>>12473584Magnetic flux is the direction and "amount" of magnetic field lines. Field lines are just vectors pointing from a conducting source. We use the integral to make a 3D shape out of it, so think of flux as a "volume" of something.
The math is: you're taking a bunch of these lines and using the integral to find the volume of the "approximate shape"
In power systems, you can treat flux through a core as a circuit. Flux is analogous to current, and magnetic reluctance as resistance in parallel, and magnetomotive force as electromotive force
In electrical machines, we measure flux as a ratio between torque and current, and/or rotor speed.