# Agenda for Today. Elements of Physics II. Capacitors Parallel-plate. Charging of capacitors

Size: px
Start display at page:

Download "Agenda for Today. Elements of Physics II. Capacitors Parallel-plate. Charging of capacitors"

Transcription

1 Capacitors Parallel-plate 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 201: Lecture 1, Pg 1

2 Clicker Question 1: Metal wires are attached to the terminals of a 3 V battery. What is the potential difference between points 1 and 2? A. 6V. B. 3 V. C. 0 V. D. Undefined. E. Not enough information to tell. If there is a potential difference, a charge will feel a force A conductor has roughly an infinite number of free charges Therefore, a conductor in equilibrium is an equipotential. Physics 201: Lecture 1, Pg 2

3 How Capacitor works When a voltage is applied over a capacitor it will become charged. Circuit is open, and there is no charge on capacitor Battery Physics 201: Lecture 1, Pg 3

4 How Capacitor works When circuit is closed and a voltage is applied capacitor quickly becomes charged. -Q V C = 12 V +Q Battery Potential difference is same as battery!! Electrons effectively y travel from one plate V B = 12 V to the other plate! Physics 201: Lecture 1, Pg 4

5 How Capacitor works What happens after capacitor is fully charged? No more charges flowing!!!! Charge is ready to be -Q +Q used Battery Student: Why is the electric potential ti difference between the capacitors the same as the battery? Physics 201: Lecture 1, Pg 5

6 How Capacitor works -Q +Q Battery Student: when the circuit is closed, is the light bulb just "blink"? or it will shine for a while? Can deliver energy faster than a battery Cannot hold as much energy as a similar-sized battery Physics 201: Lecture 1, Pg 6

7 Definition of Capacitance Capacitance: The ratio of the charge on one conductor to the potential difference between conductors C Q V Units: Farad (F) Capacity to hold charge The larger the capacitance, the more charge can be stored with a certain potential difference. Student: Does capacitor have similar role as resistance? Student: Is there any difference in using V or (delta)v for potential difference? (the textbook uses both from time to time) Physics 201: Lecture 1, Pg 7

8 Parallel Plate Capacitor Capacitance of PP can be found: ε C Nm 2 A is area of plate 0 is permittivity of free space d is distance of separation Plates with more area have bigger C!! Closer plates have bigger C!! C ε0 A d Physics 201: Lecture 1, Pg 8

9 How Capacitor works -Q +Q Battery Physics 201: Lecture 1, Pg 9

10 C ε0 How Capacitor works A 0 Closer plates = Larger E-field d -Q - +Q Battery Larger E-field = More Charge Physics 201: Lecture 1, Pg 10

11 Clicker Question 2: A parallel-plate capacitor initially has a voltage of 400 V and stays connected to the battery. If the plate spacing is now doubled, what happens? a) the voltage decreases b) the voltage increases c) the charge decreases 400V d) the charge increases e) both voltage and charge change C Physics 201: Lecture 1, Pg 11

12 Dielectrics in Capacitors Insulating sheets called dielectrics are sometimes placed between the plates of a capacitor This allows for the plates to be closer together thus having a larger capacitance (without electrons flowing between) So we get a new relation for the capacitance of PP when a dielectric is between the plates: A C κε 0 d is dielectric constant Physics 201: Lecture 1, Pg 12

13 Dielectrics in Capacitors Electric field when capacitor is charged When a dielectric is added it polarizes This makes an E-field that partially cancels the original E-field. Allows same charge to be held on the capacitor with smaller potential, thus capacitance is increased th t ti ll l th Student: If a battery remains attached to a capacitor with a dielectric in it, would the voltage still decrease? Physics 201: Lecture 1, Pg 13

14 Capacitors in Series and Parallel Physics 201: Lecture 1, Pg 14

15 Capacitors in Parallel -Q +Q 2 2 Total charge is increased! Potential difference is same for both! -Q 1 +Q 1 Battery C eq = C 1 + C 2 Two capacitors don t y effect ec each other Physics 201: Lecture 1, Pg 15

16 Capacitors in Series This time the capacitors will effect each other Potential difference of capacitors adds up to that of battery -Q +Q-Q +Q 1 C eq 1 C 1 1 C 2 Battery Charge must be equal Physics 201: Lecture 1, Pg 16

