Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 4, Problem 4.8P
The initial voltage across the capacitor shown in Figure P4.3 is
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The plot of time-dependent voltage is shown inFigure P4.12. The waveform is piecewise continuous.If this is the voltage across a capacitor and C = 80 μF,determine the current through the capacitor. How cancurrent flow “through” a capacitor?
The initial voltage across the capacitor shown in Figure P4.3 is v C ( 0+ )=0. Find an expression for the voltage across the capacitor as a function of time, and sketch to scale versus time
We know that the capacitor shown in Figure P4.11 is charged to a voltage of 10 V priorto t=0.a. Find expressions for the voltage across the capacitor vC(t) and the voltage across theresistor vR(t) for all time.b. Find an expression for the power delivered to the resistor.c. Integrate the power from t=0 to t=∞ to find the energy delivered.d. Show that the energy delivered to the resistor is equal to the energy stored in thecapacitor prior to t=0.
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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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
- For the circuit shown in Figure (4.a): i) Find the voltage across the capacitor in polar form. ii) Draw the phasor diagram relationship of Vc and Vs. iii) Is this circuit pre-dominantly inductive or capacitive? Why?arrow_forwardIf the waveform shown in Figure P4.15 is thevoltage across a capacitor plotted as a function of timewithvPK = 20V, T = 40 μs, C = 680nFdetermine and plot the waveform for the currentthrough the capacitor as a function of time.arrow_forwardDescribe the behavior of the capacitor voltage withtime as the capacitor charges. Explain the reason for this behavior.arrow_forward
- The voltage waveform shown in Figure P4.24appears across a 100-mH inductor and a 500-μFcapacitor. Plot the capacitor and inductor currents,iC(t) and iL(t), assuming iL(0) = 0A.arrow_forwardThe capacitor behaves as an open circuit to a DC source. Why? How does the inductor behave to a DC source? Please explain in great detail.arrow_forwarda. Show how you would connect all five capacitors to get a maximum capacitance and find the maximum capacitance in terms of C. b. Show how you would connect all five capacitors to get a minimum capacitance and find the minimum capacitance in terms of C.arrow_forward
- Use the defining law for a capacitor to find the current iC(t) corresponding to the voltage shown in Figure P4.27. Sketch your result.arrow_forwardhow do i calculate the inverse capacitance and its uncertainty if the capacitance value 1.8748+/- 0.0006. please show steps im using this example to do my other values.arrow_forwardCan you also answer this? Please do the last question. Stated construct a graph of time versus current and voltage across the capacitor. The graph is computerized. Will get a like.arrow_forward
- When 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_forwardP4.11. We know that the capacitor shown in Figure P4.11 O is charged to a voltage of 10 V prior to t a. Find expressions for the voltage across the capacitor vc(t) and the voltage across the resistor vR(t) for all time. b. Find an expression for the power delivered to the resistor. c. Integrate the power from t = 0 to t = ∞ to find the energy delivered. 0. d. Show that the energy delivered to the resistor is equal to the energy stored in the capacitor prior to t = 0. t = 0 R = 100 N 100 μF UR(1)arrow_forwardThe initial voltage across the capacitor shown in Figure P4.3 is v C ( 0+ )=−10 V. Find anexpression for the voltage across the capacitor as a function of time. Also, determine the time t0at which the voltage crosses zero.arrow_forward
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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