Ch19_Part2 - Chapter 19 part 2 PHY213 Ch 19 Magnetism(Cont...

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Chapter 19, part 2 PHY213 1 Ch. 19: Magnetism (Cont.) s Skip 9.5 s Motion of a charged particle in a magnetic field s Magnetic field around a wire s Magnetic field of a current loop s Magnetic force between two wires (Ampere defined) s Solenoids s Magnetic Domains Force on a Charged Particle in a Magnetic Field s Consider a particle moving in an external magnetic field so that its velocity is perpendicular to the field s The force is always directed toward the center of the circular path s The magnetic force causes a centripetal acceleration, changing the direction of the velocity of the particle Force on a Charged Particle s Equating the magnetic and centripetal forces: s Solving for r: s r is proportional to the momentum of the particle and inversely proportional to the magnetic field s Sometimes called the cyclotron equation r mv qvB F 2 = = qB mv r = Particle Moving in an External Magnetic Field s If the particle’s velocity is not perpendicular to the field, the path followed by the particle is a spiral s The spiral path is called a helix
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Chapter 19, part 2 PHY213 2 Lecture Quiz #8 s The find the period, T , of the cyclotron orbit in terms of q,m,v,B, and r . the period is The time for one complete orbit. (Hint: Start with v=d/T , where d is the circumference of the orbit) s What variable(s) does the period depend on? What does it not depend on? s Cyclotron frequency = 1/ T . What is the cyclotron frequency for a proton in a magnetic field of B=2.0 Tesla. Hans Christian Oersted s 1777 – 1851 s Best known for observing that a compass needle deflects when placed near a wire carrying a current s First evidence of a connection between electric and magnetic phenomena Magnetic Fields – Long Straight Wire s A current-carrying wire produces a magnetic field s The compass needle deflects in directions tangent to the circle s The compass needle points in the direction of the magnetic field produced by the current Direction of the Field of a
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This note was uploaded on 08/25/2009 for the course PHY 213 taught by Professor Cao during the Summer '08 term at Kentucky.

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Ch19_Part2 - Chapter 19 part 2 PHY213 Ch 19 Magnetism(Cont...

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