AP Physics C Montwood High School R. Casao

Slides:

Advertisements

Similar presentations

Energy stored in Magnetic Fields

Advertisements

Unit 1 Day 10 Electric Flux & Gauss’s Law

Electric Potential AP Physics Montwood High School R. Casao.

PH0101 UNIT 2 LECTURE 2 Biot Savart law Ampere’s circuital law

MAXWELL’S EQUATIONS 1. 2 Maxwell’s Equations in differential form.

Maxwell’s Equations The two Gauss’s laws are symmetrical, apart from the absence of the term for magnetic monopoles in Gauss’s law for magnetism Faraday’s.

Maxwell’s Equations and Electromagnetic Waves

General form of Faraday’s Law

Chapter 10 Time-Varying Fields and Maxwell’s Equations Two New Concepts: The electric field produced by a changing magnetic field (Faraday) The magnetic.

-Generators -Motors -Eddy Currents -Maxwell’s Four Equations AP Physics C Mrs. Coyle.

Magnetic Flux Conservation Stage manager: Prof. Peter von Brentano Operator: Dr. G. Pascovici.

Electromagnetic Waves

Chapter 31 Faraday’s Law.

Chapter 18: Electric Forces and Fields

Electromagnetic Induction We address now the question: what is the physics behind electric power generation? Let’s follow the experimental path to Faraday’s.

Chapter 24 Gauss’s Law.

Chapter 24 Gauss’s Law.

8/5/08Lecture 2 Part 21 Maxwell’s Equations of the Electromagnetic Field Theory Gauss’s Law – charge makes an electric field The magnetic field is solenoidal.

Chapter 24 Gauss’s Law.

The Electric and Magnetic fields Maxwell’s equations in free space References: Feynman, Lectures on Physics II Davis & Snyder, Vector Analysis.

MIDTERM 3 UTC Thu-Nov 15, 7:00PM - 9:00PM Course Summaries Unit 1, 2, 3 Provided TA session Monday Homework Review (attendance optional) Bring pencils,

Magnetic Flux AP Physics C Montwood High School R. Casao.

& Electromagnetic Waves.  equivalent to Coulomb’s law.

Maxwell’s Equations Maxwell Summarizes all of Physics using Fields.

Jaypee Institute of Information Technology University, Jaypee Institute of Information Technology University,Noida Department of Physics and materials.

Electric and Magnetic Constants

Copyright © 2009 Pearson Education, Inc. Chapter 34 Electromagnetic Waves.

General electric flux definition

-Lenz’s Law -Induced Current and Electric Fields

Chapter 24 Electromagnetic waves. So far you have learned 1.Coulomb’s Law – Ch There are no Magnetic Monopoles – Ch Faraday’s Law of Induction.

Displacement Current and the Generalized Ampere’s Law AP Physics C Montwood High School R. Casao.

Tuesday, Dec. 6, 2011PHYS , Fall 2011 Dr. Jaehoon Yu 1 PHYS 1444 – Section 003 Lecture #24 Tuesday, Dec. 6, 2011 Dr. Jaehoon Yu Achievements of.

1 Expression for curl by applying Ampere’s Circuital Law might be too lengthy to derive, but it can be described as: The expression is also called the.

General electric flux definition The field is not uniform The surface is not perpendicular to the field If the surface is made up of a mosaic of N little.

1 Electric Field – Continuous Charge Distribution As the average separation between source charges is smaller than the distance between the charges and.

Coulomb´s Law & Gauss´s Law

Fall 2008Physics 231Lecture 9-1 Electromagnetic Induction.

Chapter 31 Faraday’s Law. Michael Faraday Great experimental physicist Great experimental physicist 1791 – – 1867 Contributions to early electricity.

James Clerk Maxwell. Maxwell’s Equations 1.Gauss’ Law for E-fields –Electric charges are the beginning (source) or end (drain) of field lines 2.Gauss’s.

Maxwell’s Equations If we combine all the laws we know about electromagnetism, then we obtain Maxwell’s equations. These four equations plus a force law.

Chapter 21 Electromagnetic Waves. General Physics Exam II Curve: +30.

Electromagnetism Lenz’s law and Maxwell’s equations By: Mahdi Dardashtian.

CH-32: Maxwell's Equations (4) Gauss' law for electricity: Gauss' law for magnetism: Relates net electric flux to net enclosed electric charge. Relates.

