One component of a magnetic field has a magnitude of 0.0305 T and points along t

Question

One component of a magnetic field has a magnitude of 0.0305 T and points along the +x axis, while the other component has a magnitude of 0.0799 T and points along the -y axis. A particle carrying a charge of +2.36

One component of a magnetic field has a magnitude of 0.0305 T and points along the +x axis, while the other component has a magnitude of 0.0799 T and points along the -y axis. A particle carrying a charge of +2.36 times 10-5 C is moving along the +z axis at a speed of 4.42 times 103 m/s. (a) Find the magnitude of the net magnetic force that acts on the particle. (b) Determine the angle that the net force makes with respect to the +x axis.

Explanation / Answer

Fx = Bx*q*v*sin(90) = 3.18*10^-3 N
Fy = By*q*v*sin(90) = 8.335*10^-3 N

Fnet = sqrt(fx^2+Fy^2) = 8.92*10^-3 N

theta = tan^-1(Fx/Fy) = 20.88 degrees with +x axis

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