# One c ommon ty pe of ac c elerator is the c yc lotron

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Unformatted text preview: c les to c irc ular paths while an os c illating elec tric field ac c elerates them. It is us eful to unders tand the details of this proc es s . Cons ider a c y c lotron in whic h a beam of partic les of pos itive c harge and mas s is moving along a c irc ular path res tric ted by the magnetic field (whic h is perpendic ular to the veloc ity of the partic les ). Par t A Before entering the c y c lotron, the partic les are ac c elerated by a potential differenc e . Find the s peed with whic h the partic les enter the c y c lotron. Ex pre ss your a nsw e r in te rm s of , , a nd . ANSW ER: = Correct Par t B Find the radius of the c irc ular path followed by the partic les . The magnitude of the magnetic field is . Ex pre ss your a nsw e r in te rm s of , , , a nd . Hin t 1. F ind the force Find the magnitude of the forc e ac ting on the partic les . Ex pre ss your a nsw e r in te rm s of , , , a nd . You m a y or m a y not use a ll the se va ria ble s. ANSW ER: session.master ing physics.com/myct/assig nmentPr intView?assig nmentID= 2252604 12/19 24 03 2013 HW- 5 = Hin t 2. F ind the acceleration Find the magnitude of the ac c eleration Ex pre ss your a nsw e r in te rm s of of the partic les . a nd the ra dius of re volution . ANSW ER: = Hin t 3. Solving for Us e Newton's s ec ond law to c ons truc t an equation to be s olved for . ANSW ER: = Correct Par t C Find the period of revolution for the partic les . Ex pre ss your a nsw e r in te rm s of Hin t 1. Relationship between , , a nd . and The period is the amount of time it tak es a partic le to mak e one c omplete orbit. Sinc e the s peed of the partic le is c ons tant, the period will be equal to the dis tanc e the partic le travels in one orbit divided by the partic le's s peed: . ANSW ER: = Correct Note that the period does not depend on the partic le's s peed (nor, therefore, on its k inetic energy ). Par t D session.master ing physics.com/myct/assig nmentPr intView?assig nmentID= 2252604 13/19 24 03 2013 HW- 5 Find the angular frequenc y of the partic les . Ex pre ss your a nsw e r...
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## This homework help was uploaded on 03/08/2014 for the course PHYS 102 taught by Professor Atillaaydınlı during the Spring '10 term at Bilkent University.

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