Capacitance. PHY2049: Chapter 25 1


 Caitlin Morton
 4 years ago
 Views:
Transcription
1 apacitance PHY049: hapter 5 1
2 oulomb s law Electric fields Equilibrium Gauss law What You Know: Electric Fields Electric fields for several charge configurations Point Dipole (along axes) Line Plane (nonconducting) Plane (conducting) Ring (along axis) Disk (along axis) Sphere ylinder PHY049: hapter 5
3 What You Know: Electric Potential Electric potential energy Electric potential Equipotential surfaces Potential of point charge Potential of charge distribution Special cases: dipole, line, ring, disk, sphere Relationship of potential and electric field alculating the potential from the field alculating the field from the potential Potential energy from a system of charges PHY049: hapter 5 3
4 apacitance: Basic Idea apacitance: apacity to store charge Like a tank apacitor is electrically neutral (equal and charge regions) q = V ( is a property of the device, independent of q, V) Units: [] = Farad = oul/volt PHY049: hapter 5 4
5 alculating Potential Difference Electric field lines start on charges, terminate on V V = E d s Follow E field line during integration (note cosθ = 1) = V V V Eds E, ds positive E d PHY049: hapter 5 5
6 Parallel Plate apacitor From Gauss law (conducting sheet) So q V = Ed = d Aε 0 ε q= 0 A V V d Therefore A = ε0 = ε0 "length" d Depends only on geometry of device E σ = = ε E q Aε 0 0 d PHY049: hapter 5 6
7 Example A = 1m, d = 1 μm A = ε0 = = F d 8.85μF = Largish, but somewhat typical value PHY049: hapter 5 7
8 Inner = a, outer = b, length = L Gauss law: Using λ=q/l ylindrical apacitor E = q π Lε r V = Eds (ds = dr) a q V = Edr = ln b/ a b πlε L = ε 0 π ln b/ a ( ) ( ) b a apacitance per unit length, e.g. coaxial cable (RF frequencies) PHY049: hapter 5 8
9 Special ase for ylinder Outer shell very close to inner shell: b a = d (d small) Use ln(1x) x (for x small) b a d d ln = ln a a a π L π al A = ε0 ε0 = ε0 ln b/ a d d ( ) Just like parallel plate capacitor: Always true if surfaces are close together = ε surface 0 A d PHY049: hapter 5 9
10 Inner radius = a, outer radius = b oulomb s law: V V = a b Eds E = Edr = Spherical apacitor = q 4πε 0 (ds = dr) 0 r 1 q b a 4πε ab b a = ε 0 4π ab b a PHY049: hapter 5 10
11 Two Special ases Isolated sphere: corresponds to b = 4π ab 4π a = ε0 = ε0 ε04πa b a 1 a/ b Outer shell very close to inner shell: b a = d (d small) 4πab 4πa A = ε0 ε0 = ε0 b a d d A = ε0 d Again, just like parallel plate: surface PHY049: hapter 5 11
12 apacitors in Parallel V 1 = V = V 3 (same potential top and bottom) Total charge: Q tot = Q 1 Q Q 3 eq V= 1 V V 3 V eq = 1 3 Basic law for combining capacitors in parallel Works for N capacitors PHY049: hapter 5 1
13 apacitors in Series q 1 = q = q 3 (same current charges all capacitors) Total potential: V = V 1 V V 3 q/ eq = q/ 1 q/ q/ = eq 1 3 Basic law for combining capacitors in series Works for N capacitors PHY049: hapter 5 13
14 onceptest Two identical parallel plate capacitors are shown in an endview in Figure A. Each has a capacitance of. If the two are joined together at the edges as in Figure B, forming a single capacitor, what is the final capacitance? (a) / (b) (c) Area is doubled (d) 0 (e) Need more information A B PHY049: hapter 5 14
15 onceptest Each capacitor is the same in the three configurations. Which configuration has the lowest equivalent capacitance? (1) A () B / (series) (3) (4) They all have identical capacitance A B PHY049: hapter 5 15
16 Energy in a apacitor apacitors have energy associated with them Grab a charged capacitor with two hands and find out! alculate energy ontinually move charge from to surface du = V dq Q Q V = Q / ( / ) 0 U = Q dq= = V U So capacitors store and release energy as they acquire and release charge This energy is available to drive circuits Q = = 1 V 1 PHY049: hapter 5 16
17 Where is the Energy Stored? Answer: Energy is stored in the electric field itself!! Example: Find energy density of two plate capacitor E field is constant u ( A/ d)( Ed) Energy density depends only on E field! U V ε = = = = Ad Ad Ad 0 1 ε 0 A general result, independent of geometry an be shown more generally by Maxwell s equations E u = 1 ε 0 E PHY049: hapter 5 17
