Electromagnetic Simulator

Magnetic and Electrosatatic simulator in UE4 and C++

Lorentz force

In physics (particularly in electromagnetism) the Lorentz force (or electromagnetic force) is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge q moving with a velocity v in an electric field E and a magnetic field B experiences a force.

    \[\vec{F}=q\vec{E} +q\vec{v}\times \vec{B} \]

\vec{E}: Electric field

\vec{v} : velocity

\vec{B} : magnetic field

Lorentz force could be applied to different objects, in the simulation I have used 4 objects: Particle, Wire, Uniform magnetic field and Magnet

  • Particle

It is our movable object, it is affected by the electromagnetic field. It has four variables.

The Mass: it is measured in AMU, which is equivalent to 1.66\times 10^{-27} kg.

The Charge: it is measured in elementary charge; 1.60\times 10^{19} C

  • Wire

The wire conducts electricity through it and causes a magnetic field.

    \[B=\frac{\mu _{0}I}{2 \pi r} \]

B : magnetic field

\mu _{0} : permeability of free space

I : Intensity through the wire

r : distance to the wire

  • Uniform magnetic field

The uniform magnetic field has the same magnetic field in all position, it ease off the calculations, the particles affected by the field describe circles and helicoids.

  • Magnet

The magnetic field caused by the magnet is non-uniform, to calculate it you need this formula:

    \[ B= \mu _{0}nI \]

13 thoughts on “Electromagnetic Simulator”

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