17 Summary: Capacitors in Series and Parallel C eq V Q Series V Q = Q eq = V 1 + V Parallel C eq = C 1 + C 2 V 1 = V 2 Q eq = Q 1 + Q 2 Physics 201: Lecture 1, Pg 17

18 PCQ: Find the equivalent capacitance of these capacitors. Physics 201: Lecture 1, Pg 18

19 Clicker Question 3: Find the equivalent capacitance of these capacitors. (a) 10.4 F (b) 13 F (c) 4.44 F (d) 6 F (e) 12.4 F Physics 201: Lecture 1, Pg 19

20 Clicker Question 3: Find the equivalent capacitance of these capacitors. Physics 201: Lecture 1, Pg 20

21 Clicker Question 4/Example: What is the voltage across the 6 μf capacitor? (a) (b) (c) (d) (e) 10 V 12 V 18 V 20 V 30 V Physics 201: Lecture 1, Pg 21

22 Clicker Question 4/Example: What is the voltage across the 6 μf capacitor? C ( F) Q ( C) V (V) Physics 201: Lecture 1, Pg 22

23 Stored energy in a capacitor First electron: W = q V = q (0) U 1 2 Last electron: W = q V q V Average: W = 1/2 q V -Q +Q Battery QV Using Q = CV U = ½QV = ½CV 2 = ½Q 2 /C Physics 201: Lecture 1, Pg 23

24 Clicker Question 5: A parallel plate capacitor is charged by connecting it to a battery. The battery is then removed, leaving the charge on the capacitor plates. What happens to the energy stored in the capacitor when the plates are pulled a small distance further apart? (a) It decreases. (b) It stays the same (c) It increases. Physics 201: Lecture 1, Pg 24

### Agenda for Today. Elements of Physics II. Capacitors Parallel-plate. Charging of capacitors

Capacitors Parallel-plate 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

### Agenda for Today. Elements of Physics II. Capacitors Parallel-plate. Charging of capacitors

Capacitors Parallel-plate 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

### Capacitors (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

### Class 6. Capacitance and Capacitors. Physics 106. Winter Press CTRL-L to view as a slide show. Class 6. Physics 106.

and in and Energy Winter 2018 Press CTRL-L to view as a slide show. From last time: The field lines are related to the field as follows: What is the electric potential? How are the electric field and the

### Agenda for Today. Elements of Physics II. Conductors and Insulators Movement of charges Conservation of charge Static electricity Electroscope

Physics 132: Lecture e 5 Elements of Physics II Agenda for Today Conductors and Insulators Movement of charges Conservation of charge Static electricity Electroscope Physics 201: Lecture 1, Pg 1 Problem

### General Physics II (PHYS 104) Exam 2: March 21, 2002

General Physics II (PHYS 104) Exam 2: March 21, 2002 Name: Multiple Choice (3 points each): Answer the following multiple choice questions. Clearly circle the response (or responses) that provides the

### Physics 1202: Lecture 4 Today s Agenda. Today s Topic :

Physics 1202: Lecture 4 Today s Agenda Announcements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW assignments, solutions etc. Homework #1: On Masterphysics: due this coming Friday Go to the syllabus

### Capacitors 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

### Capacitors 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

### Physics 102: Lecture 04 Capacitors (& batteries)

Physics 102: Lecture 04 Capacitors (& batteries) Physics 102: Lecture 4, Slide 1 I wish the checkpoints were given to us on material that we learned from the previous lecture, rather than on material from

### (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

### Chapter 19 Electric Potential and Electric Field

Chapter 19 Electric Potential and Electric Field The electrostatic force is a conservative force. Therefore, it is possible to define an electrical potential energy function with this force. Work done

### Coulomb s constant k = 9x10 9 N m 2 /C 2

1 Part 2: Electric Potential 2.1: Potential (Voltage) & Potential Energy q 2 Potential Energy of Point Charges Symbol U mks units [Joules = J] q 1 r Two point charges share an electric potential energy

### Electric Charge and Electric field

Electric Charge and Electric field ConcepTest 16.1a Electric Charge I Two charged balls are repelling each other as they hang from the ceiling. What can you say about their charges? 1) one is positive,

### BROCK UNIVERSITY. Name: Student #: Page 1 of 8

Name: Student #: BROCK UNIVERSITY Page 1 of 8 Mid-term Test 2: March 2010 Number of pages: 8 Course: PHYS 1P22/1P92 Number of students: 125 Examination date: 19 March 2010 Number of hours: 2 Time of Examination:

