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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Physics for Scientists and Engineers II, Summer Semester Total Force

Physics for Scientists and Engineers II, Summer Semester Torque on a Current Loop in a Uniform Magnetic Field The forces on sections 1 and 3 are equal and opposite. Similarly, the forces on 2 and 4 are equal and opposite. Bottom view: 24

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

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

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

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

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