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2. a periodic part, the projec tion of whic h in the yz plane is c irc ular. Find the angular veloc ity of the
elec tron as s oc iated with the c irc ular c omponent of its motion.
Ex pre ss the m a gnitude of the a ngula r ve locity in te rm s of , the m a gnitude of the e le ctric cha rge , a nd othe r know n qua ntitie s. Hin t 1. Use Newton's 2nd law to determine the force
session.master ing physics.com/myct/assig nmentPr intView?assig nmentID= 2252604 10/19 24 03 2013 HW- 5 The only forc e ac ting on the elec tron is the Lorentz forc e . Us ing Newton's 2nd law, determine the general equation of motion relevant to the problem.
Use for the e le ctron m a ss a nd for the m a gnitude of the a cce le ra tion of the e le ctron due to the Lore ntz force .
= Hin t 2. F ind the magnitude of the Lorentz force
W hat is , the magnitude of the Lorentz forc e ac ting on the elec tron? Ex pre ss your a nsw e r in te rm s of the e le ctron's initia l spe e d in the y dire ction
m a gnitude of the e le ctric cha rge , a nd othe r give n qua ntitie s. , the ANSW ER:
= Hin t 3. Express in terms of The elec tron will ex hibit uniform c irc ular motion in the yz plane. Suppos e the radius of this
motion is . W hat is the relation among , , and ?
= Hin t 4. Express the acceleration in terms of
Us ing the fac t that the elec tron undergoes uniform c irc ular motion, determine how the elec tron's
ac c eleration is related to and .
= ANSW ER:
= Correct T he Cyclotron
session.master ing physics.com/myct/assig nmentPr intView?assig nmentID= 2252604 11/19 24 03 2013 HW- 5 Le a rning Goa l:
To learn the bas ic phy s ic s and applic ations of c y c lotrons .
Partic le ac c elerators are us ed to c reate well-c ontrolled beams of high-energy partic les . Suc h beams have
many us es , both in res earc h and indus try .
One c ommon ty pe of ac c elerator is the c yc lotron, as s hown in the figure. In a c y c lotron, a magnetic field
c onfines c harged parti...
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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.
- Spring '10