The self-inductance of a solenoid is:

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(C) The self-inductance $L$ of a long solenoid is given by the formula: $L = \frac{\mu_0 N^2 A}{l}$,where $\mu_0$ is the permeability of free space,$N

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Directly proportional to the area of cross-section

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(C) The self-inductance $L$ of a long solenoid is given by the formula: $L = \frac{\mu_0 N^2 A}{l}$,where $\mu_0$ is the permeability of free space,$N$ is the total number of turns,$A$ is the cross-sectional area,and $l$ is the length of the solenoid.From this expression,it is clear that $L \propto A$. Therefore,the self-inductance is directly proportional to the area of the cross-section of the solenoid.

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