How Do You Calculate the Mutual Force Between Two Coaxial Coils?

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To calculate the mutual force between two coaxial coils, one must consider the magnetic fields generated by each coil and their interaction. The force can be determined using the mutual inductance formula and the currents flowing through the coils. The direction of the force will depend on the relative orientations of the currents; in this case, they flow in the same direction, indicating an attractive force. Additionally, the distance X at which this force is maximized can be derived from the relationship between the coils' parameters and their mutual inductance. Understanding these principles is essential for solving the problem effectively.
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Homework Statement



In a compact cicrcualr coil "A" (radius R= 25cm),formed by N=150 loops of wire, flows I=10A current.
There's another compact circular coil "B" over "A"(radius r= 1.5 cm, loops n= 30) coaxial with "A" distant X ,in which i= 4A flows .
in the same direction of "I" (look at the image).

Calculate the mutual force between the two coils, and is it repulsive or attractive ?
Calculate X value when the force is Maximum.

http://img179.imageshack.us/img179/7660/bobinacn6.jpg

HELP ME I DON'T KNOW HOW TO SOLVE IT...sorry for the translation English isn't my mother tongue. I already posted it in the advanced phys section but maybe this is the right section...


Homework Equations



..all about mutual induction, auto induction, coils, magnetic energy

The Attempt at a Solution

 
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