An electron that is moving through a uniform magnetic field has a velocity v = (42 km/s)i + 31 km/s)j when it experiences a force F = (-5.000×10-15 N)i + (6.774×10-15 N)j due to the magnetic field. If Bx = 0, calculate the magnitude of the magnetic field B. (Tesla = T)
What is By?
What is Bz?
magnetic force Fb = q*(v cross B)
i j k
42 31 0
v x B = 0 By Bz
v x B = i*(31000Bz) + k42000By
Fb = q*(v x B )
-5*10^-15 i + 6.774*10^-15 j = 1.6*10^-19*31000Bz i +
1.6*10^-19*42000By
comparing i
1.6*10^-19*31000Bz = -5*10^-15
Bz = -1 T
comparing j
1.6*10^-19*42000By = 6.774*10^-15
By = -1 T
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