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
Let’s first see the formula of self-inductance i.e.
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where N is the no. of turns, A is the area of loop, l is the length,
μ0 is the magnetic permeability of free space and μ is the permeability of the medium.
In this formula μ & N are fixed so we can say that L is directly proportional to A means as A Increases L also increases and L is inversely proportional to l means as l increases L decreases or vice versa.
So from above conclusion we can directly say that options (a), (c), (d) are wrong.
Therefore, option (b) is correct answer.
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