Question

A particle with a charge of

33.0 μC moves with a speed of
62.9 m/s in the positive
x-direction. The magnetic field in this region of space has a component of 0.530 T in the positive
y-direction and a component of 0.889 T in the positive
z-direction. What is the direction of the magnetic force on the particle relative to the positive z-axis?

Answer 1

The magnetic force on the particle is directed opposite to the positive x-axis.

The direction of the magnetic force on the particle relative to the positive z-axis can be determined by using the right-hand rule for cross products. In this case, the force is given by the equation F = q(v x B), where q is the charge of the particle, v is the velocity vector, and B is the magnetic field vector.

First, we need to find the cross product of v and B. Since v is in the positive x-direction and B has components in the positive y and positive z directions, the resulting cross product will have a component in the negative x-direction. So, the magnetic force on the particle is directed opposite to the positive x-axis.