We are looking to find the charge of a particle with a known mass, moving in a magnetic field with the same path as that of one with a known charge and different mass.
We are looking to find the charge of a particle with a known mass, moving in a magnetic field with the same path as that of one with a known charge and different mass. The equation that relates charge, magnetic field strength, velocity and force is the Lorenz equation: `F = q(E+vxxB)` where F is the force, E is the electric field (in this question assumed to be 0), v is the velocity and B is the strength of the magnetic field. It can be deduced that because particle`m_2` is curving in an opposite direction to mass `m_1`, that the charges must be related by `q_1=-xq_2` for some positive x. Knowing this, the direction of the velocity and be ignored and from now on, I will focus only on the magnitude of the vectors. The equation which incorporates mass and force is Newton’s second law: `F=ma` where m is the particle mass and a is the acceleration. In circular motion, the acceleration is of a fixed intensity perpendicular to the velocity. The final equation we need is one which links the m