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Lecture 11: June 15 th 2009. Physics for Scientists and Engineers II. Force on a Charged Particle in a Magnetic Field. Force on a Positive Charge. Force on a Negative Charge. Units of Magnetic Field. Motion of a Charged Particle in a Uniform Magnetic Field.
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Lecture 11: June 15th 2009 Physics for Scientists and Engineers II Physics for Scientists and Engineers II , Summer Semester 2009
Force on a Charged Particle in a Magnetic Field Physics for Scientists and Engineers II , Summer Semester 2009
Force on a Positive Charge Physics for Scientists and Engineers II , Summer Semester 2009
Force on a Negative Charge Physics for Scientists and Engineers II , Summer Semester 2009
Units of Magnetic Field Physics for Scientists and Engineers II , Summer Semester 2009
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
Motion of a Charged Particle in a Uniform Magnetic Field +q +q +q Physics for Scientists and Engineers II , Summer Semester 2009
Motion of a Charged Particle in a Uniform Magnetic Field Physics for Scientists and Engineers II , Summer Semester 2009
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
The Mass Spectrometer Principle Detector array q Physics for Scientists and Engineers II , Summer Semester 2009
Magnetic Force Acting on a Straight Piece of Current-Carrying Conductor q + A L Physics for Scientists and Engineers II , Summer Semester 2009
…Small Segment of Current-Carrying Conductor Physics for Scientists and Engineers II , Summer Semester 2009
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
Net force on the straight section y x Physics for Scientists and Engineers II , Summer Semester 2009
Force on the semicircle y x Physics for Scientists and Engineers II , Summer Semester 2009
Total Force Physics for Scientists and Engineers II , Summer Semester 2009
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
…and rotated by 90 degrees…. 2 Bottom view: 4 Physics for Scientists and Engineers II , Summer Semester 2009
…at some arbitrary angle Physics for Scientists and Engineers II , Summer Semester 2009
Right hand rule to determine direction of A Physics for Scientists and Engineers II , Summer Semester 2009
Magnetic Dipole Moment of the Loop Physics for Scientists and Engineers II , Summer Semester 2009
Magnetic Dipole Moment of the Loop Physics for Scientists and Engineers II , Summer Semester 2009