1 / 21

MAXWELL’S EQUATIONS AND BOUNDARY CONDITIONS

MAXWELL’S EQUATIONS AND BOUNDARY CONDITIONS. Static field. Dynamic Field. Faraday’s Law. Electromotive force. Stationary Loop in a Time-varying Magnetic field. Lenz’s law. Faraday’s law, differential form. An example:. (a) The magnetic flux link of a single turn of the inductor.

paulhoffman
Download Presentation

MAXWELL’S EQUATIONS AND BOUNDARY CONDITIONS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MAXWELL’S EQUATIONS AND BOUNDARY CONDITIONS Static field Dynamic Field

  2. Faraday’s Law

  3. Electromotive force Stationary Loop in a Time-varying Magnetic field Lenz’s law

  4. Faraday’s law, differential form An example: (a) The magnetic flux link of a single turn of the inductor. (b) The transformer emf,. (c) The polarity of the emf. (d) The induced current.

  5. Example II Determine the voltage drops across the two resistors

  6. The ideal Transformer properties: •  =  • I = 0 in the core. • The magnetic flux is confined within the core Questions: • I = ?, with applied voltage of V1and with RL • V2, and I2=?

  7. Voltage transformer: Power relations: Why? Current transformer: Impedance transformer:

  8. Moving conductor in a static magnetic field:

  9. Another way to look at it: Next lecture: • The electromagnetic generator • Moving conductor in a time varying magnetic field

  10. The electromagnetic generator

  11. Moving conductor in a time-varying magnetic field Example: I

  12. Displacement current • Ampere’s law in static electric field • Ampere’s law in time-varying electric field • proof of Ampere’s law: Displacement current density

  13. Displacement current • Ampere’s law in time-varying electric field Example:

  14. Boundary conditions for Electromagnetic Maxwell equations boundary conditions

  15. Charge-Current continuity Relation charge current continuity equation steady state integral form Kirchhoff’s current law

  16. Free-charge dissipation in a conductor

  17. Electromagnetic Potentials Electrostatics: Dynamic case:

  18. Retard Potentials Electrostatics: Dynamic case:

  19. Time-Harmonic Potentials

  20. Time-Harmonic Potentials if no free charge, trans-wave, why? • example find k?

  21. n1 x n2 z

More Related