Phys 0175 - Lecture 21

# Phys 0175 - Lecture 21 - Lecture 21(Mar 2 2009 Chapter 28...

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Lecture 21 (Mar. 2, 2009): Chapter 28: Magnetic Field, Magnetic Forces Magnetic force on a moving charge Illustrative example Applications Magnetic force on a current-carrying conductor Illustrative examples

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Force exerted by a magnetic field on a charged particle: The magnetic force is zero if the particle is at rest. If the particle has non-zero velocity v , the magnitude and direction of the magnetic force depends on the magnitude of the velocity, the magnitude of the magnetic field, and on the angle between the velocity and the direction of the magnetic field F q v B = × r r r sin F q v B φ = r r r
Electrons circulating in a chamber containing gas at low pressure. R 2 B c F F mv qvB R mv R qB = = =

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Mass spectrometer: 2 1 2 2 qV qV mv v m = =
Illustrative Example 21.1: The diagram shows the path of a particle through six regions of uniform magnetic field, where the path is either a half-circle or a quarter-circle. Upon leaving the last region the particle travels between two charged, parallel plates and is deflected towards the plate of higher potential. What is the direction of the magnetic field in each of the six regions?

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If a particle’s velocity has components perpendicular to the magnetic field and parallel to the magnetic field, the particle will move in a helical path.
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