lecture19 - Charged Particles in Electric Charged Particles...

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Unformatted text preview: Charged Particles in Electric Charged Particles in Electric and and Magnetic Fields Magnetic Fields Motion of charged particles Lorentz Force Examples: cyclotron, mass spectrometer Recall: Recall: In general: Lorentz Force E q F = E q B v q F + = in a magnetic field B v q F = in an electric field Magnetic Fields: Magnetic Fields: F F = = q q v v B B q x x x x x x x x v v F F + The force is perpendicular to the velocity (and path), so: no work is done by B kinetic energy is constant speed is constant Only the direction of the motion changes due to the magnetic force. B B 1) Uniform 1) Uniform B B , , v v perpendicular to perpendicular to B B + q v x x x x x x x x Motion is a circle . F Magnetic force ( v ) is F m = qvB (constant) But F c = mv 2 /r , so the radius of circle is : mv r qB = r Example: Example: A proton is moving in a circular orbit of radius 14cm in a...
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lecture19 - Charged Particles in Electric Charged Particles...

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