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A very long straight solenoid has a cross-section radius R and n turns per unit length. A direct current I flows through the solenoid. Suppose that x is the distance from the end of the solenoid, measured along its axis. Find: (a) the magnetic induction B on the axis as a function of x; draw an approximate plot of B vs the ratio x/R; (b) the distance x0 to the point on the axis at which the value of B differs by η = 1% from that in the middle section of the solenoid. |
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