18 Example: Spherical harged onductor apacitance: = ε 0 4π R Total energy of spherical conductor: U Q Q = = 8πε 0 R alculate directly: integrate energy density over volume 1 ε 0 4π R u = E U = udv dv = r dr U 1 Q = ε 0 4πr dr = R 4πε0r Q 8πε 0 R hecks! PHY049: hapter 5 18
19 Dielectric Materials and apacitors Insulating material that can be polarized in E field Induced charges κ Dielectric material Induced charges at dielectric surface partially cancel E field E E / κ κ > 1 is dielectric constant V V / κ (since V = Ed) κ (since = Q / V) Good dielectric requires more than high κ value Good insulator (no charge leakage) High breakdown voltage (no arcing at high voltage) Low cost (affordable) PHY049: hapter 5 19
20 Dielectric Mechanism is Due to Polarization E = 0, Dipoles randomly aligned E applied, partially aligns dipoles Aligned dipoles induce surface charges Surface charges partially cancel E field Yow! PHY049: hapter 5 0
21 onceptest Two identical capacitors are given the same charge Q, then disconnected from a battery. After has been charged and disconnected it is filled with a dielectric. ompare the voltages of the two capacitors. Voltage lowered to V/κ (1) V 1 > V () V 1 < V (3) V 1 = V 1 PHY049: hapter 5 1
22 onceptest When we fill the capacitor with the dielectric, what is the amount of work required to fill the capacitor? (1) W > 0 () W < 0 (3) W = 0 Energy lowered to U/κ 1 If U is total energy in capacitor Positive work: One pushes in dielectric ΔU > 0 Negative work: apacitor sucks in dielectric ΔU < 0 PHY049: hapter 5
23 Multistep process apacitors in ircuits 3 in series o ombine & 3 / 1 (3) in parallel eq 1 3 ombine 1 & ( & 3) 3/ o PHY049: hapter 5 3
24 Example: Find q i and V i on All apacitors 1 is charged in position A, then S is thrown to B position Initial voltage across 1 : V 0 = 1 Initial charge on 1 : q 10 = 1 x 4 = 48μ After switch is thrown to B: V 1 = V 3 (parallel branches) q and q 3 in series: q = q 3 = q 3 ( 3 = μf) harge conservation: q 10 = q 1 q 3 48 = 1 V 1 3 V 1 (V 1 = V 3 ) Find V 1 : V 1 = 48 / ( 1 3 ) = 8 V Find q 1 : q 1 = 1 V 1 = 3μ A B 6μF q 3 = q = q 3 = 48 3 = 16μ 1V V = q / =.67 V V 3 = q 3 / 3 = 5.33 V 4μF 3μF PHY049: hapter 5 4
25 Another Example Each capacitor has capacitance 10μF. Find the total capacitance Do it in stages & 3 5 μf Add 4 15 μf Add 5 6 μf Add 1 16 μf PHY049: hapter 5 5
26 Find harges on All apacitors Each capacitor has capacitance 10μF. V = 10 volts q 1 = 10 x 10 = 100μ 345 = 6μF q 345 = q 34 = q 5 (series) q 345 = q 34 = q 5 = 10 x 6 = 60μ V 5 = q 5 / 5 = Find q 4, V 4 V 34 = V 4 = 10 6 = 4 q 4 = 4 x 4 = 40μ 5 Find q, q 3, V, V 3 ( 3 = 5μF) q = q 3 = q 3 = 3 x 4 = 5 x 4 = 0μ V = 0 / = V 3 = 0 / 3 = PHY049: hapter 5 6
Chapter 29. Electric Potential: Charged Conductor
hapter 29 Electric Potential: harged onductor 1 Electric Potential: harged onductor onsider two points (A and B) on the surface of the charged conductor E is always perpendicular to the displacement ds
More informationElectricity and Magnetism. Capacitance
Electricity and Magnetism apacitance Sources of Electric Potential A potential difference can be created by moving charge from one conductor to another. The potential difference on a capacitor can produce
More informationLook over. examples 1, 2, 3, 5, 6. Look over. Chapter 25 section 18. Chapter 19 section 5 Example 10, 11
PHYS Look over hapter 5 section 8 examples,, 3, 5, 6 PHYS Look over hapter 7 section 79 Examples 8, hapter 9 section 5 Example 0, Things to Know ) How to find the charge on a apacitor. ) How to find
More informationChapter 24: Capacitance and Dielectrics
hapter 4: apacitance and Dielectrics apacitor: two conductors (separated by an insulator) usually oppositely charged a + b  ab proportional to charge = / ab (defines capacitance) units: F = / pc4: The
More informationChapter 24: Capacitance and Dielectrics. Capacitor: two conductors (separated by an insulator) usually oppositely charged. (defines capacitance)
hapter 4: apacitance and Dielectrics apacitor: two conductors (separated by an insulator) usually oppositely charged a b  ab proportional to charge / ab (defines capacitance) units: F / pc4: The parallel
