Answer to Question #89903 in Electricity and Magnetism for Victory

Question

Ellen electron y protus proton are traveling through space in a straight line at a distance of 1cm from each other, when suddenly it gets in contact with an magnetic field with a magnetic indudction of 1T. If we assume that they are equally charged and perpendicular to the field, what is the velocity of the particles?

Answer 1

The magnetic force supplies the centripetal force

$$Bqv=\frac {mv^2}{r} (1)$$

where r is the circle radius

Using (1) we get

$$v=\frac { Bqr} {m} (2)$$

Using (2) we have

for electron: v=1.8×10¹¹ r,

for proton: v=9.6×10⁷ r