One component of a magnetic field has a magnitude of 0.0353 T and points along t

Question

One component of a magnetic field has a magnitude of 0.0353 T and points along the +x axis, while the other component has a magnitude of 0.0601 T and points along the -y axis. A particle carrying a charge of +1.12

One component of a magnetic field has a magnitude of 0.0353 T and points along the +x axis, while the other component has a magnitude of 0.0601 T and points along the -y axis. A particle carrying a charge of +1.12 times 10-5 C is moving along the +z axis at a speed of 4.89 times 103 m/s. Find the magnitude of the net magnetic force that acts on the particle. Determine the angle that the net force makes with respect to the +x axis.

Explanation / Answer

v = [0i, 0j, 4890k] m/s
B= [0.0353i, -0.061j, 0k] T
En = v x B = 298.29i +172.62j + 0k
q = 1.12*10^-5 C
F = q (v x B) = q*En = [0.00334i + 0.002071j + 0k] N
|F| = sqr(Fx^2+Fy^2) = 3.93 x 10^-3 N

Angle positive x-axis:

Arctan (Fy/Fx) =31.79 degrees

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