More informationGeneral Physics II. Conducting concentric spheres Two concentric spheres of radii R and r. The potential difference between the spheres is
apacitors and Dielectrics The ideas of energy storage in Efields can be carried a step further by understanding the concept of "apacitance" onsider a sphere with a total charge, Q, and a radius, R From
More informationPhysics Electricity and Magnetism Lecture 06  Capacitance. Y&F Chapter 24 Sec. 16
Physics  lectricity and Magnetism Lecture 6  apacitance Y&F hapter 4 Sec.  6 Overview Definition of apacitance alculating the apacitance Parallel Plate apacitor Spherical and ylindrical apacitors apacitors
More informationPhysics Electricity and Magnetism Lecture 06  Capacitance. Y&F Chapter 24 Sec. 16
Physics  lectricity and Magnetism Lecture 6  apacitance Y&F hapter 4 Sec.  6 Overview Definition of apacitance alculating the apacitance Parallel Plate apacitor Spherical and ylindrical apacitors apacitors
More informationChapter 2: Capacitor And Dielectrics
hapter 2: apacitor And Dielectrics In this chapter, we are going to discuss the different ways that a capacitor could be arranged in a circuit and how its capacitance could be increased. Overview apacitor
More informationAP Physics C  E & M. Slide 1 / 39 Slide 2 / 39. Slide 4 / 39. Slide 3 / 39. Slide 6 / 39. Slide 5 / 39. Capacitance and Dielectrics.
Slide 1 / 39 Slide 2 / 39 P Physics & M apacitance and ielectrics 20151205 www.njctl.org Slide 3 / 39 apacitors capacitor is any two conductors seperated by an insulator, such as air or another material.
More informationChapter 25. Capacitance
Chapter 25 Capacitance 1 1. Capacitors A capacitor is a twoterminal device that stores electric energy. 2 2. Capacitance The figure shows the basic elements of any capacitor two isolated conductors of
More informationChapter 2: Capacitors And Dielectrics
hapter 2: apacitors And Dielectrics 2.1 apacitance and capacitors in series and parallel L.O 2.1.1 Define capacitance and use capacitance apacitor is a device that is capable of storing electric charges
More informationiclicker A metal ball of radius R has a charge q. Charge is changed q >  2q. How does it s capacitance changed?
1 iclicker A metal ball of radius R has a charge q. Charge is changed q >  2q. How does it s capacitance changed? q A: C>2 C0 B: C> C0 C: C> C0/2 D: C> C0 E: C>2 C0 2 iclicker A metal ball of
More informationCapacitance and capacitors. Dr. Loai Afana
apacitance and capacitors apacitors apacitors are devices that store energy in an electric field. apacitors are used in many everyday applications Heart defibrillators amera flash units apacitors are
More informationChapter 26. Capacitance and Dielectrics
Chapter 26 Capacitance and Dielectrics Capacitors Capacitors are devices that store electric charge Examples of where capacitors are used include: radio receivers filters in power supplies to eliminate
More informationWhere C is proportionally constant called capacitance of the conductor.
PITNE Page #. INTROUTION capacitor can store energy in the form of potential energy in an electric field. In this chapter well discuss the capacity of conductors to hold charge and energy.. apacitance
More informationAP Physics C. Electric Potential and Capacitance. Free Response Problems
AP Physics C Electric Potential and Capacitance Free Response Problems 1. Two stationary point charges + are located on the yaxis at a distance L from the origin, as shown above. A third charge +q is
More informationPhysics 212. Lecture 8. Today's Concept: Capacitors. Capacitors in a circuits, Dielectrics, Energy in capacitors. Physics 212 Lecture 8, Slide 1
Physics 212 Lecture 8 Today's oncept: apacitors apacitors in a circuits, Dielectrics, Energy in capacitors Physics 212 Lecture 8, Slide 1 Simple apacitor ircuit Q +Q Q Q= Q Battery has moved charge Q
More informationEnergy Stored in Capacitors
Energy Stored in Capacitors U = 1 2 qv q = CV U = 1 2 CV 2 q 2 or U = 1 2 C 37 Energy Density in Capacitors (1) We define the, u, as the electric potential energy per unit volume Taking the ideal case
More informationCAPACITANCE. Capacitor. Because of the effect of capacitance, an electrical circuit can store energy, even after being deenergized.
