lecture19 - Charged Particles in Electric and Magnetic...

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Charged Particles in Electric Charged Particles in Electric and and Magnetic Fields Magnetic Fields Motion of charged particles Lorentz Force Examples: cyclotron, mass spectrometer
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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
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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
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1) Uniform B B , , v v perpendicular to B B + q v 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
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Example: Example: A proton is moving in a circular orbit of radius 14cm in a uniform magnetic field of 0.35T directed perpendicular to the velocity of the proton. Find the orbital speed of the proton.
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2) Uniform B, v not
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This note was uploaded on 01/13/2011 for the course PHYSICS Physics 1E taught by Professor Venus during the Winter '03 term at McMaster University.

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lecture19 - Charged Particles in Electric and Magnetic...

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