The circular orbits of electron and positron should not overlap when the centres are bigger than 2R.
Let the distance between Cp and Ce be denoted by d.
Then d2 = 4R2 + 9/4R2 – 6R2 cosθ
Because d exceeds 2R,
9/4 > 6 cos (or 3/8 cos)
An electron and a positron are released from (0, 0, 0) and (0, 0, 1.5R) respectively, in a uniform magnetic field each with an equal momentum of magnitude p = eBR. Under what conditions on the direction of momentum will the orbits be non-intersecting circles?
An electron and a positron are released from (0, 0, 0) and (0, 0, 1.5R) respectively, in a uniform magnetic field each with an equal momentum of magnitude p = eBR. Under what conditions on the direction of momentum will the orbits be non-intersecting circles?