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 3.3P
What current flows through an ideal capacitor if the voltage across the capacitor is constant with time? To what circuit element is an ideal capacitor equivalent in circuits for which the currents and voltages are constant with time?
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What current flows through an ideal capacitor if the voltage across the capacitor is constant with time? To what circuit element is an ideal capacitor equivalent in circuits for which the currents and voltages are constant with time?
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…
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?
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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- When the capacitor is charged current flows on either side of the capacitor. Do electrons cross the gap to allow the current on the other side of the circuit?(b) Is charging and discharging time of capacitor equal in a theoretical RC circuit?Plase explain your answer by using relating formula.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_forwardPlease answer ASAP for like.. Please Asap..arrow_forward
- How does the product rule of differentiation (differential calculus) useful in Capacitance and Capacitors in Series and Parallel Connections?arrow_forwardThe current shown below is applied to a 0.25??capacitor. The initial voltage on the capacitor is zero.a) Find the charge on the capacitor at ?=15??.b) Find the voltage on the capacitor at ?=30??c) How much energy is stored in the capacitor by this current?arrow_forwardWhat is the step response equations for Capacitor, and inductor?arrow_forward
- In 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_forwardThe equation of the charge on the capacitor at any time t for an LRC series circuits is givenas a) Assume there is no initial charge and current, sketch the graph of the charge. b) What happen to the charge after a long time? c) State the transient and the steady state terms.arrow_forward6. 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
- 12arrow_forwarda) Define Potential Gradient? b) Write any four name of the practical types of capacitor? c) How do you discharge the capacitor?arrow_forwardOptional practice problems: 1) The figure below shows a parallel-plate capacitor that is connected to a battery (assume negligible resistance in the wires that connect the capacitor to the battery). a) While the battery is still charging the capacitor, rank the potential at points A-E, from lowest to highest BC D E b) After the capacitor is fully charged, rank the potential at points A-E, from lowest to highest. c) The battery is now disconnected from the capacitor and a piece of dielectric material is inserted between the plates. Is the potential difference between points A and E, than, the same as or larger than the potential difference across the battery? Explain your smaller reasoningarrow_forward
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