1.Positively charged protons moving at 2.7x10 8 m/s enter a 0.05 Tesla magnetic

Question

1.Positively charged protons moving at 2.7x108 m/s enter a 0.05 Tesla magnetic field. The field is uniform and is coming out of the page (see diagram) and the protons enter at right angles to the field (mproton = 1.67x10-27 kg, qproton = 1 e =1.60x10-19 C).

a)Find the radius of the cyclotron orbits of the protons.

r=56.4 m

b)Find the period in seconds and frequency of the cyclotron motion for the protons in this field.

T=1.3x10^-6 sec

f=7.6x10^5 Hz

c)       Use the right hand rule to determine whether the protons go clockwise or counterclockwise in their orbits.

clockwise

Explanation / Answer

apply r = mv/qB

r = 1.67*10^-27 * 2.7e8/(1.6e-19 *0.05)

r = 56.39 m

------------------------------

2 T = 2pim/qB

T = 2*3.14* 1.67*10^-27/(1.6e-19*0.05)

T = 1.3*10^-6 secs

-------------------------------------

as f =1/T = 1/1.3 = 7.7*10^5 Hz

-----------------------------

clockwise

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.