Electromagnetic Fields

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The code used in this chapter can be found here.

Chapter 4: Magnetism

Magnets have two poles called north and south. The two poles attract eachother and repell themselves in similar fashion to positive and negative charges. The force they exert on each other is the magnetic force and is caused by the magnetic field.

The Magnetic field is related to the electric field. Previously we described Coloumb's law, however it only describes the relation between charges that are stationary (aren't moving). When they are moving, we must also consider the force caused by the magnetic field - $F_m$.


Similarly to electric field, the magnetic field at each point can be drawn as a vector and traced as lines that start from North poles and end in South poles.

Lorentz Force Law

Lorentz force is the combination of electric and magnetic force exerted on a point charge due to electric and magnetic fields, denoted as E and B.

$F= F_e + F_m = q \vec{E} + q \vec{v} \times \vec{B}$


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