Electrical Engineering: Principles & Applications, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780134702193
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 3, Problem 3.13P
A current given by
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The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions thatdescribe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive theexpressions for the capacitor current, power, and energy for the time intervals in part (a).
Chapter 3 Solutions
Electrical Engineering: Principles & Applications, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
Ch. 3 - What is a dielectric material? Give two examples.Ch. 3 - Briefly discuss how current can flow “through” a...Ch. 3 - What current flows through an ideal capacitor if...Ch. 3 - Describe the internal construction of capacitors.Ch. 3 - A voltage of 50 V appears across a 10F capacitor....Ch. 3 - A 2000F capacitor, initially charged to 100V, is...Ch. 3 - A 5F Capacitor ischarged to 1000 V. Determine the...Ch. 3 - The voltage across a 10F capacitor is given by v...Ch. 3 - The voltage across a 1F capacitor is given by...Ch. 3 - Prior to t = 0, a 100F capacitance is uncharged...
Ch. 3 - The current through a 0.5F capacitor is shown in...Ch. 3 - Determine the capacitor voltage, power, and stored...Ch. 3 - A current given by i(t)=Imcos(t) flows through a...Ch. 3 - The current through a 3F capacitor is shown in...Ch. 3 - A constant (dc) current i(t)=3 mA flows into a 50F...Ch. 3 - The energy stored in a 2F capacitor is 200 J and...Ch. 3 - At t=t0 the voltage across a certain capacitance...Ch. 3 - An unusual capacitor has a capacitance that is a...Ch. 3 - For a resistor, what resistance corresponds to a...Ch. 3 - Suppose we have a very large capacitance (ideally,...Ch. 3 - We want to store sufficient energy in a 001-F...Ch. 3 - A 100F capacitor has a voltage given by v(t)=1010...Ch. 3 - How are capacitances combined in series and in...Ch. 3 - Find the equivalent capacitance for each of the...Ch. 3 - Find the equivalent capacitance between terminals...Ch. 3 - A network has a 5F capacitance in series with the...Ch. 3 - What are the minimum and maximum values of...Ch. 3 - Two initially uncharged capacitors C1=15F and...Ch. 3 - Suppose that we are designing a cardiac pacemaker...Ch. 3 - Suppose that we have two 100F capacitors One is...Ch. 3 - Determine the capacitance of a parallel-plate...Ch. 3 - A 100-pF capacitor is constructed of parallel...Ch. 3 - We have a parallel-plate capacitor with plates of...Ch. 3 - Suppose that we have a 1000-pF parallel-plate...Ch. 3 - Two 1F capacitors have an initial voltage of 100 V...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - A parallel-plate capacitor is used as a vibration...Ch. 3 - A 0.1F capacitor has a parasitic series resistance...Ch. 3 - Prob. 3.40PCh. 3 - Briefly discuss how inductors are constructed.Ch. 3 - The current flowing through an inductor is...Ch. 3 - If the current through an ideal inductor is...Ch. 3 - Briefly discuss the fluid-flow analogy for an...Ch. 3 - The current flowing through a 2-H inductance is...Ch. 3 - The current flowing through a 100-mH inductance is...Ch. 3 - The current flowing through a 2-H inductance is...Ch. 3 - The voltage across a 2-H inductance is shown in...Ch. 3 - The voltage across a 10 H inductance is given by...Ch. 3 - A 2-H inductance has i(0) = 0 and v(t)=texp(t) for...Ch. 3 - A constant voltage of 10V is applied to a 50H...Ch. 3 - At t = 0, the current flowing in a 05-H inductance...Ch. 3 - The current through a 100-mH inductance is given...Ch. 3 - Prior to t= 0, the current in a 2-H inductance is...Ch. 3 - At t= 0, a constant 5-V voltage source is applied...Ch. 3 - Prob. 3.56PCh. 3 - Al t= 5 s, the energy stored in a 2-H inductor is...Ch. 3 - What value of inductance (having zero initial...Ch. 3 - To what circuit element does a very large...Ch. 3 - The voltage across an inductance L is given by...Ch. 3 - Discuss how inductances are combined in series and...Ch. 3 - Determine the equivalent inductance for each of...Ch. 3 - Find the equivalent inductance for each of the...Ch. 3 - What is the maximum inductance that can be...Ch. 3 - Suppose we want to combine (in series or in...Ch. 3 - Prob. 3.66PCh. 3 - Two inductances L1=1H and L2=2H are connected in...Ch. 3 - A 10-mH inductor has a parasitic series resistance...Ch. 3 - Draw the equivalent circuit for a real inductor,...Ch. 3 - Suppose that the equivalent circuit