A thin solenoid is made of a large number of turns of very thin wire tightly wound in several layers. The radii of innermost and outermost layers are a and b respectively and the length of the solenoid is `L (L gt gt a, )`. The total number of turns is N. Calculate the self inductance of the solenoid. Neglect edge effects.

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Correct Answer - `(mu_(0)piN^(2)(3a^(2)+2ab+b^(2)))/(6L)`

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