Review. Spring Semester /21/14. Physics for Scientists & Engineers 2 1
|
|
- Harold Lester
- 6 years ago
- Views:
Transcription
1 Review Spring Semester 2014 Physics for Scientists & Engineers 2 1
2 Notes! Homework set 13 extended to Tuesday, 4/22! Remember to fill out SIRS form: Physics for Scientists & Engineers 2 2
3 Homework hints I! Particle track detectors are used to measure the speed of particles if the lifetime of the particle is known. Particle X has a lifetime of ps. These particles are created in an experiment inside the detector by a given reaction. The particles leave 13.2 cm long tracks on average before they decay into other particles not observable by the detector. What is the average speed of the particles in terms of the speed of light?! Answer: relativistic particle! Lifetime is always given in restframe of the particle! Lifetime in detector frame: t = γt 0! Distance: l = v t = vγt 0! Solve for v Physics for Scientists & Engineers 2 3
4 Homework hints II! How much energy is required to accelerate a spaceship with a rest mass of 113 metric tons to a speed of c?! Work = kinetic energy K = (γ-1)mc E21 J! Every day our Earth receives J energy from the Sun. If we were able to use 0.85 percent of this energy to accelerate spaceships, then how many missions would be possible in one year?! 1.55E22 J per day is 5.66E24 J per year! 0.85% is of J = 4.81E22 J = 48.1E21 J! Number of missions: 48.1/1.89 = 25.4! 25 complete missions are possible.! For more hints, see Physics for Scientists & Engineers 2 4
5 PHY 184 Final Exam! When: Wednesday, April 30, 8pm to 10pm! Where: BPS 1410 (this room)! You can bring two pages of equation sheets: Two pieces of letter-size paper Handwritten! Also bring: No. 2 pencil Calculator Student ID! The exam is closed book and will cover the entire semester! Assigned seating! A practice final exam has been uploaded to the lecture notes folder Physics for Scientists & Engineers 2 5
6 Review - Electric charge! There are two types of charge: negative and positive.! Most objects are electrically neutral; they have equal numbers of negative and positive charges (net charge is 0).! An object becomes charged by adding or removing electrons.! An electron carries negative charge of magnitude e = C.! Law of Charges Like charges repel and opposite charges attract.! Law of charge conservation The total charge of an isolated system is strictly conserved.! Conductors are materials where some of the electrons can move freely.! Insulators are materials where none of the charges can move freely. Physics for Scientists & Engineers 2 6
7 Review - Coulomb s Law! The electric force F between two charges, q 1 and q 2, separated by a distance r is given by Coulomb s Law: F = qq k r 1 2 2! 1/r 2 dependence Opposite charges: F is attractive (-) Like charges: F is repulsive (+)! The constant k is called Coulomb s constant and is given by Nm 1 C k = or k = where ε = C 4πε 0 Nm Physics for Scientists & Engineers 2 7
8 The Electric Field! A charge creates an electric field around itself and the other charge feels that field. + + Test charge q Electric field at a given point in space: place a positive test charge q at the point and measure the electrostatic force that acts on the test charge; then E = F q Test charge: point object with a very small positive charge so that it does not modify the original field Physics for Scientists & Engineers 2 8
9 Review -Field Lines from a Point Charge! The electric field lines from a point charge extend out radially.! For a positive point charge, the field lines point outward Terminate at infinity! For a negative charge, the field lines point inward Originate at infinity E = k q r 2 ˆr Physics for Scientists & Engineers 2 9
10 Review - Gauss Law! Gauss Law ε 0 Φ = q! Gauss Law says that the electric flux through a closed surface is proportional to the net charge enclosed by this surface. Flux Φ = E d A! If we add the definition of the electric flux we get another expression for Gauss Law ε 0 E d A = q Physics for Scientists & Engineers 2 10
11 Review - Electric Fields from Charge Distributions! The electric field E at distance r from a wire with charge density λ is E λ = = 2πε r 0 2kλ r! The electric field inside a closed conductor is 0! Electric field lines are always perpendicular to the surface of a conductor Physics for Scientists & Engineers 2 13
