The self-inductance L of a solenoid of length l and area of cross-section A, with a fixed number of turns N increases as
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B
The self-inductance of a long solenoid of cross-sectional area A and length l, having n turns per unit length, filled with a material of relative permeability (e.g. soft iron, which has a high value of relative permeability) inside the solenoid is given by

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