While doodling about a bike taillight, I figured out the numbers for a 1 mH toroid on a ferrite FT50A-77 core. Even though I’m not going to use it, I may as well write it down so I remember what to do the next time around…
FT50A-77 Toroid data:
- 0.5 OD x 0.312 ID x 0.25 long, inch
- Mean path length: MPL = 3.68 cm
- Cross section: XC = 0.52 cm2
- Volume: V = 0.558 cm3
- AL = 1080 mH/1000 turn
- μ = 2000 (in gauss/oerstead, most likely)
- Saturation = 4500 gauss
- Tempco = 0.6%/°C
- Winding length = 0.688 inch/turn
Those mixed units barely make sense and then only in the USA; using cm for the magnetic dimensions gives CGS results. In some parallel universe, this would not be an issue.
The inductor:
- For 1 mH, turns = 1000 √(1 mH / (1080 mH/1000 turns)) = 30.4 turn
- Wire length = 31 turn × 0.668 inch/turn + 3 inch = 24 inch
Core saturation check for 100 mA:
- 100 mA x 30 turn = 3 ampere·turn
- Magnetomotive force = mmf = 0.4 π × 3 A·t = 3.8 gilbert
- Magnetizing force = H = mmf/MPL = 3.8 Gi / 3.68 cm = 1.0 oerstead
- Flux density = B = μ H = 2000 G/Oe × 1.0 Oe = 2000 G < 4500 G, so OK
I think the saturation check works, but the units always make my head hurt…