This application simulates the operation of a direct current (DC) electric motor. The coil is made up of several rectangular turns with dimensions $L_1 \times L_2$, where $L_1$ can be varied between 1 and 3 cm, and $L_2$ is fixed at 2.5 cm.

If you're on a touchscreen device, use the usual touchscreen gestures:

• One finger: moves the viewing angle.
• Two fingers, pinch gesture: zooms.
• Two fingers, swiping in the same direction: shifts the camera position.

Buttons:

• : Restarts the simulation.
• : Accesses the parameters and initial conditions of the system: initial position of the motor, electric current, magnetic field, etc.

This is a simulation of the movement of an electric motor whose coil has $N$ rectangular turns.

The angular acceleration $\alpha$ of the loop is calculated using Newton's second law for rotations:

where $I_M$ is the moment of inertia of the set of turns. The equations of motion are integrated using the fourth order Runge-Kutta method with time step $h$.

The force that causes the torque capable of moving the set of turns is the magnetic force $F_B$, defined as

where $i$ is the electric current circulating in the turns and $L_1$ is the length of the part of the wire that is orthogonal to the direction of the magnetic field $B$ generated by the magnets.

The dynamics of the electric motor of this application takes into account the effect of induced current by Faraday's law, but not the self-induction effect of electric current due to variation of the current in the coil. The magnetic field of magnets is considered uniform.

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