12 Review - Electric Fields from Charge Distributions (2)! The electric field E produced by an infinite conducting plane with charge density σ is E = σ ε 0! The electric field E produced by an infinite non-conducting plate with charge density σ is E = σ 2ε 0 Physics for Scientists & Engineers 2 14
13 Review: Electric Field (3)! The electric field inside a spherical shell of charge q is zero! The electric field outside a spherical shell of charge q is the same as the field from a point charge q E = 1 4πε! Electric field from charge distributed uniformly throughout a sphere of radius r 0 q r 2 r 2 > r r 1 < r E r E r 2 = k q t r 2 2 ( ) = qr = kqr ( ) t 1 t πε 0r r Physics for Scientists & Engineers 2 15
14 Review - Electric Potential! Taking the convention that the electric potential is zero at infinity we can express the electric potential in terms of the electric field as! Calculate the electric field from gradients of the electric potential in each component direction V x ; V E = Ey = ; E V z = x y z! The electric potential from a point charge q at a distance r is given by: V! The electric potential can be expressed as an algebraic sum of all sources of electric potential V = kq r n = i= 1 V i In particular for a system of point charges: V kq n n i V i i= 1 i= 1 ri = = Physics for Scientists & Engineers 2 16
15 Force Field Energy - Potential kqq/ R 2 Integrate over distance Differentiate with respect to distance kqq/r Divide by q Multiply with q Divide by q Multiply with q kq/r 2 Point charges Integrate over distance Differentiate with respect to distance kq/r
16 Review: Capacitance (1)! The definition of capacitance is q C = V! The capacitance of a parallel plate capacitor is given by A is the area of each plate d is the distance between the plates! The capacitance of a spherical capacitor is C = ε 0 A d C 4πε r 1 is the radius of the inner sphere r 2 is the radius of the outer sphere = 0 rr 1 2 r r 2 1 Physics for Scientists & Engineers 2 19
17 Review: Capacitance (2)! The capacitance of an isolated spherical conductor is C = 4πε R! The capacitance of a cylindrical capacitor is q 0 λl 2πε L 0 C = = = V λ ln 2/ r r 1 2πε 0 ( r r ln ) ( 2/ 1)! Placing a dielectric between the plates of a capacitor increase the capacitance by κ C = κc air! The electric potential energy stored in a capacitor is given by U = 1 2 CV 2 Physics for Scientists & Engineers 2 20
18 Review: Capacitors in parallel and in series! The equivalent capacitance for n capacitors in parallel is C eq n = C i= 1 i! The equivalent capacitance for n capacitors in series is C n 1 1 eq = i= 1 C = i = Physics for Scientists & Engineers 2 21
19 Review: Current! Electric current i is the net charge passing a given point in a given time i = dq dt! The ampere is abbreviated as A and is given by 1 C 1 A = 1 s! The current per unit area flowing through a conductor is the current density J! If the current is constant and perpendicular to a surface, then and we can write an expression for the magnitude of the current density J = i A Physics for Scientists & Engineers 2 22
20 Review - Ohm s law! The property of a particular device or object that describes it ability to conduct electric currents is called the resistance, R! The definition of resistance R is! The unit of resistance is the ohm, Ω R = V i 1 Ω= 1 V 1 A Physics for Scientists & Engineers 2 23
21 Review - Resistance! The resistance R of a device is given by R L = ρ A! ρ is resistivity of the material from which the device is constructed! L is the length of the device! A is the cross sectional area of the device Physics for Scientists & Engineers 2 24
22 Review Parallel and Series Resistors! We can replace n parallel resistors with one equivalent resistor given by n 1 1 = R eq i= 1 R i! We can replace n series resistors with one equivalent resistor given by R eq n = i= 1 R i Physics for Scientists & Engineers 2 25
23 Power, Kirchhoff s Law! Power dissipated in a circuit P= iv = i R= 2 V! To analyze any circuit, identify loops and junctions At each junction, define a direction for the current Making sure the current directions are consistent across all junctions For each loop, define an analysis direction! Kirchhoff s Junction Rule The sum of the currents entering a junction must equal the sum of the currents leaving a junction! Kirchhoff s Loop Rule The sum of voltage drops around a complete circuit loop must sum to zero. 2 R i 1 V 1 i 2 i 3 V 2 V 3 Physics for Scientists & Engineers 2 26
