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A tightly wound solenoid of radius 'a' a...

A tightly wound solenoid of radius 'a' and length 'l' has n turns per unit length. It carries an electric current i. Magnetic field at a distance `(l)/(4)` from one of the end (inside the solenoid on its axis) is `B=(mu_(0)ni(sqrt5+3))/(sqrtK)` for `l=4a`. Then find the value of K.

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