5. magnetsoln - PHYS 221 General Physics II - Calculus...

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PHYS 221 General Physics II - Calculus Supplement Grist Homework Solution “The Magnetic Force” Problem: An electron moves in a circular orbit (according to the Bohr model of the atom) around a proton of radius 5.3 X 10 -11 m with a velocity of 2.2 X 10 6 m/s. What magnetic field is produced at the proton? Remember, the magnetic field is a vector, so be sure to give the magnitude and direction. Solution: The magnitude of the magnetic field is given by the relationship: 2 4 o qv B r µ π = JG where 6 126 10 . o Tm A Putting in our values gives: () 61 9 6 2 11 12 0 161 0 221 0 45 31 0 .. . . m C As B m −− ⎛⎞ ×× × ⎜⎟ ⎝⎠ == × 12.6T The direction is given by the cross-product of the velocity of the charge (the electron) and the
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