Electrical Engineering: Principles & Applications Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780134712871
Author: Allan R. Hambley
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 3.32P
A 100-pF capacitor is constructed of parallel plates of metal, each having a width Wand a length L. The plates are separated by air with a distance d Assume that L and Ware both much larger than d. What is the new capacitance if
- both L and Ware doubled and the other parameters are unchanged
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 100-pF capacitor is constructed of parallel plates of metal, each having a width W anda length L. The plates are separated by air with a distance d. Assume that L and W are bothmuch larger than d. What is the new capacitance ifa. both L and W are doubled and the other parameters are unchanged?b. the separation d is doubled and the other parameters are unchanged from their initialvalues? c. the air dielectric is replaced with oil having a relative dielectric constant of 25 and theother parameters are unchanged from their initial values ?
1. Calculate the capacitance between two parallel plates, each of which is 100 sq. Inches and 2 mm
apart in air.
2. A capacitor is charged with 0.23 J of energy at a voltage of 48V. What is its capacitance?
3. A 50-uF capacitor is initially charged. Determine the initial charge of the 50-uF capacitor if the
charge transferred to a 100-uF capacitor, when connected in parallel, is 200-uC.
Two capacitors are in series with a voltage source of 15 V. If the capacitors are rated at 10 μF and 5 μF respectively, calculate:
Equivalent capacitance
Equivalent charge, Q1 , and Q2
V1 and V2
Chapter 3 Solutions
Electrical Engineering: Principles & Applications 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...
Knowledge Booster
Learn more about
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
- A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted between the plates without changing the spacing, and the capacitance becomes 15 F. What is the dielectric constant of this material?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
- 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_forwardYou are a journeyman electrician working in an industrial plant. Your task is to connect an inductor to a 480-V, 60-Hz line. To determine the proper conductor and fuse size for this installation, you need to know the amount of current the inductor will draw from the line. The nameplate on the inductor indicates that it has an inductance of 0.1 H. An ohmmeter reveals that it has a wire resistance of 10 . How much current should this inductor draw when connected to the line?arrow_forwardFill in all the missing values. Refer to the formulas that follow. Resistance Capacitance Time constant Total time 150 k 100 F 350 k 35 s 350 pF 10 s 0.05 F 1.2 M 0.47 F 12F 0.05 s 86 k 1.5 s 120 k 470 pF 250 nF 100 ms 8 F 150 s 100 k 150 ms 33 k 4 F =RCR=CC=R Totaltime=5arrow_forward
- 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_forwardAn initially uncharged parallel plate capacitor is connected to a circuit containing a battery with emf &=48 V and a resistor, R=2.2MΩ as shown in the figure to below. The capacitor whose plates have an area of A=6.9 mm2 are separated by a distance of d=3.5 mm and one third of the capacitor is filled with a dielectric material, κ1=3.2 and the rest (two thirds) is filled with another dielectric material, κ2=6.5. At t=0 the switch is closed 2.7 seconds after the switch is closed the electric. field within the first dielectric material (κ1) is observed to be 6×103 N/C. Find the potential difference across the capacitor at this instant (t=2.7 s) in terms of permitivity of free spaceϵ? Express your answer using zero decimal place.arrow_forwardA large capacitor of 1000 μF is charged by a steady current of 1 mA until it reaches a voltage of100 V. At that voltage, the charging circuit is disconnected. a) Calculate how long the charging takes. b) A 10 kΩ resistor is connected across the capacitor to discharge it. Sketch a graph of the current I in the resistor as a function of time, with appropriate numbers and units marked on the axes.arrow_forward
- Two coaxial conducting cylinders of radius 2 cm and 8 cm have a length of 1.42m. The region between the cylinders contains a layer of dielectric from ρ = 3 to ρ = 7 with εR = 14. Find the capacitance in pF.arrow_forward5. A cylindrical capacitor with a length of 5 cm, the radius of the inner cylinder is 1 cm and the radius of the outer cylinder is 3 cm. The space between the two cylindrical plates is filled with a dielectric material with a dielectric constant K. a. Determine the dielectric constant K that must be used, so that the capacitance of the capacitor is 25 x10-12F.b. Determine the minimum number of capacitors required to store a potential energy of 2.88 x 10 Joules, if the capacitor circuit is given 24 Volt potential (explain how to network these capacitors)C. LEAB is the charge stored in the capacitor circuitarrow_forwardAt a potential of 7000 V, a simple parallel-plate capacitor will be built to store charge. The capacitor has a separation distance of 0.21 mm between plates and a plate area of 0.030m2.The dielectric constant of a material with a dielectric constant of 6.5 is positioned.in the space between the plates Compute the capacitance of the capacitor and compute the magnitude of the charge stored on each plate.Then,If the capacitance in above has to be increased, choose one acceptable dielectric material from Table 2 below to use between the plates.Justify your mathematical decision.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
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