### Capacitance. A different kind of capacitor: Work must be done to charge a capacitor. Capacitors in circuits. Capacitor connected to a battery

Capacitance The ratio C = Q/V is a conductor s self capacitance Units of capacitance: Coulomb/Volt = Farad A capacitor is made of two conductors with equal but opposite charge Capacitance depends on shape

### Physics (

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

### Capacitors. Lecture 10. Chapter 26. My Capacitance is limited. PHYS.1440 Lecture 10 Danylov. Department of Physics and Applied Physics

Lecture 10 Chapter 26 Capacitors My Capacitance is limited Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 26: Section 26.2 The Geometry

### Chapter 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

### Experiment FT1: Measurement of Dielectric Constant

Experiment FT1: Measurement of Dielectric Constant Name: ID: 1. Objective: (i) To measure the dielectric constant of paper and plastic film. (ii) To examine the energy storage capacity of a practical capacitor.

### General Physics (PHY 2140)

General Physics (PHY 2140) Lecture 7 Electrostatics and electrodynamics Capacitance and capacitors capacitors with dielectrics Electric current current and drift speed resistance and Ohm s law http://www.physics.wayne.edu/~apetrov/phy2140/

### Capacitors II. Physics 2415 Lecture 9. Michael Fowler, UVa

Capacitors II Physics 2415 Lecture 9 Michael Fowler, UVa Today s Topics First, some review then Storing energy in a capacitor How energy is stored in the electric field Dielectrics: why they strengthen

### Louisiana 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),

### Energy 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

### Chapter 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:

### Chapter 16. Electric Energy and Capacitance

Chapter 16 Electric Energy and Capacitance Electric Potential Energy The electrostatic force is a conservative force It is possible to define an electrical potential energy function with this force Work

### Physics 219 Question 1 January

Lecture 6-16 Physics 219 Question 1 January 30. 2012. A (non-ideal) battery of emf 1.5 V and internal resistance 5 Ω is connected to a light bulb of resistance 50 Ω. How much power is delivered to the

### Electric 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

### Lecture 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 10.1-6, Pages 8-94 Assignment: Assignment #10 Due: March 31 st, 005 Preamble: Capacitance

### Chapter 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

### Basics of Network Theory (Part-I)

Basics of Network Theory (Part-I) 1. One coulomb charge is equal to the charge on (a) 6.24 x 10 18 electrons (b) 6.24 x 10 24 electrons (c) 6.24 x 10 18 atoms (d) none of the above 2. The correct relation

### Physics 2102 Gabriela González

Physics 2102 Gabriela González Any two charged conductors form a capacitor. Capacitance : C= Q/V Simple Capacitors: Parallel plates: C = ε 0 A/d Spherical : C = ε 0 4πab/(b-a) Cylindrical: C = ε 0 2πL/ln(b/a)

### Electric Potential Energy Chapter 16

Electric Potential Energy Chapter 16 Electric Energy and Capacitance Sections: 1, 2, 4, 6, 7, 8, 9 The electrostatic force is a conservative force It is possible to define an electrical potential energy

### 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

### WELCOME TO PERIOD 14. Homework Exercise #13 is due today. Watch video 3 Edison s Miracle of Light for class discussion next Tuesday or Wednesday.

WELCOME TO PERIOD 14 Homework Exercise #13 is due today. Watch video 3 Edison s Miracle of Light for class discussion next Tuesday or Wednesday. PHYSICS 1103 PERIOD 14 What is an electric circuit? How

### 104 Practice Exam 1-2/21/02

104 Practice Exam 1-2/21/02 1. One mole of a substance contains 6.02 > 10 23 protons and an equal number of electrons. If the protons could somehow be separated from the electrons and placed in separate

### PHYSICS - CLUTCH CH 24: CAPACITORS & DIELECTRICS.

!! www.clutchprep.com CONCEPT: CAPACITORS AND CAPACITANCE A CAPACITOR is formed by two surfaces of equal/opposite charge brought close together - Separation of charge potential energy stored Connecting

### Capacitor: 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:

### Chapter 17 Lecture Notes

Chapter 17 Lecture Notes Physics 2424 - Strauss Formulas: qv = U E W = Fd(cosθ) W = - U E V = Ed V = kq/r. Q = CV C = κε 0 A/d κ = E 0 /E E = (1/2)CV 2 Definition of electric potential Definition of Work

