Source of Magnetic Field Ch. 28

Slides:



Advertisements
Similar presentations
Magnetism Part II Field and Flux. Origins of Magnetic Fields Using Biot-Savart Law to calculate the magnetic field produced at some point in space by.
Advertisements

Magnetic Force Acting on a Current-Carrying Conductor
Magnetic Field due to a Current-Carrying Wire Biot-Savart Law
Torque on a Current Loop, 2
Sources of the Magnetic Field
Physics 1304: Lecture 12, Pg 1 The Laws of Biot-Savart & Ampere  dl I.
Physics 2102 Lecture 15 Biot-Savart Law Physics 2102 Jonathan Dowling Jean-Baptiste Biot ( ) Felix Savart (1791–1841)
Chapter 30 Sources of the magnetic field
Example: What is the magnetic field at the center of a circular arc of wire? 1 This will work for any current carrying arc, where  (in radians) is the.
© 2012 Pearson Education, Inc. { Chapter 27 Magnetic Fields and Forces (cont.)
Chapter 28 Sources of Magnetic Field
Chapter 30 Sources of the Magnetic Field
Phy 213: General Physics III Chapter 29: Magnetic Fields to Currents Lecture Notes.
Physics 121 Practice Problem Solutions 10 Magnetic Fields from Currents (Biot-Savart and Ampere’s Law) Contents: 121P10 - 1P, 5P, 8P, 10P, 19P, 29P,
PHY 1361Dr. Jie Zou1 Chapter 30 Sources of the Magnetic Field (Cont.)
Sources of Magnetic Field Chapter 28 Study the magnetic field generated by a moving charge Consider magnetic field of a current-carrying conductor Examine.
Dr. Jie ZouPHY Chapter 30 Sources of the Magnetic Field.
Copyright © 2007, Pearson Education, Inc., Publishing as Pearson Addison-Wesley. Magnets and the magnetic field Electric currents create magnetic fields.
Two questions: (1) How to find the force, F on the electric charge, q excreted by the field E and/or B? (2) How fields E and/or B can be created?
B field of current element (sec. 28.2) Law of Biot and Savart B field of current-carrying wire (sec. 28.3) Force between conductors(sec. 28.4) B field.
Magnetic Fields CHAPTER OUTLINE 29.1 Magnetic Fields and Forces
Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.
Sources of Magnetic Field
Chapter 29. Magnetic Field Due to Currents What is Physics? Calculating the Magnetic Field Due to a Current Force Between Two Parallel.
Lecture 9 Magnetic Fields due to Currents Chp. 30 Cartoon - Shows magnetic field around a long current carrying wire and a loop of wire Opening Demo -
Ampere’s Law AP Physics C Mrs. Coyle Andre Ampere.
Sources of the Magnetic Field
Magnetic Field and Magnetic Forces
Chapter 7. Steady magnetic field 1 EMLAB. B (Magnetic flux density), H (Magnetic field) Magnetic field is generated by moving charges, i.e. current. If.
Copyright © 2012 Pearson Education Inc. PowerPoint ® Lectures for University Physics, Thirteenth Edition – Hugh D. Young and Roger A. Freedman Lectures.
Van Allen Radiation Belts The Van Allen radiation belts consist of charged particles surrounding the Earth in doughnut-shaped regions. The particles are.
Magnetic Fields due to Currents Chapter 29 Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
Physics 202, Lecture 13 Today’s Topics Magnetic Forces: Hall Effect (Ch. 27.8) Sources of the Magnetic Field (Ch. 28) B field of infinite wire Force between.
30.5 Magnetic flux  30. Fig 30-CO, p.927
Review Problem Review Problem Review Problem 3 5.
Fundamental Physics II PETROVIETNAM UNIVERSITY FACULTY OF FUNDAMENTAL SCIENCES Vungtau, 2013 Pham Hong Quang
Copyright © 2009 Pearson Education, Inc. Ampère’s Law.
Physics 2102 Magnetic fields produced by currents Physics 2102 Gabriela González.
CHAPTER OUTLINE 30.1 The Biot–Savart Law 30.2 The Magnetic Force Between Two Parallel Conductors 30.3 Ampère’s Law 30.4 The Magnetic Field of a Solenoid.
Electricity & Magnetism Seb Oliver Lecture 14: Biot-Savart Law.
A positive point charge is moving directly toward point P. The magnetic field that the point charge produces at point P Q points from the charge.
Copyright © 2012 Pearson Education Inc. PowerPoint ® Lectures for University Physics, Thirteenth Edition – Hugh D. Young and Roger A. Freedman Lectures.
Chapter 26 Sources of Magnetic Field. Biot-Savart Law (P 614 ) 2 Magnetic equivalent to C’s law by Biot & Savart . P. P Magnetic field due to an infinitesimal.
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.
Lecture 28: Currents and Magnetic Field: I
© Shannon W. Helzer. All Rights Reserved. 1 Chapter 29 – Magnetic Fields Due to Current.
Copyright © 2012 Pearson Education Inc. PowerPoint ® Lectures for University Physics, Thirteenth Edition – Hugh D. Young and Roger A. Freedman Lectures.
Magnetic Fields due to Currents Chapter 29 Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
Calculating the Magnetic Field Due to a Current
Magnetic Fields due to Currents Chapter 29. The magnitude of the field dB produced at point P at distance r by a current-length element ds turns out to.
1 15. Magnetic field Historical observations indicated that certain materials attract small pieces of iron. In 1820 H. Oersted discovered that a compass.
Chapter 29. Magnetic Field Due to Currents What is Physics? Calculating the Magnetic Field Due to a Current Force Between Two Parallel.
Problem 4 A metal wire of mass m can slide without friction on two parallel, horizontal, conducting rails. The rails are connected by a generator which.
AP Physics ST Biot-Savart Law tutornext.com. Biot-Savart Law Shortly after Oersted discovered connection between a current-carrying wire and a magnetic.
Magnetic Field due to a Current-Carrying Wire Biot-Savart Law
Ampère’s Law Figure Arbitrary path enclosing a current, for Ampère’s law. The path is broken down into segments of equal length Δl.
Magnetic Field due to a Current-Carrying Wire Biot-Savart Law
PHYS 1444 – Section 501 Lecture #16
WEEK 4 Day 1 Magnetic field
Electricity and Magnetism
Magnetic Fields due to Currents
Ampère’s Law Figure Arbitrary path enclosing a current, for Ampère’s law. The path is broken down into segments of equal length Δl.
Lecture 9 Magnetic Fields due to Currents Ch. 30
Magnetic Sources AP Physics C.
Magnetic Sources AP Physics C.
Magnetic Sources AP Physics C.
Magnetic Sources AP Physics C.
Magnetic Sources AP Physics C.
Chapter 30 Examples 4,8.
Presentation transcript:

