Magnetism (part 7) - The Magnetic Field of a Current F = qE...

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Magnetism The Magnetic Field of a Current x x x x x x x x x x x x x x x x x x v F B q → → → → → → → → → → v F B q × ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ v F = 0 B q B v q E q F × + =
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Physics 113 Dr. Renat Letfullin 2 Motion of Charge in an Uniform magnetic filed The Earth’s Van Allen Belt The Hall Effect Experimental Activity: Magnetic Field of Solenoids Today.. .
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Physics 113 Dr. Renat Letfullin 3 Motion of Q in uniform B field Force is perpendicular to B,v Circular motion x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x Uniform B into page v F v F v F v F v F v F Solve for R: R v m F 2 = R v m qvB 2 ) sin( = θ qB mv R = R
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Physics 113 Dr. Renat Letfullin 4 Cyclotron Motion Consider a positive charged particle with mass m and charge q moving at velocity v perpendicular to a uniform magnetic field B . The particle will move in a circular path of radius r cyc because of the force F on the particle, which is: 2 cyc mv F qvB r = = cyc mv r qB = cyc cyc cyc (independent of and ) 2 2 v q B f r v r m π π = =
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Physics 113 Dr. Renat Letfullin 5 The Cyclotron Accelerator Because when a charged particle moves in a uniform field, f cyc is independent of both radius and energy, one an “pump” energy into the particle as it cycles, using an
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