Failed to get answers to the red curved bands of lights of unknown spaceship flown over Kampala, the enigma engulf aurora, that strong force is only a theoretical elusion, neutrons are difficult to replicate. Therefore, I went back in science history searching for a clue, the answer was found in the magnetic field history. The following equations explain that.
When the magnetic effects due to electric current was discovered in 1819 by Hans Christian Oersted , André Ampère determined the circular shape of the magnetic field around conductor carrying electric current , and gave formula for a force between two conductors carrying electric current as:
Where, k is 10 N/A, I1 and I2 are the current in both conductors in amperes, l2 is length of the conductors in meters, d is distance between both conductors in meters and the force Fee is in Newton.
On the other hand, the magnetic field around a moving electrons or protons is the circular magnetic field (CMF) [3, 4, 5], the magnitude of which is given by
Where, c is the speed of light, q is the particle's charge in coulombs, v is the charged particles velocity in m/s, r_m+2 is the magnetic radius at which the CMF is measured
(representing r_me and r_mp or electron's and proton's magnetic radius respectively). The circular magnetic field B2 is given in Tesla.
The Lorentz force is given with electric-magnetic parameters by
Where, theta is the angle between the trajectory and the fields the force Fem. is in Newtons. Equations (1 and 3), while expressing magnetic forces; but based on electrical parameters.
Mechanism behind the attractive and repulsive forces given by Eq.(1) is due to the interaction of magnetic lines of force attractively or repulsively, therefore, the force is expressed magnetically by
Where, constant k= 2x10-7 Newton per square ampere, Bc1 and BC2 are circular magnetic field (CMF) around both conductors (in Tesla) produced by conductors C1 and C2
respectively, while r1 and r2 are the CMF's radii in metre, l1 is the length of the conductor in metres. For the force given by Eq.(3), relating it to Eq.(2), therefore the magnetic force resulted from the Magnetic Interaction, is given by
Where, theta is the angle between the two fields, B1 is the magnetic field in Tesla, B2 is the CMF produced electrons and protons given by Eq. (2) in Tesla, r_m is the CMF's radius in meters and the magnetic force F_m is in Newtons.
All these are more, you can get from the following papers: