Lect_14_note

Lect_14_note - Chapter 29 2 Magnetic Fields Charged Particle in a Magnetic Field Consider a particle moving in an external magnetic field with its

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Chapter 29 - 2 Magnetic Fields
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Magnetic Field F B = q v x B ± Consider a particle moving in an external magnetic field with its velocity perpendicular to the field ± The force is always directed toward the center of the circular path ± The magnetic force causes a centripetal acceleration, changing the direction of the velocity of the particle
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Force on a Charged Particle ± Equating the magnetic and centripetal forces: ± Solving for r : ± r is proportional to the momentum of the particle and inversely proportional to the magnetic field 2 B mv Fq v B r == mv r qB =
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Motion of Charged Particle ± The angular speed of the particle is ± The angular speed, ω , is also referred to as the cyclotron frequency ± The period of the motion is vq B ω rm == 222 π r ππ m T v ω qB ===
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Motion of a Particle, General ± If a charged particle moves in a magnetic field at some arbitrary angle θ with respect to B ± V = V x i + V y j + V z k 22 y z vvv =+ v x = V cos θ = sin θ V θ x
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Motion of a Particle, General ± Its path is a helix 22 y z vvv =+ V x = V cos θ = const.
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This note was uploaded on 01/28/2011 for the course PHYS 011 taught by Professor Nianlin during the Fall '08 term at HKUST.

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Lect_14_note - Chapter 29 2 Magnetic Fields Charged Particle in a Magnetic Field Consider a particle moving in an external magnetic field with its

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