# Maximum Flux Density Calculator

The maximum flux density for a core/coil geometry should be calculated to verify that it is below the specified value for a given core, so that the core doesn't saturate. This calculator is useful in matching a core size to the required power.

Note that if there is no DC term, then the calculation is completely independent of the core material.

### Equations

B_{max}=B_{max(AC)}+B_{max(DC)}

B_{max(DC)}_{}= (L*I_{dc}*10^{8})/(NA_{c})

B_{max}= (V_{rms}*10^{8})/(4.44*F*N*A_{c}) + (L*I_{dc}*10^{8})/(N*A_{c}) gauss

Note if no DC current flows, then the second term of the equation is dropped.

#### In terms of A_{L(uH/100T}^{2}_{)}:

L= N^{2}A_{L(uH/100T}^{2}_{)}10^{-4}

B_{max(DC)}= (N*A_{L}_{(uH/100T}^{2}_{)}10^{4}*I_{dc})/(A_{c})