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Magnetic Forces on Charged Particles in a Magnetic Field

Learn about forces on positive and negative charges, motion in magnetic fields, units of magnetic field, and applications in mass spectrometers and current-carrying conductors.

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Magnetic Forces on Charged Particles in a Magnetic Field

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  1. Lecture 11: June 15th 2009 Physics for Scientists and Engineers II Physics for Scientists and Engineers II , Summer Semester 2009

  2. Force on a Charged Particle in a Magnetic Field Physics for Scientists and Engineers II , Summer Semester 2009

  3. Force on a Positive Charge Physics for Scientists and Engineers II , Summer Semester 2009

  4. Force on a Negative Charge Physics for Scientists and Engineers II , Summer Semester 2009

  5. Units of Magnetic Field Physics for Scientists and Engineers II , Summer Semester 2009

  6. Motion of a Charged Particle in a Uniform Magnetic Field Magnetic field vector points into the page Convention: Magnetic field vector points out of the page +q Physics for Scientists and Engineers II , Summer Semester 2009

  7. Motion of a Charged Particle in a Uniform Magnetic Field +q +q +q Physics for Scientists and Engineers II , Summer Semester 2009

  8. Motion of a Charged Particle in a Uniform Magnetic Field Physics for Scientists and Engineers II , Summer Semester 2009

  9. Uniform Magnetic Field Plus Electric Field +q +q E The charge will pass through this crossed magnetic and electric field In a straight line under the following condition:  Velocity selector Physics for Scientists and Engineers II , Summer Semester 2009

  10. The Mass Spectrometer Principle Detector array q Physics for Scientists and Engineers II , Summer Semester 2009

  11. Magnetic Force Acting on a Straight Piece of Current-Carrying Conductor q + A L Physics for Scientists and Engineers II , Summer Semester 2009

  12. …Small Segment of Current-Carrying Conductor Physics for Scientists and Engineers II , Summer Semester 2009

  13. Example (a variation on Example 29.4 – different direction of B) y x What is the net force on this loop? Physics for Scientists and Engineers II , Summer Semester 2009

  14. Net force on the straight section y x Physics for Scientists and Engineers II , Summer Semester 2009

  15. Force on the semicircle y x Physics for Scientists and Engineers II , Summer Semester 2009

  16. Total Force Physics for Scientists and Engineers II , Summer Semester 2009

  17. Torque on a Current Loop in a Uniform Magnetic Field 1 The forces on sections 1 and 3 are equal and opposite. Similarly, the forces on 2 and 4 are equal and opposite. 2 4 3 2 4 Bottom view: Physics for Scientists and Engineers II , Summer Semester 2009

  18. …and rotated by 90 degrees…. 2 Bottom view: 4 Physics for Scientists and Engineers II , Summer Semester 2009

  19. …at some arbitrary angle Physics for Scientists and Engineers II , Summer Semester 2009

  20. Right hand rule to determine direction of A Physics for Scientists and Engineers II , Summer Semester 2009

  21. Magnetic Dipole Moment of the Loop Physics for Scientists and Engineers II , Summer Semester 2009

  22. Magnetic Dipole Moment of the Loop Physics for Scientists and Engineers II , Summer Semester 2009

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