Magnetic Flux Density at different points about a solenoid

[ajhooger]

Homework Statement

For my physics investigation I am required to first find the theoretical magnetic flux denisty at different points about a solenoid. The points are outside the solenoid: along the axis but past the ends and; perpendicular to the centre of the solenoid but outside.

So far I have looked at many links to Biot-Savart law, but they only seem to show equations for a loop and not a solenoid.

Homework Equations

I have tried for the point along the axis:
http://www.utc.edu/Faculty/Tatiana-Allen/Magfig4.gif
but it only works with in the confines of the solenoid.

I also tried:
http://www.utc.edu/Faculty/Tatiana-Allen/Magfig2.gif
but it doesn't work for the solenoid.

What I basically need is two equations, one for the axis, and, one for the points perpendicular to the centre.

 

[Jake110]

i was looking for this same equation a few months ago, bloody hard thing to find but i found it!

for a thin shell solenoid use the equation found here: http://www.netdenizen.com/emagnettest/solenoids/?thinsolenoid

for a solenoid with a shell use the equation found here: http://www.netdenizen.com/emagnettest/solenoids/?solenoid