Understanding Magnetostatics in Electromagnetics

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Explore the principles of magnetostatics, including the right-hand rule, magnetic field visualization, calculation of magnetic forces, and the operation of a DC motor in this comprehensive electromagnetics course with Dr. Markovic. Dive deep into magnetic force concepts and applications through engaging lectures and visual materials.

  • Magnetostatics
  • Electromagnetics
  • Dr. Markovic
  • Magnetic Forces
  • Visualization
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  1. Magnetostatics EEE 161 EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 1

  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 8/19/2025 2

  3. Week 13, Video 1 VECTOR CROSS PRODUCT EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 3

  4. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 4

  5. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 5

  6. Week 13, Lecture 2 MAGNETIC FORCE ON A CURRENT- CARRYING CONDUCTOR EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 6

  7. Force on a conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 7

  8. Force on a conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 8

  9. Force on a conductor EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 9

  10. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 10

  11. Magnetic Force on a Current Element If the field was coming out of the page EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 11

  12. Week 13, Lecture 3 RIGHT-HAND RULE EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 12

  13. 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 8/19/2025 13

  14. Week 13, Lecture 2 MAGNETIC FORCE BETWEEN TWO CURRENT-CARRYING CONDUCTORS EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 14

  15. Force between two conductors EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 15

  16. Force between two conductors EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 16

  17. Force between two conductors EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 17

  18. Week 13, Video 2 DC MOTOR EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 18

  19. Magnetic Force on a Current Loop EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 19

  20. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 20

  21. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 21

  22. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 22

  23. Socrative Quiz #2 EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 23

  24. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 24

  25. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 25

  26. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 26

  27. Week 13, Video 4 AMPERE S LAW EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 27

  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 8/19/2025 28

  29. Ampres Law EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 29

  30. 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 wire) 3. What is the contour piece dl? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 30

  31. 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 8/19/2025 31

  32. Why can we take H in front of the integral? Why is H a constant? EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 32

  33. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 33

  34. Radius of wire a EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 34

  35. Example: Internal Magnetic Field of Long Conductor For r < a EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 35 Cont.

  36. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 36

  37. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 37

  38. Week 13, Video 5 EXAMPLE CALCULATING INDUCTANCE FROM MAGNETOSTATIC ENERGY EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 38

  39. How can you calculate inductance? Magnetostatic energy Electrostatic energy EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 39

  40. Example: Using Magnetic Energy Density to find Inductance Magnetic field in the insulating material is Current is given EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 40

  41. Example: Magnetic Energy Density Magnetic field in the insulating material is The magnetic energy stored in the coaxial cable is EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 41

  42. Example: Magnetic Energy Density The magnetic energy stored in the coaxial cable is EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 42

  43. EEE 161 Electromagnetics - Magnetostatics Dr. Markovic 8/19/2025 43

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