24 Power dissipated by a resistor in a network! Four resistors, R 1 = 17.6Ω, R 2 = 35.8Ω, R 3 = 95.6Ω and R 4 = 21.0Ω are connected to a 18.0 V battery as shown in the figure. Determine the power dissipated by resistor R Find the equivalent resistance. 2. Go backwards and find the current through R Calculate the power. Correct answer: 1.56W Physics for Scientists & Engineers 2 27
25 ! Charging a capacitor:! Discharging a capacitor: q = q 0 e t RC! Time constant: i Review: RC Circuit t qt () = q0 1 e τ t V emf RC dq = = e dt R i = dq dt = q 0 RC e τ = RC t RC Physics for Scientists & Engineers 2 28
26 Problem solving strategy! Use this approach to solve problems, in particular if at first you have no clue. Step 1 recognize Step 2 describe Step 3 plan Step 4 execute Step 5 evaluate Recognize the problem What s going on? Think Describe the problem in terms of the field What does this have to do with? Sketch Plan a solution How do I get out of this? Research Execute the plan Let s get an answer! Simplify, Calculate, Round Evaluate the solution Can this be true? Double-check! Draw a picture! Phrase the question in your own words! Relate the question to something you just learned! Identify physics quantities, forces, fields, potentials,! Find a physics principle (symmetry, conservation, )! Write down the equations! Solve equations, starting with intermediate steps! Check units, order-of-magnitude, insert into original question, Physics for Scientists & Engineers 2 30
27 Practice question: Three charges on a line! Three +20 µc charges are placed along a straight line, successive charges being 2m apart as shown in the figure. What is the force on the charge on the right end. A) N B) N C) N D) N q 1 q 2 q 3 2m 2m Physics for Scientists & Engineers 2 31
28 Practice question: Three charges on a line! Three +20 μc charges are placed along a straight line, successive charges being 2m apart as shown in the figure. What is the force on the charge on the right end. B) N q 1 q 2 q 3 2m 2m Physics for Scientists & Engineers 2 32
29 Practice question: Resistor Circuit! In the circuit to the right, what is the current I when the voltage between points a and b is 12.0V? (R 1 =47 Ω, R 2 =120 Ω, R 3 =270 Ω) A) I=0.14A B) I=0.40A C) I=0.09A D) I=0.03A Physics for Scientists & Engineers 2 33
30 Practice question: Resistor Circuit! In the circuit to the right, what is the current I when the voltage between points a and b is 12.0V? (R 1 =47 Ω, R 2 =120 Ω, R 3 =270 Ω) C) I=0.09A R 2 and R 3 are in parallel: R 1 and R 23 are in series: = + R23 = 83.08Ω R R R R = R + R R = Ω Current is given by I = V/R = A Physics for Scientists & Engineers 2 34
31 Practice question: Charge on a capacitor! A certain parallel plate capacitor consists of two plates, each with area 200cm 2, separated by a 0.4cm air gap. The capacitor is connected to a 500V power supply. If a liquid with κ=2.6 is poured between the plates, how much additional charge will flow onto the capacitor? A) 35.2 nc B) 70.1 nc C) no additional charge D) 9.0 μc Physics for Scientists & Engineers 2 35
32 Practice question: Charge on a capacitor! A certain parallel plate capacitor consists of two plates, each with area 200cm 2, separated by a 0.4cm air gap. The capacitor is connected to a 500V power supply. If a liquid with κ=2.6 is poured between the plates, how much additional charge will flow onto the capacitor? A) 35.2 nc Physics for Scientists & Engineers 2 36
PHYS 272 (Spring 2018): Introductory Physics: Fields Homeworks
PHYS 272 (Spring 2018): Introductory Physics: Fields Homeworks Note: the 1st homework is simply signing the honor pledge (but still it is compulsory); the actual homework starts with #2. And, please sign
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 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 informationPHYS 212 Final Exam (Old Material) Solutions - Practice Test
PHYS 212 Final Exam (Old Material) Solutions - Practice Test 1E If the ball is attracted to the rod, it must be made of a conductive material, otherwise it would not have been influenced by the nearby
More informationMansfield Independent School District AP Physics C: Electricity and Magnetism Year at a Glance
Mansfield Independent School District AP Physics C: Electricity and Magnetism Year at a Glance First Six-Weeks Second Six-Weeks Third Six-Weeks Lab safety Lab practices and ethical practices Math and Calculus
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 informationLAST Name (print) ALL WORK MUST BE SHOWN FOR THE FREE RESPONSE QUESTION IN ORDER TO RECEIVE FULL CREDIT.
