ece107_set7_nbg

ece107_set7_nbg - ECE 107 Electromagnetism Set 7 Dynamic...

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

View Full Document Right Arrow Icon
1 ECE 107: Electromagnetism Set 7: Dynamic fields Instructor: Prof. Vitaliy Lomakin Department of Electrical and Computer Engineering University of California, San Diego, CA 92093
Image of page 1

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

View Full Document Right Arrow Icon
2 Maxwell s equations Maxwell s equations Goals of this chapter To close the loop between dynamics and statics To explain effects introduced by time variations To extend some results from static to dynamics t ∇× = B E t ∇× = + D H J ρ ∇⋅ = D 0 ∇⋅ = B 12 2 1 12 2 1 12 2 1 12 2 1 ˆ ( ) 0 ˆ ( ) ˆ ( ) ˆ ( ) 0 s s ρ × = = × = = n E E n D D n H H J n B B ε μ = = D E B H E d l = d dt B d s ∫∫ H d l = d dt D d s ∫∫ + I D d s ∫∫ = Q B d s ∫∫ = 0 ε μ = = D E B H
Image of page 2
3 Faraday s law Faraday s law: Magnetic flux: Electromotive force voltage: induces currents in a wire loop. The currents produce the flux that opposes the inducing flux (Lenz s law) allows for transformers, generators, motors, etc.! Its existence is a foundation of Electromagnetics E d l C = d dt B d s S ∫∫ S d Φ = ∫∫ B s emf S d d V d dt dt Φ = = ∫∫ B s emf V emf V
Image of page 3

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

View Full Document Right Arrow Icon
Transformers: Current à mutual flux Flux à voltage Energy conservation à Faraday s law (2) I 1 V 1 = I 2 V 2 I 1 I 2 = N 2 N 1 V 1 = N 1 d Φ dt , V 2 = N 2 d Φ dt V 1 V 2 = N 1 N 2
Image of page 4
Electric generator: Rotating loop in a magnetic field à EMF Electric motor:
Image of page 5

Info iconThis 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