Consider the self-inductance per unit length of solenoids at its centre and that near its ends. Which of the two is greater?
Self-inductance is given by
Self-inductance per unit length is given by
Where is the permeability of the free space
n is the number of turns per unit length
A is Area of a cross section of the solenoid
L is the self-inductance
l is the length the wire
Therefore, self-inductance at the centre and that near its ends will be the same since the self -induction is independent of the distance of the point from the centre of the solenoid.