Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.15P
A constant (dc) current
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In the circuit shown in the following figure(Figure 1) the capacitor has
capacitance 19μF and is initially uncharged. The resistor Ro has
resistance 11 2. An emf of 84.0 V is added in series with the capacitor
and the resistor. The emf is placed between the capacitor and the switch,
with the positive terminal of the emf adjacent to the capacitor. The small
circuit is not connected in any way to the large one. The wire of the small
circuit has a resistance of 1.1 /m and contains 25 loops. The large
circuit is a rectangle 2.0 m by 4.0 m, while the small one has dimensions
a = 13.0 cm and b = 18.0 cm. The distance c is 5.0 cm. (The figure is
not drawn to scale.) Both circuits are held stationary. Assume that only the
wire nearest the small circuit produces an appreciable magnetic field
through it.
Part A
The switch is closed at t = 0. When the current in the large circuit is 4.70 A, what is the magnitude of the induced current in the small circuit?
Express your answer with the appropriate…
Find the charge on each of the capacitors in the figure below.
A rectangular circuit contains a battery and four capacitors. A 24.0 V battery is on its left side, where the positive terminal is above the negative terminal. Its right side splits into two parallel vertical branches below the top right corner of the circuit, where there is a 1.00 µF capacitor on the left branch and a 5.00 µF capacitor on the right branch. The branches recombine, the side continues down, and then splits again into two parallel vertical branches. There is an 8.00 µF capacitor on the left branch and a 4.00 µF capacitor on the right branch. These branches then recombine and the side continues down to reach the bottom right corner of the circuit.
1.0-µF capacitor
5.0-µF capacitor
8.0-µF capacitor
4.0-µF capacitor
Using the series circuit in Figure 3
consisting of a voltage source V, the
resistor R and the fully uncharged
capacitor C, how to find the value of
the capacitance C considering as
known data the time constant of the
circuit T and the value of the resistor
R?
V
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R
Chapter 3 Solutions
Electrical Engineering: Principles & Applications (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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- You are an electrician working in an industrial plant. You discover that the problem with a certain machine is a defective capacitor. The capacitor is connected to a 240-volt AC circuit. The information on the capacitor reveals that it has a capacitance value of 10 mF and a voltage rating of 240 VAC. The only 10-mF AC capacitor in the storeroom is marked with a voltage rating of 350 WVDC. Can this capacitor be used to replace the defective capacitor? Explain your answer.arrow_forwardThree capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 - Hz power line. An ammeter indicates a circuit current of 8.6 amperes. How much current is flowing through the 40F capacitor?arrow_forwardYou are working in an industrial plant. You have been instructed to double the capacitance connected to a machine. The markings on the capacitor, however, are not visible. The capacitor is connected to 560 volts and an ammeter indicates a current of 6 amperes flowing to the capacitor. What size capacitor should be connected in parallel with the existing capacitor? What is the minimum AC voltage rating of the new capacitor? What is the minimum DC voltage rating of the new capacitor? What is the minimum KVAR size that can be used in this installation?arrow_forward
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- The circuit in Figure has been connected for a long time. If the battery is disconnected, how does it take the capacitor to discharge to 1/20 of its initial voltage? Take R₁ = 2.00 Q, R₂=4.00 Q, R3-7.00 Q, R4 = 2.00 Q and C= 5.00 uF and ε = 14.0 V. (Your result must be in us. Include 2 digit after the decimal point and maximum of 2% of error is accepted in your answer.) E R₂ R₂ BAarrow_forwardFive capacitors are connected across a potential difference Vab as shown in the figure. Because of the dielectrics used, each capacitor will break down if the potential across it exceeds 30.0 V. The largest that Vab can be without damaging any of the capacitors is closest to 15 µF 45 µF a Vab 5.0 µF 10.0 µF 25 µFarrow_forwardSwitch S in in the figure is closed at time t = 0, to begin charging an initially uncharged capacitor of capacitance C= 17.9 µF through a resistor of resistance R = 22.7 Q. At what time is the potential across the capacitor equal to that across the resistor? Number i Units S R Carrow_forward
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