D ircuits APAITANE APAITANE Because of the effect of capacitance, an electrical circuit can store energy, even after being deenergized. EO 1.5 EO 1.6 EO 1.7 EO 1.8 EO 1.9 DESRIBE the construction of a
More informationCapacitance and Dielectrics. Chapter 26 HW: P: 10,18,21,29,33,48, 51,53,54,68
Capacitance and Dielectrics Chapter 26 HW: P: 10,18,21,29,33,48, 51,53,54,68 Capacitors Capacitors are devices that store electric charge and energy Examples of where capacitors are used include: radio
More informationDefinition of Capacitance
Definition of Capacitance The capacitance, C, of a capacitor is defined as the ratio of the magnitude of the charge on either conductor to the potential difference between the conductors Q C = ΔV The SI
More informationW05D1 Conductors and Insulators Capacitance & Capacitors Energy Stored in Capacitors
W05D1 Conductors and Insulators Capacitance & Capacitors Energy Stored in Capacitors W05D1 Reading Assignment Course Notes: Sections 3.3, 4.5, 5.15.4 1 Outline Conductors and Insulators Conductors as
More informationFriday July 11. Reminder Put Microphone On
Friday July 11 8:30 AM 9:0 AM Catch up Lecture 3 Slide 5 Electron projected in electric field problem Chapter 23 Problem 29 Cylindrical shell problem surrounding wire Show Faraday Ice Pail no chrage inside
More informationChapter 26. Capacitance and Dielectrics
Chapter 26 Capacitance and Dielectrics Circuits and Circuit Elements Electric circuits are the basis for the vast majority of the devices used in society. Circuit elements can be connected with wires to
More informationReading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the Efield.
Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the Efield. 1.! Questions about charging and discharging capacitors. When an uncharged capacitor is connected
More informationSolution to Quiz 2. April 18, 2010
Solution to Quiz April 8, 00 Four capacitors are connected as shown below What is the equivalent capacitance of the combination between points a and b? a µf b 50 µf c 0 µf d 5 µf e 34 µf Answer: b (A lazy
More informationChapter 26. Capacitance and Dielectrics
Chapter 26 Capacitance and Dielectrics Capacitors Capacitors are devices that store electric charge Examples of where capacitors are used include: radio receivers filters in power supplies to eliminate
More informationChapter Electrostatic Potential and Capacitance
Chapter Electrostatic Potential and Capacitance C/ 2 C/2 Ans: Q6. MockTime.com Q1. A 4µF conductor is charged to 400 volts and then its plates are joined through a resistance of 1 kω. The heat produced
More informationUNIT 4:Capacitors and Dielectric
UNIT 4:apacitors an Dielectric SF7 4. apacitor A capacitor is a evice that is capable of storing electric charges or electric potential energy. It is consist of two conucting plates separate by a small
More informationPhysics 202, Exam 1 Review
Physics 202, Exam 1 Review Logistics Topics: Electrostatics + Capacitors (Chapters 2124) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential.
More informationParallel Plate Capacitor, cont. Parallel Plate Capacitor, final. Capacitance Isolated Sphere. Capacitance Parallel Plates, cont.
Chapter 6 Capacitance and Dielectrics Capacitors! Capacitors are devices that store electric charge! Examples of where capacitors are used include:! radio receivers (tune frequency)! filters in power supplies!
More informationCan current flow in electric shock?
Can current flow in electric shock? Yes. Transient current can flow in insulating medium in the form of time varying displacement current. This was an important discovery made by Maxwell who could predict
More informationThis work is licensed under a Creative Commons AttributionNoncommercialShare Alike 4.0 License.
University of Rhode Island DigitalCommons@URI PHY 204: Elementary Physics II Physics Course Materials 2015 07. Capacitors I Gerhard Müller University of Rhode Island, gmuller@uri.edu Creative Commons License
More informationCapacitor: any two conductors, one with charge +Q, other with charge Q Potential DIFFERENCE between conductors = V
Physics 2102 Gabriela González Capacitor: any two conductors, one with charge +Q, other with charge Q Potential DIFFERENCE between conductors = V Units of capacitance: Farad (F) = Coulomb/Volt Q +Q Uses:
More informationTEST 2 3 FIG. 1. a) Find expression for a capacitance of the device in terms of the area A and d, k 1 and k 2 and k 3.