Physics 107 LAST Name (print) First Mid-Term Exam FIRST Name (print) Summer 2013 Signature: July 5 UIN #: Textbooks, cell phones, or any other forms of wireless communication are strictly prohibited in
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 informationAP Physics C. Electricity - Term 3
AP Physics C Electricity - Term 3 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the
More informationPhysics 202, Exam 1 Review
Physics 202, Exam 1 Review Logistics Topics: Electrostatics (Chapters 21-24.6) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential. Interaction
More informationAP Physics C. Magnetism - Term 4
AP Physics C Magnetism - Term 4 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the world
More informationPhys 2025, First Test. September 20, minutes Name:
Phys 05, First Test. September 0, 011 50 minutes Name: Show all work for maximum credit. Each problem is worth 10 points. Work 10 of the 11 problems. k = 9.0 x 10 9 N m / C ε 0 = 8.85 x 10-1 C / N m e
More informationPhysics 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.
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 y-axis, 15 µm above the origin, while another charge q
More informationPhysics 213: General Physics Fall :30 AM Lecture
Physics 213: General Physics Fall 2004 9:30 AM Lecture Midterm I Solutions Tuesday, September 21, 2004 Chem-Phys 153 Name (print): Signature: Student Number: Your Seat Number (on back of chair): 1. Immediately
More informationPhysics 55 Final Exam Fall 2012 Dr. Alward Page 1
Physics 55 Final Exam Fall 2012 Dr. Alward Page 1 1. The specific heat of lead is 0.030 cal/g C. 300 g of lead shot at 100 C is mixed with 100 g of water at 70 C in an insulated container. The final temperature
More informationPhys222 W16 Exam 2: Chapters Key. Name:
Name: Please mark your answer here and in the scantron. A positively charged particle is moving in the +y-direction when it enters a region with a uniform electric field pointing in the +y-direction. Which
More informationPHYS 1444 Section 004 Lecture #22
PHYS 1444 Section 004 Lecture #22 Monday, April 23, 2012 Dr. Extension of Ampere s Law Gauss Law of Magnetism Maxwell s Equations Production of Electromagnetic Waves Today s homework is #13, due 10pm,
More informationPhysics Jonathan Dowling. Final Exam Review
Physics 2102 Jonathan Dowling Physics 2102 Final Exam Review A few concepts: electric force, field and potential Electric force: What is the force on a charge produced by other charges? What is the force
More informationLouisiana State University Physics 2102, Exam 3 April 2nd, 2009.
PRINT Your Name: Instructor: Louisiana State University Physics 2102, Exam 3 April 2nd, 2009. Please be sure to PRINT your name and class instructor above. The test consists of 4 questions (multiple choice),
More informationMake sure you show all your work and justify your answers in order to get full credit.
PHYSICS 7B, Lectures & 3 Spring 5 Midterm, C. Bordel Monday, April 6, 5 7pm-9pm Make sure you show all your work and justify your answers in order to get full credit. Problem esistance & current ( pts)
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 informationPhysics Electricity & Op-cs Lecture 8 Chapter 24 sec Fall 2017 Semester Professor
Physics 24100 Electricity & Op-cs Lecture 8 Chapter 24 sec. 1-2 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 informationName (Print): 4 Digit ID: Section:
Physics 11 Sample Common Exam 3: Sample 5 Name (Print): 4 Digit ID: Section: Honors Code Pledge: As an NJIT student I, pledge to comply with the provisions of the NJIT Academic Honor Code. I assert that
More informationAP Physics C Electricity & Magnetism Mid Term Review
AP Physics C Electricity & Magnetism Mid Term Review 1984 37. When lighted, a 100-watt light bulb operating on a 110-volt household circuit has a resistance closest to (A) 10-2 Ω (B) 10-1 Ω (C) 1 Ω (D)
More informationF S E S 1. r 2 r N. t = pe sin f. T S p : E S. U = -p S # E
Coulomb s law: For charges q 1 and q separated by a distance r, the magnitude of the electric force on either F = (1.) 1 ƒq 1 q ƒ 4pP 0 r charge is proportional to the product q 1 q and inversely proportional
More informationSection 1: Electric Fields
PHY 132 Outline of Lecture Notes i Section 1: Electric Fields A property called charge is part of the basic nature of protons and electrons. Large scale objects become charged by gaining or losing electrons.
