Is there a correlation between the voltage produced by a generator and the voltage produced by a boost converter?

Ok so as I understand it: In a simple conceptual generator, a coil moves through a magnetic field producing a current in the coil. this results in a voltage on the line. The voltage on the line will in some part be based on the strength of the magnetic field. (it will also be based on the rate the coil moves through the field, the qualities of the coil, and probably other things but those must be the big ones). Or maybe the coil is static and the magnet moves past the coil, but the difference here will be in the machine but not in the voltage assuming everything else is equal, the speed and qualities.

Is there a correlation between this function and the voltage that is produced by a boost converter? a boost converter ends up with an inductor that has a magnetic field on it, and when the transistor connecting the inductor to ground is off, the inductor resists change in current and forces electrons toward vout and onto the filter capacitor charging it. Can you calculate the resulting charge on the capacitor based on the magnetic field strength in the same way that you would do so for the generator?