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A very long straight solenoid has a cro...

A very long straight solenoid has a cross section radis `R` and `n` turns per unit lenghth. A direct current `I `flows throguh the solenoid. Suppose that `x` is the distance from the end of the the solenoid, measured along its axis. Find:
(a) the magnetic induction `B` on the axis as a funciton of `x`, draw an approximate plot of `B` vs ratio `x//R`,
(b) the distance `x_(0)` to the point on the axis at which the value of `B` differs by `eta = 1%` from that in the middle section of the solnoid.

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