TEST Giving or receiving aid in any examination is cause for dismissal from the university. Perform the necessary calculation in the spaces provided. If additional space is required, use the backs of the
More informationChapter 26: Capacitors
hapter 26: apacitors When a spring mousetrap is set, the work done is stored as spring PE. In a similar fashion, a capacitor (two conducting plates separated by an insulator) is a device that stores EPE.
More informationPhysics Electricity & Opcs Lecture 8 Chapter 24 sec Fall 2017 Semester Professor
Physics 24100 Electricity & Opcs Lecture 8 Chapter 24 sec. 12 Fall 2017 Semester Professor Kol@ck How Much Energy? V 1 V 2 Consider two conductors with electric potentials V 1 and V 2 We can always pick
More informationPhysics 202, Exam 1 Review
Physics 202, Exam 1 Review Logistics Topics: Electrostatics (Chapters 2124.6) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential. Interaction
More informationChapter 24 Capacitance and Dielectrics
Chapter 24 Capacitance and Dielectrics Lecture by Dr. Hebin Li Goals for Chapter 24 To understand capacitors and calculate capacitance To analyze networks of capacitors To calculate the energy stored in
More informationF 13. The two forces are shown if Q 2 and Q 3 are connected, their charges are equal. F 12 = F 13 only choice A is possible. Ans: Q2.
Q1. Three fixed point charges are arranged as shown in Figure 1, where initially Q 1 = 10 µc, Q = 15 µc, and Q 3 = 5 µc. If charges Q and Q 3 are connected by a very thin conducting wire and then disconnected,
More informationChapter 25. Capacitance
Chapter 25 Capacitance 25.2: Capacitance: 25.2: Capacitance: When a capacitor is charged, its plates have charges of equal magnitudes but opposite signs: q+ and q. However, we refer to the charge of a
More informationwhich checks. capacitance is determined entirely by the dimensions of the cylinders.
4.3. IDENTIFY and SET UP: It is a parallelplate air capacitor, so we can apply the equations of Section 4.. EXEUTE: (a) (b) = ε 0 A d (c) V ab so Q V = so 0 ab V ab 6 Q 0. 48 0 = = = 604 V. 45 0 F 3 d
More informationClass 5 : Conductors and Capacitors
Class 5 : Conductors and Capacitors What is a conductor? Field and potential around conductors Defining and evaluating capacitance Potential energy of a capacitor Recap Gauss s Law E. d A = Q enc and ε
More informationChapter 26. Capacitance and Dielectrics
Chapter 26 Capacitance and Dielectrics Capacitors Capacitors are devices that store electric charge Examples of where capacitors are used include: radio receivers filters in power supplies energystoring
More informationExam 1 Solutions. Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1
Exam 1 Solutions Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1 A rod of charge per unit length λ is surrounded by a conducting, concentric cylinder
More informationPhysics Jonathan Dowling. Physics 2102 Lecture 7 Capacitors I
Physics 2102 Jonathan Dowling Physics 2102 Lecture 7 Capacitors I Capacitors and Capacitance Capacitor: any two conductors, one with charge +, other with charge Potential DIFFERENCE etween conductors =
More informationAP Physics C Electricity & Magnetism Mid Term Review
AP Physics C Electricity & Magnetism Mid Term Review 1984 37. When lighted, a 100watt light bulb operating on a 110volt household circuit has a resistance closest to (A) 102 Ω (B) 101 Ω (C) 1 Ω (D)
More informationChapter 24 Capacitance and Dielectrics
Chapter 24 Capacitance and Dielectrics 1 Capacitors and Capacitance A capacitor is a device that stores electric potential energy and electric charge. The simplest construction of a capacitor is two parallel
More informationFREE Download Study Package from website: &
EXERISE * MARK IS MORE THAN ONE ORRET QUESTIONS. SETION A : DEFINITION OF APAIT ITANE A. A. When 0µ charge is given to an isolated conductor of capacitance 5µF. Find out following (i) Potential of the
More informationAgenda for Today. Elements of Physics II. Capacitors Parallelplate. Charging of capacitors
Capacitors Parallelplate Physics 132: Lecture e 7 Elements of Physics II Charging of capacitors Agenda for Today Combinations of capacitors Energy stored in a capacitor Dielectrics in capacitors Physics
More informationCapacitance and Dielectrics
Slide 1 / 39 Capacitance and Dielectrics 2011 by Bryan Pflueger Capacitors Slide 2 / 39 A capacitor is any two conductors seperated by an insulator, such as air or another material. Each conductor has
