1 / 102

Magnetostatics

Magnetostatics. EEE 161. Learning Objectives. Students will be able to Apply cross product (right-hand rule) Visualize magnetic field from a straight conductor Calculate the magnetic force On a conductor in an external magnetic field Between two current-carrying conductors

karenj
Download Presentation

Magnetostatics

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. Magnetostatics EEE 161 EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  2. Learning Objectives • Students will be able to • Apply cross product (right-hand rule) • Visualize magnetic field from a straight conductor • Calculate the magnetic force • On a conductor in an external magnetic field • Between two current-carrying conductors • Explain operation of a simple DC-motor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  3. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  4. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  5. Force on a conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  6. Force on a conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  7. Force on a conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  8. Magnetic Force on a Current Element If the field was coming out of the page EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  9. Right Hand Rule Number of magnetic field lines unit is Weber http://en.wikipedia.org/wiki/File:Manoderecha.svg EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  10. Force between two conductors EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  11. Force between two conductors EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  12. Force between two conductors EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  13. Magnetic Force on a Current Element EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  14. Magnetic Force on a Current Loop EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  15. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  16. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  17. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  18. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  19. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  20. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  21. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  22. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  23. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  24. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  25. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  26. Socrative MS EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  27. MS#1 Loop of current is given. It is fixed in the middle of top and bottom wires. Magnetic flux density B. Find the direction of the forces on the loop and CW, CCW? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  28. How do we find H? Ampere’s law Bio-Savart’s Law How do we find E? Gauss’ Law Coulomb’s Law EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  29. Mag field from a straight conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  30. Magnetic Field due to Current Distributions EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  31. Magnetic Field of a Current Loop This problem is too difficult for the final, but if you understand this problem, you will be able to solve all other problems like this. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  32. http://web.mit.edu/8.02t/www/802TEAL3D/visualizations/magnetostatics/index.htmhttp://web.mit.edu/8.02t/www/802TEAL3D/visualizations/magnetostatics/index.htm EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  33. Magnetic Field of a Current Loop r here is the distance vector, that is why we have r^3 in the denominator. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  34. What is the distance vector between the current and the observation point? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  35. Distance vector EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  36. What is dl? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  37. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  38. Final expression for the fields These integrals have to be solved numerically. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  39. How does this look? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  40. MS#2: Magnetic Field of Linear Conductor Example 5.2 Show what dl is Find components of R (find R through position vectors of dl and P) Show mathematically x-product between R, dl Confirm using RHR direction of H Integrate over z not Theta (use Wolframalpha.com) EEE 161 Electromagnetics - Magnetostatics Dr. Markovic Cont.

  41. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  42. MS#2: Magnetic Field of Linear Conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  43. Ampère’s Law EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  44. Guided Example: Magnetic field of an infinite line of current 1. What is the direction of magnetic field? 2.Then we have to pick an appropriate contour (we pick circle because the magnetic field is constant on this circle – all points are the same distance away from the circle) 3. What is the contour piece dl? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  45. What is the direction of magnetic field? Magnetic field on this circle will be constant (all points are the same distance away from the source (current) EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  46. Why can we take H in front of the integral? Why is H a constant? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  47. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  48. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  49. Example: External Magnetic Field of Long Conductor For r > a EEE 161 Electromagnetics - Magnetostatics Dr. Markovic

  50. Example: Internal Magnetic Field of Long Conductor For r < a EEE 161 Electromagnetics - Magnetostatics Dr. Markovic Cont.

More Related