There is a uniform magnetic field of magnitude 1.5 T in the + z direction. Find
ID: 585625 • Letter: T
Question
There is a uniform magnetic field of magnitude 1.5 T in the +z direction. Find the force on a particle of charge 1.8 nC if its velocity is each of the following. Please explain and show your work!
(a) 1.0 km/s in the y-z plane in a direction that makes an angle of 40° with the z axis (measured from the +z axis to the +y axis).
(b) 1.0 km/s in the x-y plane in a direction that makes an angle of 40° with the x axis (measured from the +x axis to the +y axis).
---Select---
130 degrees relative to the +x axis in the xy-plane.
310 degrees relative to the +x axis in the xy-plane.
parallel to the +x axis in the xy-plane
parallel to the +y axis in the xy-plane
magnitude N direction -x, x, -y, yExplanation / Answer
F = q(v X B) B = 1.5 T k^ q = -1.8 nC
a) F = -1.8 x 10-9 x [ (1000cos40 k^ + 1000 sin40 j^) X 1.5 k^] = -1735.5 x 10-9 N i^
magnitude = 1735.5 x 10-9 N direction = -x
b) F = -1.8 x 10-9 x [ (1000cos40 i^ + 1000 sin40 j^) X 1.5 k^] = (2068.32 j^ -1735.5 i^) x 10-9 N
magnitude = 2700 x 10-9 N direction = tan-(2068.32/1735.5) = 50o from -x towards +y
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