More informationChapter 18. Circuit Elements, Independent Voltage Sources, and Capacitors
Chapter 18 Circuit Elements, Independent Voltage Sources, and Capacitors Ideal Wire _ + Ideal Battery Ideal Resistor Ideal Capacitor Series Parallel An ideal battery provides a constant potential difference
More informationCapacitors (Chapter 26)
Capacitance, C Simple capacitive circuits Parallel circuits Series circuits Combinations Electric energy Dielectrics Capacitors (Chapter 26) Capacitors What are they? A capacitor is an electric device
More informationChapter 24. Capacitance and Dielectrics Lecture 1. Dr. Armen Kocharian
Chapter 24 Capacitance and Dielectrics Lecture 1 Dr. Armen Kocharian Capacitors Capacitors are devices that store electric charge Examples of where capacitors are used include: radio receivers filters
More informationPhysics (
Exercises Question 2: Two charges 5 0 8 C and 3 0 8 C are located 6 cm apart At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero
More informationPotentials and Fields
Potentials and Fields Review: Definition of Potential Potential is defined as potential energy per unit charge. Since change in potential energy is work done, this means V E x dx and E x dv dx etc. The
More informationCapacitors and more. Lecture 9. Chapter 29. Physics II. Course website:
Lecture 9 Chapter 29 Physics II Capacitors and more Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Lecture Capture: http://echo360.uml.edu/danylov201415/physics2spring.html The
More informationCapacitors and more. Lecture 9. Chapter 29. Physics II. Course website:
Lecture 9 Chapter 29 Physics II Capacitors and more Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Lecture Capture: http://echo360.uml.edu/danylov201415/physics2spring.html The
More informationToday s agenda: Capacitors and Capacitance. You must be able to apply the equation C=Q/V.
Today s agenda: Capacitors and Capacitance. You must be able to apply the equation C=Q/V. Capacitors: parallel plate, cylindrical, spherical. You must be able to calculate the capacitance of capacitors
More informationSharpen thinking about connections among electric field, electric potential difference, potential energy
PHYS 2015  Week 6 Sharpen thinking about connections among electric field, electric potential difference, potential energy Apply the ideas to capacitance and the parallel plate capacitor For exclusive
More informationChapter 20 Electric Potential and Electric Potential Energy
Chapter 20 Electric Potential and Electric Potential Energy 1 Overview of Chapter 20 Electric Potential Energy and the Electric Potential! Energy Conservation! The Electric Potential of Point Charges!
More informationHollow Conductors. A point charge +Q is placed at the center of the conductors. The induced charges are: 1. Q(I1) = Q(I2) = Q; Q(O1) = Q(O2)= +Q
O2 I2 O1 I1 Hollow Conductors A point charge +Q is placed at the center of the conductors. The induced charges are: 1. Q(I1) = Q(I2) = Q; Q(O1) = Q(O2)= +Q 2. Q(I1) = Q(I2) = +Q; Q(O1) = Q(O2)= Q 3.
More information= (series) Capacitors in series. C eq. Hence. Capacitors in parallel. Since C 1 C 2 V 1 Q +Q Q. Vab V 2. C 1 and C 2 are in series
Capacitors in series V ab V + V Q( + C Vab + Q C C C Hence C C eq eq + C C C (series) ) V ab +Q Q +Q Q C and C are in series C V V C +Q Q C eq C eq is the single capacitance equivalent to C and C in
More informationHIGH VOLTAGE TECHNIQUES Basic Electrode Systems (3)
HIGH VOLTAGE TECHNIQES Basic Electrode Systems (3) Assistant Professor Suna BOLAT KRÖGER Eastern Mediterranean niversity Department of Electric & Electronic Engineering 1 Basic electrode systems Different
More informationAgenda for Today. Elements of Physics II. Capacitors Parallelplate. Charging of capacitors
Capacitors Parallelplate Physics 132: Lecture e 7 Elements of Physics II Charging of capacitors Agenda for Today Combinations of capacitors Energy stored in a capacitor Dielectrics in capacitors Physics
More informationCapacitance, Resistance, DC Circuits
This test covers capacitance, electrical current, resistance, emf, electrical power, Ohm s Law, Kirchhoff s Rules, and RC Circuits, with some problems requiring a knowledge of basic calculus. Part I. Multiple
More informationCAPACITORS / CAPACITANCE ECET11
APAITORS / APAITANE  apacitance  apacitor types  apacitors in series & parallel  R ircuit harging phase  R ircuit Discharging phase  R ircuit Steady State model  Source onversions  Superposition