Source of Magnetic Field Ch. 28 Magnetic field of a moving charge (sec. 28.1) B field of current element (sec. 28.2) B field of current-carrying wire (sec. 28.3) Force between conductors (sec. 28.4) B field of circular current loop (sec. 28.5) Ampere’s Law (sec. 28.6) Applications of Ampere’s Law (sec. 28.7) C 2009 J. Becker

(a) Magnetic field vectors caused by a moving positive point charge (a) Magnetic field vectors caused by a moving positive point charge. At each point, B is perpendicular to the plane containing r and v. (b) Here the charge is moving into the screen.

Electric and magnetic forces on one of a pair of protons moving in E and B fields.

(a) Magnetic field vectors caused by current element dl (a) Magnetic field vectors caused by current element dl. (b) In figure (b) the current is moving into the screen.

Law of Biot and Savart dB = [mo / 4p ] [(I dL x r) / r3] Magnetic field produced by a straight current-carrying wire of length 2a. The direction of B at point P is into the screen. xo Law of Biot and Savart dB = [mo / 4p ] [(I dL x r) / r3]

Magnetic field around a long, straight conductor Magnetic field around a long, straight conductor. The field lines are circles, with directions determined by the right-hand rule.

Parallel conductors carrying currents in the same direction attract each other. The force on the upper conductor is exerted by the magnetic field caused by the current in the lower conductor.

Use Law of Biot and Savart, the integral is simple! dB = mo / 4p (I dL x r) / r3 Magnetic field caused by a circular loop of current. The current in the segment dL causes the field dB, which lies in the xy plane.

See list of important results in the Summary of Ch. 28 on p. 1094 Ampere’s Law Ampere’s Law states that the integral of B around any closed path equals mo times the current, Iencircled, encircled by the closed loop. We will use this law to obtain some useful results by choosing a simple path along which the magnitude of B is constant, (or independent of dl). That way, after taking the dot product, we can factor out |B| from under the integral sign and the integral will be very easy to do. See list of important results in the Summary of Ch. 28 on p. 1094

Some (Ampere’s Law) integration paths for the line integral of B in the vicinity of a long straight conductor. Path in (c) is not useful because it does not encircle the current-carrying conductor.

To find the magnetic field at radius r < R, we apply Ampere’s law to the circle (path) enclosing the red area. For r > R, the circle (path) encloses the entire conductor.

B = mon I, where n = N / L > xo > B = mon I, where n = N / L A section of a long, tightly wound solenoid centered on the x-axis, showing the magnetic field lines in the interior of the solenoid and the current.

Coaxial cable. A solid conductor with radius a is insulated from a conducting rod with inner radius b and outer radius c.

OVERVIEW Review See www.physics.edu/becker/physics51 C 2009J. Becker