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# A cyclotron needs to accelerate electrons to a speed

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A cyclotron needs to accelerate electrons to a speed of 0.95c for experiments. Given that it can provide a magnetic field of 0.5T: a) what is thecyclotron frequency? b) what is theradius of thecyclotron?

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The Velocity Selector The Velocity Selector : allows to select particles that : allows to select particles that moveat thesamevelocity moveat thesamevelocity x x x x x x x x x x Source Detector + v B E a ll , , v B E Find: Conditions so that the path is straight .
Free-body diagram: qvB F M = + qE F E = v B E x Need for straight path 0 = Σ F qE qvB = B E v = for straight path

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Question: Question: qvB F M = + qE F E = v B E x How arethecharges deflected that are either traveling too slow or too fast to travel in a straight line?
Mass Spectrometer Mass Spectrometer : : separates ions according to separates ions according to their mass:chargeratio their mass:chargeratio Ion Source x x x Uniform B x x x x x x x x x radius depends on mass Assume 12 C and 14 C have same charge. Find the ratio of the diameters of the circular paths if the ions have the same speeds Exercise:
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• Spring '08
• DONE
• Particle Physics, Electric charge, tic fie agne, Magnetic Fields Magnetic, fie agne ld, tic ne

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