20. The figure below shows four arrangements in which long () parallel, equally
ID: 2304186 • Letter: 2
Question
20. The figure below shows four arrangements in which long () parallel, equally spaced wires carry equal currents directly into or out of the page. In which arrangement is the magnitude of the net force on the central wire due to the currents in the other wires the greatest? (d rproblerm: A ? problem solutions must be written clearly with suficient explanation so that the logical steps to your solution are clear. If I can't understand your work, I cannot give you full credit even if your ort n final answer is correct. Circle your final namerical answers /10pts] A particle moves along a cíle in a region ofuniform magnetic field ofmagnitude B-150 T. x 101 N. What are (a) the particle's speed, (b) the radius of the circle, and (c) the period of the 1 The particle is either a proton or an electron (you must determine which), It experiences a magnetic force of magnitude 3.2 motion? OB
Explanation / Answer
Given,
Magnetic field, B = 1.5 T
Force, F = 3.2 X 10-12 N
Considering diagram, using right hand palm rule we can conclude that particle is a Proton.
A) F = B q v
v = F/ B q = (3.2 X 10-12)/(1.5 X 1.6 X 10-19) = 1.33 X 107 m/s
B) Radius, r = m v / q B = (1.67 X 10-27 X 1.33 X 107)/(1.6 X 10-19 X 1.5) = 0.093 m
C) Period, T = (2 pi r)/ v = (2 pi X 0.093)/ (1.33 X 107) = 4.38 X 10-8 sec
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