Deuteron in a Magnetic Field

Problem: A magnetic force F = 30 i + 20 j pN acts on a deuteron which is traveling in the z direction at 3.80 x 106 m/s. Find the magnetic field. What is the acceleration of the deuteron?

Solution:

a) A deuteron is a proton-neutron combination; i.e., it is the nucleus of heavy hydrogen.

This is a huge field! Note that, since the cross product of the k's is the null vector, Bz is indeterminate and can be anything:

b) Using Newton's 2d Law: