ECE-305-Lecture14 - Engineering Electro-Magnetics...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Engineering Electro-Magnetics Engineering Electro-Magnetics ECE-305, Lecture 14 Dennis McCaughey, Ph.D. 16 March 2010
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
03/16/2010 Dennis McCaughey, ECE305, Spring 2010 2 Homework Homework 8.17 8.24 8.29 due Tues March 23
Image of page 2
03/16/2010 Dennis McCaughey, ECE305, Spring 2010 3 Chapter 8: The Steady Magnetic Field Chapter 8: The Steady Magnetic Field Summary Of Maxwell’s Equations for static fields 0 is the magnetic field intensity in 0 v s vol s s d Q dv d Amps d I d meter d ρ = = = = = = D S E L H L J S H B S Ñ Ñ Ñ Ñ Ñ
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
03/16/2010 Dennis McCaughey, ECE305, Spring 2010 4 Biot-Savart Law (Differential Form) Biot-Savart Law (Differential Form) Can not be measured physically Right-hand rule: Magnetic vector points into the paper Units of Amperes per Meter Inverse square law in distance At this point in our development we are dealing with DC currents Reminiscent of Coulomb’s Law 12 1 2 2 0 12 4 R dQ a d R πε = E The Biot-Savart law expresses the magnetic field intensity d H 2 produced by a differential current element I 1 d L 1 . The direction of d H is into the page
Image of page 4
03/16/2010 Dennis McCaughey, ECE305, Spring 2010 5 Biot-Savart Law (Integral form) Biot-Savart Law (Integral form) 2 1) 2) 0 3) 0 4) 4 v s r t d Id a r ρ π ∇• = - ∇• = = × = J J J S L H Ñ Ñ 1) Continuity equation 2) Restricting our discussion to DC currents only 3) From the divergence theorem. The total current crossing any closed surface is zero Condition may be satisfied only by assuming a currrent flowing around a closed path It is this current flowing in a closed surface which must be our experimental source, not the differential element 4) Biot-Savart Law (Integral Form)
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern