Boost Inductor Voltage calculations
If your core Bfield is swinging linearly between + and - \$B\$ Tesla peak, at a frequency of \$f\$ Hz, in a core of area \$A_e\$ square metres, then the peak square wave voltage per turn is \$4 f A_e B\$ in volts. I'm not going to try to guess in what unit system your \$10^8\$ factor might be appropriate. As you see, keep it all in SI and it tends to be a bit easier.

Obviously you can invert that to get a Bfield slew rate, when a certain volts/turn is applied to the inductor. This is the way round to use the relation when you are figuring out how much the field slews when you connect Vin or Vboost to your inductor for a certain time.