Question

A 9 microcoulomb test charge moves along +x-axis at a speed of 300,000 m/s in the region of 0.75 T magnetic field. Determine the magnetic force on the charge if (a) the field is out of the page; (b) the field is into the page; (c) the field is

downward; (d) the field is upward; (e) the field is 30° above horizontal.

Answer 1

Assuming +x-axis is in the plane of the page:

(a) $F=qvB\sin90°=2\text{ N}.$

(b) $F=qvB\sin90°=2\text{ N}.$

(c) $F=qvB\sin90°=2\text{ N}.$

(d) $F=qvB\sin90°=2\text{ N}.$

(e) $F=qvB\sin30°=1\text{ N}.$