Originally posted by David Schwab
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1. Add slugs to the bottom coil. This increases the inductance and the sensitivity to magnetic fields by the same amount.
2. Now take turns off. This decreases both the inductance and the sensitivity to magnetic fields. However, it decreases the inductance by more because the inductance depends approximately on the square of the number of turns while the sensitivity to fields dpends linearly on the number of turns.
The goal is to make a bottom coil that is just as sensitive to magnetic fields as the top coil while not increasing the inductance of the two coils in series any more than necessary over the inductance of the top coil alone.
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