Discussion
The self-inductance of a coil does not depend on
Answer: D
Self-inductance does not depend on the current through it.
For a long solenoid, \(L = \frac{\mu N^{2}A}{l}\): it depends on the number of turns, the area of cross-section (and so the radius), the length and the permeability of the core. These are all properties of the coil's geometry and material.
The current sets the flux \(\phi = LI\) and the stored energy \(\frac{1}{2}LI^{2}\), but \(L\) itself is the ratio \(\frac{\phi}{I}\), which stays the same as the current changes (for a core without saturation).
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