# AC Generator                Physics Software

 Left mouse drag: Rotate Scroll Wheel-Up: Zoom in Scroll Wheel-Down: Zoom out Show magnetic field: Stop the generator: Voltmeter reading (mV): 0 Rotation per minute (rpm): – magnetic flux, – Electromotive Force Your browser does not support canvas tag.
Copyright (C) 2021 Nasanbat Namsrai

Magnetic flux through the loop is directly proportional to the area of the loop and magnetic field between two magnets: $$\Phi = \vec B \cdot \vec{S} = BS \cos \alpha$$ Here $\alpha$ is angle between magnetic field and normal vector of the loop. $$\alpha = \omega t$$ Here $\omega$ is angular speed, $t$ is time. According to Faraday's law of electromagnetic induction, electro motive force (EMF) is: $$\mathscr{E} = -\frac{d\Phi}{dt} = -\frac{d(BS \cos \alpha)}{dt} = -\frac{d(BS \cos \omega t)}{dt} = \omega B S \sin \omega t$$ Let $\mathscr{E_\circ}$ denote amplitude of EMF, i.e. $\mathscr{E_\circ} = \omega B S$ Then the last formula for EMF is: $$\mathscr{E} = \mathscr{E_\circ} \sin \omega t$$