### Chapter 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

### BROCK UNIVERSITY. Physics 1P22/1P92. Mid-term Test 2: 19 March Solutions

BROCK UNIVERSITY Physics 1P22/1P92 Mid-term Test 2: 19 March 2010 Solutions 1. [6 marks] (See Page 746, CP # 24, and pages 15 16 of the posted Ch. 22 lecture notes from 4 March.) A 3.0 V potential difference

### W05D1 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, 5.1-5.4 1 Outline Conductors and Insulators Conductors as

### CAPACITANCE Parallel-plates capacitor E + V 1 + V 2 - V 1 = + - E = A: Area of the plates. = E d V 1 - V 2. V = E d = Q =

Andres La Rosa Portland State University Lecture Notes PH212 CAPACITANCE Parallelplates capacitor 1 2 Q Q E V 1 V 2 V 2 V 1 = 2 E E is assumed to be uniform between the plates Q Q V (Battery) V 2 V 1 =

### News. Charge and Potential. Charge Density. Charge and Potential Quiz #2: Monday, 3/14, 10AM Same procedure as for quiz R +

News Charge and Potential Quiz #2: Monday, 3/14, 10AM Same procedure as for quiz 1 Review in class Fri, 3/11 Evening review, Fri, 3/11, 68PM 2 practice quizzes ( practice problems) Formula sheet R Charged

### Look over. examples 1, 2, 3, 5, 6. Look over. Chapter 25 section 1-8. Chapter 19 section 5 Example 10, 11

PHYS Look over hapter 5 section -8 examples,, 3, 5, 6 PHYS Look over hapter 7 section 7-9 Examples 8, hapter 9 section 5 Example 0, Things to Know ) How to find the charge on a apacitor. ) How to find

### Review from yesterday. Please answer PROBLEM 3 in Knight on page 716 while we are waiting to start. It takes 3.0 μj to move a 15nC charge from A

Review from yesterday Please answer PROBLEM 3 in Knight on page 716 while we are waiting to start. It takes 3.0 μj to move a 15nC charge from A to B 1 Review from yesterday Please answer PROBLEM 17 in

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

### ECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance

ECE2262 Electric Circuits Chapter 6: Capacitance and Inductance Capacitors Inductors Capacitor and Inductor Combinations 1 CAPACITANCE AND INDUCTANCE Introduces two passive, energy storing devices: Capacitors

### 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.

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,

### Physics 201. Professor P. Q. Hung. 311B, Physics Building. Physics 201 p. 1/3

Physics 201 p. 1/3 Physics 201 Professor P. Q. Hung 311B, Physics Building Physics 201 p. 2/3 Summary of last lecture Equipotential surfaces: Surfaces where the potential is the same everywhere, e.g. the

### Electric Potential Energy Conservative Force

Electric Potential Energy Conservative Force Conservative force or field is a force field in which the total mechanical energy of an isolated system is conserved. Examples, Gravitation, Electrostatic,

### COLLEGE PHYSICS Chapter 19 ELECTRIC POTENTIAL AND ELECTRIC FIELD

COLLEGE PHYSICS Chapter 19 ELECTRIC POTENTIAL AND ELECTRIC FIELD Electric Potential Energy and Electric Potential Difference It takes work to move a charge against an electric field. Just as with gravity,

### ENGR 2405 Chapter 6. Capacitors And Inductors

ENGR 2405 Chapter 6 Capacitors And Inductors Overview This chapter will introduce two new linear circuit elements: The capacitor The inductor Unlike resistors, these elements do not dissipate energy They

### Chapter 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

### Intermediate Physics PHYS102

Intermediate Physics PHYS102 Dr Richard H. Cyburt Assistant Professor of Physics My office: 402c in the Science Building My phone: (304) 384-6006 My email: rcyburt@concord.edu My webpage: www.concord.edu/rcyburt

### Capacitor Construction

Capacitor Construction Topics covered in this presentation: Capacitor Construction 1 of 13 Introduction to Capacitors A capacitor is a device that is able to store charge and acts like a temporary, rechargeable

### Chapter 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

### Electric Field of a uniformly Charged Thin Spherical Shell

Electric Field of a uniformly Charged Thin Spherical Shell The calculation of the field outside the shell is identical to that of a point charge. The electric field inside the shell is zero. What are the

