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Chrome Fie Edit View History Bookmarks People Window Help ? ? 10% D Tue 9:56 PM . // y. Physics 1302-5B Homework» ? G IA Cyclotron ec Secure https:/www.webassign. net/web/Student/Assignment-Responses/submirndep-18958142 charg)?C Search Textbook Soktions c Autumn 4 3 days remaining in your free trial. Purchase access.now 22.11 P081 My A cyclotron accelerates charged partices as shown in theen2m, calculate the frequency (in ME)of the accelerating volitage needed for a proton in a g8 1.10 T field. AC voltage Dees' Gap

Explanation / Answer

T = 2*pi*m/q*B

for proton:

q = 1.602*10^-19 C

m = 1.673*10^-27 Kg

and

B = 1.10 T

Use:

T = 2*pi*m/q*B

= 2*3.14*(1.673*10^-27)/(1.602*10^-19)*1.10

= (1.051*10^-26) / (1.762*10^-19)

= 5.964*10^-8 s

now use:

f = 1/T

= 1/(5.964*10^-8 s)

= 1.68*10^7 Hz

= 16.8 MHz

Answer: 16.8 MHz

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