More informationLESSON 2 PHYSICS NOTES
LESSON 2 ELECTROSTATIC POTENTIAL AND CAPACITANCE SECTION I ELECTROSTATIC POTENTIAL ELECTRIC FIELD IS CONSERVATIVE In an electric field work done by the electric field in moving a unit positive charge from
More informationPhysics 212. Lecture 7. Conductors and Capacitance. Physics 212 Lecture 7, Slide 1
Physics 212 Lecture 7 Conductors and Capacitance Physics 212 Lecture 7, Slide 1 Conductors The Main Points Charges free to move E = 0 in a conductor Surface = Equipotential In fact, the entire conductor
More informationUniversity Physics (PHY 2326)
Chapter 23 University Physics (PHY 2326) Lecture 5 Electrostatics Electrical energy potential difference and electric potential potential energy of charged conductors Capacitance and capacitors 3/26/2015
More informationCapacitors And Dielectrics
1 In this small ebook we ll learn about capacitors and dielectrics in short and then we ll have some questions discussed along with their solutions. I ll also give you a practices test series which you
More information12 Electrostatics. Target Publications Pvt. Ltd (1) Chapter 12: Electrostatics. q E = Hints to Problems for Practice
hapter : Electrostatics Electrostatics Hints to Problems for Practice q. N or q N ε ε q 8. 5 8.85 5 µ q q. N or k εk NK 8 7.7 k 5 8.85 8. q 8.85 µ 8.85, l cm m, ε 8.85 /Nm q φ ε 8.85 8.85 Nm /. q µ, r
More informationLecture 20. March 22/24 th, Capacitance (Part I) Chapter , Pages
Lecture 0 March /4 th, 005 Capacitance (Part I) Reading: Boylestad s Circuit Analysis, 3 rd Canadian Edition Chapter 10.16, Pages 894 Assignment: Assignment #10 Due: March 31 st, 005 Preamble: Capacitance
More informationLouisiana State University Physics 2102, Exam 2, March 5th, 2009.
PRINT Your Name: Instructor: Louisiana State University Physics 2102, Exam 2, March 5th, 2009. Please be sure to PRINT your name and class instructor above. The test consists of 4 questions (multiple choice),
More informationElectric Potential. Capacitors (Chapters 28, 29)
Electric Potential. Capacitors (Chapters 28, 29) Electric potential energy, U Electric potential energy in a constant field Conservation of energy Electric potential, V Relation to the electric field strength
More information2014 F 2014 AI. 1. Why must electrostatic field at the surface of a charged conductor be normal to the surface at every point? Give reason.
2014 F 1. Why must electrostatic field at the surface of a charged conductor be normal to the surface at every point? Give reason. 2. Figure shows the field lines on a positive charge. Is the work done
More informationLecture 7. Capacitors and Electric Field Energy. Last lecture review: Electrostatic potential
Lecture 7. Capacitors and Electric Field Energy Last lecture review: Electrostatic potential V r = U r q Q Iclicker question The figure shows cross sections through two equipotential surfaces. In both
More information13  ELECTROSTATICS Page 1 ( Answers at the end of all questions )
3  ELECTROSTATICS Page ) Two point charges 8 and  are located at x = 0 and x = L respectively. The location of a point on the x axis at which the net electric field due to these two point charges is
More informationPhysics 3211: Electromagnetic Theory (Tutorial)
Question 1 a) The capacitor shown in Figure 1 consists of two parallel dielectric layers and a voltage source, V. Derive an equation for capacitance. b) Find the capacitance for the configuration of Figure
More informationPhysics 2B Notes  Capacitors Spring 2018
Definition of a Capacitor Special Case: Parallel Plate Capacitor Capacitors in Series or Parallel Capacitor Network Definition of a Capacitor Webassign Chapter 0: 8, 9, 3, 4, 5 A capacitor is a device
More informationPhysics Lecture: 16 MON 23 FEB Capacitance I
Physics 2113 Jonathan Dowling Physics 2113 Lecture: 16 MON 23 FEB Capacitance I Capacitors and Capacitance Capacitor: any two conductors, one with charge +Q, other with charge Q Potential DIFFERENCE between
More informationChapter 1 The Electric Force
Chapter 1 The Electric Force 1. Properties of the Electric Charges 1 There are two kinds of the electric charges in the nature, which are positive and negative charges.  The charges of opposite sign
More informationEXAM REVIEW ON MONDAY
EXAM REVIEW ON MONDAY 6:5 8:5 PM McCarty A Room G86 By JJ Stankowicz Also, formula sheet has been posted. PHY049: Chapter 5 Capacitance calculation review +q q Why do we always consider only +q and q pairs?