### Capacitance. 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 25-2 Capacitance 25.01 Sketch a schematic diagram of a circuit with a parallel-plate capacitor,

### 1. zero. Where an electric field line crosses an equipotential surface, the angle between the field line and the equipotential is

Week 5 Where an electric field line crosses an equipotential surface, the angle between the field line and the equipotential is 1. zero 2. between zero and 90 3. 90 4. not enough information given to

### Physics 202: Lecture 5, Pg 1

Resistance Resistors Series Parallel Ohm s law Electric Circuits Current Physics 132: Lecture e 15 Elements of Physics II Kirchhoff s laws Agenda for Today Physics 202: Lecture 5, Pg 1 Electric Current

### Definition 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

### Class 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

### Electromagnetism Question 1 What influences the strength of an electromagnet? What property does a needle inside a compass possess?

Electromagnetism Question 1 What influences the strength of an electromagnet? What property does a needle inside a compass possess? Magnet Since a magnet repels and attracts it. What affect does increased

### Exam 1--PHYS 202--S12

ame: Exam 1--PHYS 202--S12 Multiple Choice Identify the choice that best completes the statement or answers the question 1 Which of these statements is true about charging by induction? a it can only occur

### Capacitance. A capacitor consists of two conductors that are close but not touching. A capacitor has the ability to store electric charge.

Capacitance A capacitor consists of two conductors that are close but not touching. A capacitor has the ability to store electric charge. a) Parallel-plate capacitor connected to battery. (b) is a circuit

### Physics 2401 Summer 2, 2008 Exam II

Physics 2401 Summer 2, 2008 Exam II e = 1.60x10-19 C, m(electron) = 9.11x10-31 kg, ε 0 = 8.845x10-12 C 2 /Nm 2, k e = 9.0x10 9 Nm 2 /C 2, m(proton) = 1.67x10-27 kg. n = nano = 10-9, µ = micro = 10-6, m

### iclicker 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

### Chapter 21 Electric Potential

Chapter 21 Electric Potential Chapter Goal: To calculate and use the electric potential and electric potential energy. Slide 21-1 Chapter 21 Preview Looking Ahead Text: p. 665 Slide 21-2 Review of Potential

### Danger High Voltage! Your friend starts to climb on this... You shout Get away! That s High Voltage!!! After you save his life, your friend asks:

Danger High Voltage! Your friend starts to climb on this... You shout Get away! That s High Voltage!!! After you save his life, your friend asks: What is Voltage anyway? Voltage... Is the energy (U, in

### Review. Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. When more devices are added to a series circuit, the total circuit resistance: a.

### ECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance

ECE2262 Electric Circuits Chapter 6: Capacitance and Inductance Capacitors Inductors Capacitor and Inductor Combinations Op-Amp Integrator and Op-Amp Differentiator 1 CAPACITANCE AND INDUCTANCE Introduces

### Chapter 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 energy-storing

### Chapter 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

### Electricity 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

### Objects usually are charged up through the transfer of electrons from one object to the other.

1 Part 1: Electric Force Review of Vectors Review your vectors! You should know how to convert from polar form to component form and vice versa add and subtract vectors multiply vectors by scalars Find

### Which one of the pipes emits sound with the lowest frequency? Which one of the pipes emits sound with the next lowest frequency?

The figures show standing waves of sound in six organ pipes of the same length. Each pipe has one end open and the other end closed. Warning: some of the figures show situations that are not possible.

### ConcepTest PowerPoints

ConcepTest PowerPoints Chapter 16 Physics: Principles with Applications, 7 th edition Giancoli 2014 Pearson Education, Inc. This work is protected by United States copyright laws and is provided solely

### Figure 1: Capacitor circuit

Capacitors INTRODUCTION The basic function of a capacitor 1 is to store charge and thereby electrical energy. This energy can be retrieved at a later time for a variety of uses. Often, multiple capacitors

### Physics 102: Lecture 05 Circuits and Ohm s Law

Physics 102: Lecture 05 Circuits and Ohm s Law Physics 102: Lecture 5, Slide 1 Summary of Last Time Capacitors Physical C = ke 0 A/d C=Q/V Series 1/C eq = 1/C 1 + 1/C 2 Parallel C eq = C 1 + C 2 Energy