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 informationPhy207 Exam II (Form1) Professor Zuo Fall Semester Signature: Name:
Phy207 Exam II (Form1) Professor Zuo Fall Semester 2015 On my honor, I have neither received nor given aid on this examination Signature: Name: #1 14 #15 ID number: Total Enter your name and Form 1 (FM1)
More informationQuestions Chapter 23 Gauss' Law
Questions Chapter 23 Gauss' Law 23-1 What is Physics? 23-2 Flux 23-3 Flux of an Electric Field 23-4 Gauss' Law 23-5 Gauss' Law and Coulomb's Law 23-6 A Charged Isolated Conductor 23-7 Applying Gauss' Law:
More informationChapter 10. Electrostatics
Chapter 10 Electrostatics 3 4 AP Physics Multiple Choice Practice Electrostatics 1. The electron volt is a measure of (A) charge (B) energy (C) impulse (D) momentum (E) velocity. A solid conducting sphere
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 informationPhysics 208, Spring 2016 Exam #2
Physics 208, Spring 2016 Exam #2 A Name (Last, First): ID #: Section #: You have 75 minutes to complete the exam. Formulae are provided on an attached sheet. You may NOT use any other formula sheet. You
More informationAP Physics C. Electric Circuits III.C
AP Physics C Electric Circuits III.C III.C.1 Current, Resistance and Power The direction of conventional current Suppose the cross-sectional area of the conductor changes. If a conductor has no current,
More informationPhysics 2B Winter 2012 Final Exam Practice
Physics 2B Winter 2012 Final Exam Practice 1) When the distance between two charges is increased, the force between the charges A) increases directly with the square of the distance. B) increases directly
More informationPhysics 227 Final Exam December 18, 2007 Prof. Coleman and Prof. Rabe. Useful Information. Your name sticker. with exam code
Your name sticker with exam code Physics 227 Final Exam December 18, 2007 Prof. Coleman and Prof. Rabe SIGNATURE: 1. The exam will last from 4:00 p.m. to 7:00 p.m. Use a #2 pencil to make entries on the
More informationQ1. Three point charges are arranged as shown in FIGURE 1. Find the magnitude of the net electrostatic force on the point charge at the origin.
Coordinator: Saleem Rao Monday, May 01, 2017 Page: 1 Q1. Three point charges are arranged as shown in FIGURE 1. Find the magnitude of the net electrostatic force on the point charge at the origin. A) 1.38
More informationElectricity. Revision Notes. R.D.Pilkington
Electricity Revision Notes R.D.Pilkington DIRECT CURRENTS Introduction Current: Rate of charge flow, I = dq/dt Units: amps Potential and potential difference: work done to move unit +ve charge from point
More information2. Waves with higher frequencies travel faster than waves with lower frequencies (True/False)
PHY 2049C Final Exam. Summer 2015. Name: Remember, you know this stuff Answer each questions to the best of your ability. Show ALL of your work (even for multiple choice questions), you may receive partial
More informationPhysics 208, Spring 2016 Exam #3
Physics 208, Spring 206 Exam #3 A Name (Last, First): ID #: Section #: You have 75 minutes to complete the exam. Formulae are provided on an attached sheet. You may NOT use any other formula sheet. You
More informationWelcome. to Electrostatics
Welcome to Electrostatics Outline 1. Coulomb s Law 2. The Electric Field - Examples 3. Gauss Law - Examples 4. Conductors in Electric Field Coulomb s Law Coulomb s law quantifies the magnitude of the electrostatic
More informationQ1. Ans: (1.725) =5.0 = Q2.
Coordinator: Dr. A. Naqvi Wednesday, January 11, 2017 Page: 1 Q1. Two strings, string 1 with a linear mass density of 1.75 g/m and string 2 with a linear mass density of 3.34 g/m are tied together, as
More informationPHYS1212 Exam#2 Spring 2014
PHYS Exam# Spring 4 NAME There are 9 different pages in this quiz. Check now to see that you have all of them. CEDIT PAT A 6% PAT B 4% TOTAL % GADE All work and answers must be given in the spaces provided
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 informationElectric 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
More informationPhysics 24 Exam 2 March 18, 2014
Exam Total / 200 Physics 24 Exam 2 March 18, 2014 Printed Name: Rec. Sec. Letter: Five multiple choice questions, 8 points each. Choose the best or most nearly correct answer. 1. You need to store electrical
More informationVersion 001 CIRCUITS holland (1290) 1
Version CIRCUITS holland (9) This print-out should have questions Multiple-choice questions may continue on the next column or page find all choices before answering AP M 99 MC points The power dissipated
More informationPHYS 241 EXAM #1 October 5, 2006
1. ( 5 points) Two point particles, one with charge 8 10 9 C and the other with charge 2 10 9 C, are separated by 4 m. The magnitude of the electric field (in N/C) midway between them is: A. 9 10 9 B.