More informationCapacitance. Chapter 21 Chapter 25. K = C / C o V = V o / K. 1 / Ceq = 1 / C / C 2. Ceq = C 1 + C 2
= Chapter 21 Chapter 25 Capacitance K = C / C o V = V o / K 1 / Ceq = 1 / C 1 + 1 / C 2 Ceq = C 1 + C 2 Copyright 252 Capacitance 25.01 Sketch a schematic diagram of a circuit with a parallelplate capacitor,
More informationQuestions A hair dryer is rated as 1200 W, 120 V. Its effective internal resistance is (A) 0.1 Ω (B) 10 Ω (C) 12Ω (D) 120 Ω (E) 1440 Ω
Questions 441 36. Three 1/ µf capacitors are connected in series as shown in the diagram above. The capacitance of the combination is (A).1 µf (B) 1 µf (C) /3 µf (D) ½ µf (E) 1/6 µf 37. A hair dryer is
More informationChapter 6 Objectives
hapter 6 Engr8 ircuit Analysis Dr urtis Nelson hapter 6 Objectives Understand relationships between voltage, current, power, and energy in inductors and capacitors; Know that current must be continuous
More informationPhysics 420 Fall 2004 Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers.
Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers. 1. A charge q 1 = +5.0 nc is located on the yaxis, 15 µm above the origin, while another charge q
More informationLecture 18 Capacitance and Conductance
Lecture 18 Capacitance and Conductance Sections: 6.3, 6.4, 6.5 Homework: See homework file Definition of Capacitance capacitance is a measure of the ability of the physical structure to accumulate electrical
More informationChapter 24: Capacitance and dielectrics
Chapter 24: Capacitance and dielectrics Capacitor: a device store electric energy How to define capacitance In parallel and/or in series Electric energy stored in a capacitor Dielectric materials Capacitor:
More informationHomework. Reading: Chap. 29, Chap. 31 and Chap. 32. Suggested exercises: 29.17, 29.19, 29.22, 29.23, 29.24, 29.26, 29.27, 29.29, 29.30, 29.31, 29.
Homework Reading: Chap. 29, Chap. 31 and Chap. 32 Suggested exercises: 29.17, 29.19, 29.22, 29.23, 29.24, 29.26, 29.27, 29.29, 29.30, 29.31, 29.32 Problems: 29.49, 29.51, 29.52, 29.57, 29.58, 29.59, 29.63,
More informationChapter 24 Capacitance, Dielectrics, Electric Energy Storage
Chapter 24 Capacitance, Dielectrics, Electric Energy Storage Units of Chapter 24 Capacitors (1, 2, & 3) Determination of Capacitance (4 & 5) Capacitors in Series and Parallel (6 & 7) Electric Energy Storage
More informationCapacitance and Dielectrics
Chapter 24 Capacitance and Dielectrics PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 24 To understand capacitors
More information(3.5.1) V E x, E, (3.5.2)
Lecture 3.5 Capacitors Today we shall continue our discussion of electrostatics and, in particular, the concept of electrostatic potential energy and electric potential. The main example which we have
More informationSolution. ANSWERS  AP Physics Multiple Choice Practice Electrostatics. Answer
NSWRS  P Physics Multiple hoice Practice lectrostatics Solution nswer 1. y definition. Since charge is free to move around on/in a conductor, excess charges will repel each other to the outer surface
More informationPhysics (
Question 2.12: A charge of 8 mc is located at the origin. Calculate the work done in taking a small charge of 2 10 9 C from a point P (0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point R (0, 6 cm, 9 cm).
More informationPhysics 196 Final Test Point
Physics 196 Final Test  120 Point Name You need to complete six 5point problems and six 10point problems. Cross off one 5point problem and one 10point problem. 1. Two small silver spheres, each with
More informationC = V Q. To find the capacitance of two conductors:
Capacitance Capacitance is a measure of the ability of two conductors to store charge when a given potential difference is established between them. Two conductors, on one of which is charge +Q and on
More informationPHY102 Electricity Course Summary
TOPIC 1 ELECTOSTTICS PHY1 Electricity Course Summary Coulomb s Law The magnitude of the force between two point charges is directly proportional to the product of the charges and inversely proportional
More informationLesson 3. Electric Potential. Capacitors Current Electricity
Electric Potential Lesson 3 Potential Differences in a Uniform Electric Field Electric Potential and Potential Energy The Millikan OilDrop Experiment Capacitors Current Electricity Ohm s Laws Resistance
More information