An electron experiences the greatest force as it travels 1.7 ✕ 106 m/s in a magn

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An electron experiences the greatest force as it travels 1.7 ✕ 106 m/s in a magnetic field when it is moving southward. The force is upward and of magnitude 2.5 ✕ 10-12 N. What are the magnitude and direction of the magnetic field?


May 26th, 2015

F = qv X B. (Lorentz's law, ref.) The cross product means that when viewed in the direction of F, the direction of the smaller-angle rotation of +qv into +B is clockwise. Note for an electron, q = -1.6022E-19 C. This means qv is negative southward, +qv is northward and thus +B points westward. At the maximum point, F = qvB ==>
B = F/(qv) T.

references

http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/forchg.html#c1
May 26th, 2015

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May 26th, 2015
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