More informationPHYS 1441 Section 002 Lecture #6
PHYS 1441 Section 002 Lecture #6 Monday, Sept. 18, 2017 Chapter 21 Motion of a Charged Particle in an Electric Field Electric Dipoles Chapter 22 Electric Flux Gauss Law with many charges What is Gauss
More informationPhysics 2220 Fall 2010 George Williams SECOND MIDTERM - REVIEW PROBLEMS
Physics 0 Fall 010 George Williams SECOND MIDTERM - REVIEW PROBLEMS The last four problems are from last years second midterm. Solutions are available on the class web site.. There are no solutions for,
More informationStudent ID Number. Part I. Lecture Multiple Choice (43 points total)
Name Student ID Number Part I. Lecture Multiple Choice (43 points total). (5 pts.) The voltage between the cathode and the screen of a television set is 22 kv. If we assume a speed of zero for an electron
More informationExam 1--PHYS 102--Spring 2013
ame: Class: Date: Exam 1--PHYS 102--Spring 2013 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A metallic object holds a charge of 3.8 10 6 C. What total
More informationCircuits Capacitance of a parallel-plate capacitor : C = κ ε o A / d. (ρ = resistivity, L = length, A = cross-sectional area) Resistance : R = ρ L / A
k = 9.0 x 109 N m2 / C2 e = 1.60 x 10-19 C ε o = 8.85 x 10-12 C2 / N m2 Coulomb s law: F = k q Q / r2 (unlike charges attract, like charges repel) Electric field from a point charge : E = k q / r2 ( towards
More informationPHYSICS ASSIGNMENT ES/CE/MAG. Class XII
PHYSICS ASSIGNMENT ES/CE/MAG Class XII MM : 70 1. What is dielectric strength of a medium? Give its value for vacuum. 1 2. What is the physical importance of the line integral of an electrostatic field?
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 informationDepartment of Physics. PHYS MAJOR 2 EXAM Test Code: 015. Monday 1 st May 2006 Exam Duration: 2hrs (from 6:30pm to 8:30pm)
Department of Physics PHYS1005 MJOR EXM Test Code: 015 Monday 1 st May 006 Exam Duration: hrs (from 6:30pm to 8:30pm) Name: Student Number: Section Number: Version 15 Page 1 1. Each of the four capacitors
More informationPhysics for Scientists and Engineers 4th Edition 2017
A Correlation and Narrative Summary of Physics for Scientists and Engineers 4th Edition 2017 To the AP Physics C: Electricity and Magnetism Course Description AP is a trademark registered and/or owned
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 informationConcepTest 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
More informationElectric Flux. If we know the electric field on a Gaussian surface, we can find the net charge enclosed by the surface.
Chapter 23 Gauss' Law Instead of considering the electric fields of charge elements in a given charge distribution, Gauss' law considers a hypothetical closed surface enclosing the charge distribution.
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 4-41 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 informationWelcome to PHY2054C. Office hours: MoTuWeTh 10:00-11:00am (and after class) at PS140
Welcome to PHY2054C Office hours: MoTuWeTh 10:00-11:00am (and after class) at PS140 Book: Physics 8 ed. by Cutnell & Johnson, Volume 2 and PHY2054 Lab manual for your labs. One Midterm (July 14) and final
More informationPHYS General Physics for Engineering II FIRST MIDTERM
Çankaya University Department of Mathematics and Computer Sciences 2010-2011 Spring Semester PHYS 112 - General Physics for Engineering II FIRST MIDTERM 1) Two fixed particles of charges q 1 = 1.0µC and
More informationExam 1 Solutions. The ratio of forces is 1.0, as can be seen from Coulomb s law or Newton s third law.