shown in...Ch. 3 - Consider the circuit shown in Figure P3.71 in...Ch. 3 - The circuit shown in Figure P3.72 has...Ch. 3 - Describe briefly the physical basis for mutual...Ch. 3 - The mutually coupled inductances in Figure P3.74...Ch. 3 - Repeat Problem P3.74 with the dot placed at the...Ch. 3 - a. Derive an expression for the equivalent...Ch. 3 - Consider the parallel inductors shown in Figure...Ch. 3 - Consider the mutually coupled inductors shown in...Ch. 3 - Mutually coupled inductances have...Ch. 3 - The current through a 200-mH inductance is given...Ch. 3 - A 1-H inductance has iL(0)=0 and vL(t)=texp(t) for...Ch. 3 - The current flowing through a 10F capacitor having...Ch. 3 - Determine the equivalent capacitance Ceq for...Ch. 3 - A certain parallel-plate capacitor has plate...Ch. 3 - A 2-mH inductance has iab=0.3sin(2000t)A . Find an...Ch. 3 - Determine the equivalent inductance Leq between...Ch. 3 - Given that vc(t)=10sin(1000t)V , find vs(t)in the...Ch. 3 - Prob. 3.7PTCh. 3 - The current flowing through a 20F capacitor having...
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- 27. A phasor can be represented or expressed in either rectangular form (x +j y) or polar form (z cis n) True False 28. By convention, values obtain from time domain representation are always real while in phasor domain representation, values are generally expressed in complex form. True False 31. Value of capacitance is usually affected by the following physical dimensions and construction of a capacitor: such as number of turns, its length, its cross-sectional area and the permeability of the core. True Falsearrow_forwardThe voltage pulse applied to the 100 mH inductor shown is 0 for t<0. and is given by the expression v(t)=20te−10t V for t>0. Also assume i=0 for t≤0. Sketch the voltage as a function of time.arrow_forwardLet Vs=530tᶾ v, leg t >0 and iL (0) = 1 A, in the circuit shown, at t=0.2s, determine the values of the energy stored in the capacitor and the coil. The circuit is in the attached image.arrow_forward
- Can you please help with this question? The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions thatdescribe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive theexpressions for the capacitor current, power, and energy for the time intervals in part (a).arrow_forward. If a 4μF capacitor is connected to a constant current source, therefore its current is given in the equation ic(t)=10mA. Determine the voltage, power and energy at 2ms.arrow_forwardAll capacitors were initially discharged. at t = 0, S1 is placed at position 1 and S2 is closed. During this phase, it has been determined that Eth and Rth seen by the equivalent capacitor are, respectively, 20 V and 6.0 kΩ. The time constant is 29 ms. At t = 15 ms, S1 is placed at position 2 and S2 is kept closed. Calculate the equivalent capacitor voltage vT at t = 15 ms. Enter your answer in V rounded to 2 decimal places. At t = 25 ms, S1 is kept at position 2 and S2 is opened. Data: R1 = 5 kΩ, R2 = 3 kΩ, R4 = 2 kΩ, R5 = 20 kΩ, R6 = 12.0 kΩ;arrow_forward
- 3. Write the equation for capacitor voltage, v(t)=V0e−t/τ, for t≥0arrow_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 an inductance L is given by v( t )= V m cos( ωt ). The current is zero at t=0 .Suppose that is very large ideally, approaching infinity. For this voltage, does the inductance approximate either an open or a short circuit? Explain.arrow_forward
- An inductance of 1 H, a resistance of 8 Ω and capacitance of 0.04 F are connected in series with a variable voltage E = 50 sin 3t. Find the current and charge in the system, given the initial conditions q = 0 and l = 0 when t = 0, using method of solution of higher order linear ordinary differential equation.arrow_forwardPlease provide the complete solution. Topic: Application of DEA circuit has in series of electromotive force given by E(t) = 100 sin 60t V, a resistor of 2 Ω, an inductor of 0.1 H, and a capacitor of 1/260 farads. If the initial current and the initial charge on the capacitor are both zero coulombs, find the charge on the capacitor at any time t > 0.arrow_forwardConsider the given circuit. The switch has been closed for a very long time before opening at t=0s. Determine the capacitor voltage (in volts) right before the switch has been opened, the time constant of the circuit for t>0 (in ms), and the expression for the capacitor voltage for t≥0.arrow_forward
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