- Fill in the blanksadd, capacitance, charge capacity, dielectric, dissipate, electrical circuits, , passive, plates,proximity, storesA capacitor is a 1 …………. two-terminal electrical component that 2 ……… potential energy in anelectric field. The effect of a capacitor is known as 3. …………... While some capacitance exists betweenany two electrical conductors in 4. …………… in a circuit, a capacitor is a component designed to 5.…… capacitance to a circuit. The capacitor was originally known as a condenser.The physical form and construction of practical capacitors vary widely and many capacitor types are incommon use. Most capacitors contain at least two electrical conductors often in the form of metallic 6.………… or surfaces separated by a 7. ………medium. A conductor may be a foil, thin film, or anelectrolyte. The nonconducting dielectric acts to increase the capacitor's 8. ………… ………. Materialscommonly used as dielectrics include glass, ceramic, plastic film, paper, mica, and oxide…arrow_forwardHow does the product rule of differentiation (differential calculus) useful in Capacitance and Capacitors in Series and Parallel Connections?arrow_forwardPlease answer ASAP for like.. Please Asap..arrow_forward
- State the phase relationship between current and voltage for a resistance, for an inductance, and for a capacitance.arrow_forwardA 60 Hz voltage of 230v effective value is impressed on an inductive of 0.265H. a.) Write the time equation for the voltage and the resulting current. Let the zero axis of the voltage wave be at t=0 b.) Show the voltage and current on a phasor diagram. c.) Find the maximum energy stored in the inductance. Please give the step-by-step solution please. Thank you!arrow_forward2.) answer asaparrow_forward
- 6. For a resistor, what resistance corresponds to a short circuit? For an uncharged capacitor, what value capacitance corresponds to a short circuit? Explain your answers. a. Repeat for an open circuit.arrow_forward.?arrow_forwardA charge Q is placed on a capacitor of capacitance C. The capacitor is connected into the circuit shown, with an open switch, a resistor, and an initially uncharged capacitor of capacitance 3C. The switch is then closed, and the circuit comes to equilibrium. In terms of Q and C, find (a) the final potential difference between the plates of each capacitor, (b) the charge on each capacitor, and (c) the final energy stored in each capacitor. (d) Find the internal energy appearing in the resistor.arrow_forward
- Derive the equivalent circuit for a parallel connection of ideal capacitors. Assume that the initial voltage across the paralleled capacitors is v(t0). (Hint: Sum the currents into the string of capacitors, recognizing that the parallel connection forces the voltage across each capacitor to be the same.)arrow_forwardIn the definition given below, mark the most appropriate option that will come to the space. When capacitors are examined in terms of DC ................................. circuit is accepted. A-Closed B-Long C-All D-Short E-Openarrow_forwardWhen we talk about capacitance of capacitor we normally say that capacitance depends on the size, shape, and position of the two capacitors and dielectric constant K. What then did we mean when we say that capacitance is constant in the equation Q = CV?arrow_forward
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