Prof. Eugene Dunnam Prof. Paul Avery Feb. 6, 007 Exam 1 Solutions 1. A charge Q 1 and a charge Q = 1000Q 1 are located 5 cm apart. The ratio of the electrostatic force on Q 1 to that on Q is: (1) none
More informationPhysics 196 Final Test Point
Physics 196 Final Test - 120 Point Name You need to complete six 5-point problems and six 10-point problems. Cross off one 5-point problem and one 10-point problem. 1. Two small silver spheres, each with
More informationWhere k = 1. The electric field produced by a point charge is given by
Ch 21 review: 1. Electric charge: Electric charge is a property of a matter. There are two kinds of charges, positive and negative. Charges of the same sign repel each other. Charges of opposite sign attract.
More informationPhy207 Exam III (Form1) Professor Zuo Spring Semester 15
Phy207 Exam III (Form1) Professor Zuo Spring Semester 15 On my honor, I have neither received nor given aid on this examination Signature: Name: ID number: #1 14 #15/16 Total Enter your name and Form 1
More informationPhysics 240 Fall 2005: Final Exam. Please print your name: Please list your discussion section number: Please list your discussion instructor:
Physics 40 Fall 005: Final Exam Please print your name: Please list your discussion section number: Please list your discussion instructor: Form #1 Instructions 1. Fill in your name above. This will be
More informationAP Physics C Mechanics Objectives
AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph
More informationPhysics 102 Spring 2006: Final Exam Multiple-Choice Questions
Last Name: First Name: Physics 102 Spring 2006: Final Exam Multiple-Choice Questions For questions 1 and 2, refer to the graph below, depicting the potential on the x-axis as a function of x V x 60 40
More informationPhysics 240 Fall 2003: Final Exam. Please print your name: Please list your discussion section number: Please list your discussion instructor:
Physics 40 Fall 003: Final Exam Please print your name: Please list your discussion section number: Please list your discussion instructor: Form #1 Instructions 1. Fill in your name above. This will be
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2014 Final Exam Equation Sheet. B( r) = µ o 4π
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2014 Final Exam Equation Sheet Force Law: F q = q( E ext + v q B ext ) Poynting Vector: S = ( E B) / µ 0 Force on Current Carrying
More informationPhysics GRE: Electromagnetism. G. J. Loges 1. University of Rochester Dept. of Physics & Astronomy. xkcd.com/567/
Physics GRE: Electromagnetism G. J. Loges University of Rochester Dept. of Physics & stronomy xkcd.com/567/ c Gregory Loges, 206 Contents Electrostatics 2 Magnetostatics 2 3 Method of Images 3 4 Lorentz
More informationMasteringPhysics: Assignment Print View. Problem 30.50
Page 1 of 15 Assignment Display Mode: View Printable Answers phy260s08 homework 13 Due at 11:00pm on Wednesday, May 14, 2008 View Grading Details Problem 3050 Description: A 15-cm-long nichrome wire is
More informationChapter 28. Direct Current Circuits
Chapter 28 Direct Current Circuits Circuit Analysis Simple electric circuits may contain batteries, resistors, and capacitors in various combinations. For some circuits, analysis may consist of combining
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 informationPhys 2102 Spring 2002 Exam 1
Phys 2102 Spring 2002 Exam 1 February 19, 2002 1. When a positively charged conductor touches a neutral conductor, the neutral conductor will: (a) Lose protons (b) Gain electrons (c) Stay neutral (d) Lose
More informationCalculus Relationships in AP Physics C: Electricity and Magnetism
C: Electricity This chapter focuses on some of the quantitative skills that are important in your C: Mechanics course. These are not all of the skills that you will learn, practice, and apply during the
More informationChapter 17 & 18. Electric Field and Electric Potential
Chapter 17 & 18 Electric Field and Electric Potential Electric Field Maxwell developed an approach to discussing fields An electric field is said to exist in the region of space around a charged object
More informationCONDUCTORS + CAPACITORS
CONDUCTORS CAPACITORS Class Activities: Conductors Capacitors (slide 1) Class Activities: Conductors Capacitors (slide 2) Class Activities: Conductors Capacitors (slide 3) 2.30 A point charge q sits outside
More informationCLASS XII WB SET A PHYSICS
PHYSICS 1. Two cylindrical straight and very long non magnetic conductors A and B, insulated from each other, carry a current I in the positive and the negative z-direction respectively. The direction
More informationPhysics 212 Midterm 2 Form A
1. A wire contains a steady current of 2 A. The charge that passes a cross section in 2 s is: A. 3.2 10-19 C B. 6.4 10-19 C C. 1 C D. 2 C E. 4 C 2. In a Physics 212 lab, Jane measures the current versus
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 y-axis at a distance L from the origin, as shown above. A third charge +q is
More informationNotes and Solved Problems for Common Exam 2
Notes and Solved Problems for Common Exam 2 3. GAUSS LAW Key concepts: Gaussian Surface, Flux, Enclosed Charge Gauss Law is equivalent to the Coulomb law but sometimes more useful. Gauss law considers
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 informationChapter 21 Chapter 23 Gauss Law. Copyright 2014 John Wiley & Sons, Inc. All rights reserved.
