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Homework Statement
Consider a solenoid of length L and radius R, containing
N closely spaced turns and carrying a steady current
I. (a) In terms of these parameters, find the magnetic
field at a point along the axis as a function of distance
a from the end of the solenoid. (b) Show that as L
becomes very long, B approaches μoNI/2L at each end of
the solenoid.
Homework Equations
B=μoIR^2/2(x^2+R^2)^3/2
The Attempt at a Solution
let solenoid from y=0 to y=L and we can take solenoid as a formed of rings.
Consider a current loop of thickness dy, so current in that tiny ring= I(N/L)dy
But what is x? how to find it? I have no clue about it.If I have x then I can integrate 0 to L to find the total field..any idea?