### Chapter 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

### 1 P a g e h t t p s : / / w w w. c i e n o t e s. c o m / Physics (A-level)

1 P a g e h t t p s : / / w w w. c i e n o t e s. c o m / Capacitance (Chapter 18): Physics (A-level) Every capacitor has two leads, each connected to a metal plate, where in between there is an insulating

### Chapter 16. Electric Energy and Capacitance

Chapter 16 Electric Energy and Capacitance Electric Potential of a Point Charge The point of zero electric potential is taken to be at an infinite distance from the charge The potential created by a point

### CAPACITORS / ENERGY STORED BY CAPACITORS / CHARGING AND DISCHARGING

PHYSICS A2 UNIT 4 SECTION 3: CAPACITANCE CAPACITORS / ENERGY STORED BY CAPACITORS / CHARGING AND DISCHARGING # Question CAPACITORS 1 What is current? Current is the rate of flow of charge in a circuit

### ENERGY AND TIME CONSTANTS IN RC CIRCUITS By: Iwana Loveu Student No Lab Section: 0003 Date: February 8, 2004

ENERGY AND TIME CONSTANTS IN RC CIRCUITS By: Iwana Loveu Student No. 416 614 5543 Lab Section: 0003 Date: February 8, 2004 Abstract: Two charged conductors consisting of equal and opposite charges forms

### shown in Fig. 4, is initially uncharged. How much energy is stored in the two capacitors after the switch S is closed for long time?

Chapter 25 Term 083 Q13. Each of the two 25-µF capacitors, as shown in Fig. 3, is initially uncharged. How many Coulombs of charge pass through ammeter A after the switch S is closed for long time? A)

### 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

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.

### Agenda for Today. Elements of Physics II. Resistance Resistors Series Parallel Ohm s law Electric Circuits. Current Kirchoff s laws

Resistance Resistors Series Parallel Ohm s law Electric Circuits Physics 132: Lecture e 17 Elements of Physics II Current Kirchoff s laws Agenda for Today Physics 201: Lecture 1, Pg 1 Clicker Question

### Physics 202, Exam 1 Review

Physics 202, Exam 1 Review Logistics Topics: Electrostatics + Capacitors (Chapters 21-24) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential.

### On the axes of Fig. 4.1, carefully sketch a graph to show how the potential difference V across the capacitor varies with time t. Label this graph L.

1 (a) A charged capacitor is connected across the ends of a negative temperature coefficient (NTC) thermistor kept at a fixed temperature. The capacitor discharges through the thermistor. The potential

### Potential from a distribution of charges = 1

Lecture 7 Potential from a distribution of charges V = 1 4 0 X Smooth distribution i q i r i V = 1 4 0 X i q i r i = 1 4 0 Z r dv Calculating the electric potential from a group of point charges is usually

### Properties of Capacitors and its DC Behavior

LABORATORY Experiment 2 Properties of Capacitors and its DC Behavior 1. Objectives To investigate the /V characteristics of capacitor. To calculate the equivalent capacitance of capacitors connected in

### PH213 Chapter 24 Solutions

PH213 Chapter 24 Solutions 24.12. IDENTIFY and S ET UP: Use the expression for derived in Example 24.4. Then use Eq. (24.1) to calculate Q. E XECUTE: (a) From Example 24.4, The conductor at higher potential

### 1. How much charge is stored in a capacitor, whose capacitance C = 2µF, connected to a 12V battery?

IMP 113: 2 nd test (Union College: Spring 2010) Instructions: 1. Read all directions. 2. In keeping with the Union College policy on academic honesty, you should neither accept nor provide unauthorized

### Today 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

### Name Date Time to Complete

Name Date Time to Complete h m Partner Course/ Section / Grade Capacitance Equipment Doing some simple experiments, including making and measuring the capacitance of your own capacitor, will help you better

### Designing Information Devices and Systems I Fall 2018 Lecture Notes Note Introduction to Capacitive Touchscreen

EES 16A Designing Information Devices and Systems I Fall 2018 Lecture Notes Note 16 16.1 Introduction to apacitive Touchscreen We ve seen how a resistive touchscreen works by using the concept of voltage

### Electric Currents and Resistance

Electric Currents and Resistance Physics 2415 Lecture 10 Michael Fowler, UVa Today s Topics First we ll finish capacitors Then current electricity: frogs legs, etc. The lithium ion battery Circuits and