Chapter 21 Chapter 23 Gauss Law Copyright 23-1 What is Physics? Gauss law relates the electric fields at points on a (closed) Gaussian surface to the net charge enclosed by that surface. Gauss law considers
More informationPhys 2B Final Exam Name:
Phys 2B Final Exam Name: Multiple Choice (3 points each) 1. Two capacitors initially uncharged are connected in series to a battery, as shown. What is the charge on the top plate of C 1? a. 81 μc b. 18
More informationCoulomb 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
More informationFall Lee - Midterm 2 solutions
Fall 2009 - Lee - Midterm 2 solutions Problem 1 Solutions Part A Because the middle slab is a conductor, the electric field inside of the slab must be 0. Parts B and C Recall that to find the electric
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 informationTurn in scantron You keep these question sheets
Exam 1 on FEB. 20. 2018 - Physics 106 R. Schad YOUR NAME ¼À Turn in scantron You keep these question sheets 1) Electric flux through a spherical surface of radius 1m dueto a charge inside [which is the
More information2 Coulomb s Law and Electric Field 23.13, 23.17, 23.23, 23.25, 23.26, 23.27, 23.62, 23.77, 23.78
College of Engineering and Technology Department of Basic and Applied Sciences PHYSICS I Sheet Suggested Problems 1 Vectors 2 Coulomb s Law and Electric Field 23.13, 23.17, 23.23, 23.25, 23.26, 23.27,
More informationPhysics 202 Midterm 1 Practice Exam
Physics 202 Midterm 1 Practice Exam Name: Student ID: Section: TA (please circle): Daniel Crow Scott Douglas Yutao Gong Taylor Klaus Aaron Levine Andrew Loveridge Jason Milhone Hojin Yoo Instructions:
More informationE. not enough information given to decide
Q22.1 A spherical Gaussian surface (#1) encloses and is centered on a point charge +q. A second spherical Gaussian surface (#2) of the same size also encloses the charge but is not centered on it. Compared
More informationNotes and Solved Problems for Common Exam 3 (Does not include Induction)
Notes and Solved Problems for Common Exam 3 (Does not include Induction) 8. MULTI LOOP CIRCUITS Key concepts: Multi loop circuits of batteries and resistors: loops, branches and junctions should be distinguished.
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 informationQuiz 4 (Discussion Session) Phys 1302W.400 Spring 2018
Quiz 4 (Discussion ession) Phys 1302W.400 pring 2018 This group quiz consists of one problem that, together with the individual problems on Friday, will determine your grade for quiz 4. For the group problem,
More informationPhysics 202 Midterm Exam 1 Oct 2 nd, 2012
ID CODE: A Physics 202 Midterm Exam 1 Oct 2 nd, 2012 Name:...Yibin Pan... Student ID:... Section:... TA (please circle): James Buchannan Diptaranjan Das Ross Devol Yutao Gong Minho Kwon Greg Lau Andrew
More informationFinal on December Physics 106 R. Schad. 3e 4e 5c 6d 7c 8d 9b 10e 11d 12e 13d 14d 15b 16d 17b 18b 19c 20a
Final on December11. 2007 - Physics 106 R. Schad YOUR NAME STUDENT NUMBER 3e 4e 5c 6d 7c 8d 9b 10e 11d 12e 13d 14d 15b 16d 17b 18b 19c 20a 1. 2. 3. 4. This is to identify the exam version you have IMPORTANT
More informationAP Physics C 1998 Multiple Choice Questions Electricity and Magnetism
AP Physics C 1998 Multiple Choice Questions Electricity and Magnetism The materials included in these files are intended for use by AP teachers for course and exam preparation in the classroom; permission
More information