Magnetic domains. Electric and magnetic constants In the equations describing electric and magnetic fields and their propagation, three constants are.

Chapter 22 Electromagnetic Waves 22-1Changing Electric Fields Produce Magnetic Fields; Maxwell Equations James Clerk Maxwell ( )… showed that.

VI. Electromagnetic Waves All the important physics in electromagnetism can be expressed in four Maxwell’s Equations, the Lorentz force and.

Maxwell’s Equations and Electromagnetic Waves

Electric Field-Intro Electric force is a field force. Field forces can act through space, i.e. requires no physical contact. Faraday developed the concept.

Chapter 32 Maxwell’s Equations Electromagnetic Waves.

Magnetic Fields. Magnetic Fields and Forces a single magnetic pole has never been isolated magnetic poles are always found in pairs Earth itself is a.

The first pair of Maxwell’s equations Section 26.

Announcements Generalized Ampere’s Law Tested I I Consider a parallel plate capacitor that is being charged Try Ampere’s modified Law on two nearly identical.

Waves from the Sun Electromagnetic Wave Electric field – The electric field E at a point is defined as the force per unit charge experienced by a small.

Unit 4 Day 11 – Gauss’s Law for Magnetism

Weds. November 30, PHYS , Dr. Andrew Brandt PHYS 1444 – Section 04 Lecture #23 Wednesday November 30, 2011 Dr. Andrew Brandt Last HW Dec.

Maxwell’s Equations A Student’s Guide To Maxwell’s Equations A Student’s Guide To Maxwell’s Equations by Daniel Fleisch (2008) Cambridge University Press.Daniel.

Patterns of Fields: Gauss’ Law, Ampere’s Law M&I Chapter 22.

Electromagnetism Faraday & Maxwell. Maxwell James Clerk Faraday ( ) was an Scottish scientist. He was a gifted mathematician and one of the first.

Chapter 24 Classical Theory of Electromagnetic Radiation.

Maxwell’s Equations. Four equations, known as Maxwell’s equations, are regarded as the basis of all electrical and magnetic phenomena. These equations.

Review on Coulomb’s Law and the electric field definition

Last Time Faraday's Law Inductance and RL (RLC) circuit.

Faraday’s Law M&I Chapter 23. Maxwell’s Equations (so far…) *Not complete.

Electromagnetic Theory

Trivia Question James Clerk Maxwell ( ) was famous for showing that electric and magnetic fields travel through space at the speed of light. Which.

Chapter 31 Electromagnetic Fields and Waves

Maxwell’s Equations and Electromagnetic Waves

Lesson 12 Maxwells’ Equations

Chapter 23 Faraday’s Law.

Electromagnetic Induction

Presentation transcript:

AP Physics C Montwood High School R. Casao Maxwell’s Equations AP Physics C Montwood High School R. Casao

Four equations, known as Maxwell’s equations, are regarded as the basis of all electrical and magnetic phenomena. These equations are as fundamental to electromagnetic phenomena as Newton’s laws are to mechanical phenomena. The theory developed by Maxwell turned out to be in agreement with Einstein’s theory of relativity. The equations predicted the existence of electromagnetic waves (traveling patterns of electric and magnetic fields), which travel at a speed of

Time Sequence of E and B

The theory also showed that electromagnetic waves are radiated by accelerating charges. Maxwell’s equations (in free space):

Gauss’ law states that the total electric flux thru any closed surface equals the net charge inside that surface divided by εo. The law relates the electric field to the charge distribution, where electric field lines originate on positive charges and terminate on negative charges. Gauss’s law in magnetism says that the net magnetic flux thru a closed surface is zero. The number of magnetic field lines that enter a closed volume must equal the number of magnetic field lines that leave that volume. Magnetic field lines cannot begin or end at any point. If they did, isolated magnetic monopoles would exist at those points. Magnetic monopoles have never been observed.

Faraday’s law of induction describes the relationship between an electric field and a changing magnetic flux. The line integral of the electric field around any closed path (which equals the EMF) equals the rate of change of magnetic flux thru any surface area bounded by that path. Ampere-Maxwell’s equation describes the relationship between magnetic and electric fields and electric currents. The line integral of the magnetic field around any closed path is determined by the sum of the net conduction current thru that path and the rate of change of electric flux thru any surface bounded by that path.

Once the electric and magnetic fields are known at some point in space, the force on a particle of charge q can be calculated from the expression: The force is called the Lorentz force.