An electron in \(B\) orbit around the positive nucleus experiences a repulsive force given by,
\(\cfrac{qq}{4\pi\varepsilon_or^2_e}\rightarrow\pi \cfrac{qq}{4\pi\varepsilon_or^2_e}=\cfrac{qq}{4\varepsilon_or^2_e}\)
Two positive charges in parallel \(B\) orbit experience an attractive force given by,
\(F_a=-\cfrac{qq}{4\varepsilon_or^2_p}\)
Similarly, two negative charges in parallel \(B\) orbit experience an attractive force given by,
\(F_a=-\cfrac{qq}{4\varepsilon_or^2_e}\)
The charges are in orbit because of the initial speed it acquired due to electrostatic attraction between opposite charge. They are held in orbit and kept from collapsing by a magnetic repulsive force.
What happen to two like charges then? Do they coalesce? When they are stopped in their \(B\) orbits, they will immediately repel apart. An instant disintegration!
This might be the rationale behind a particle collider.
