# Playing in an Ampere-ian World!

There is a circular current carrying loop of radius $$R$$ , it has a current $$i$$ passing through it, and its North (anti-clockwise face) is facing upward

Suppose, i place a thin disc magnet of mass $$m$$ with negligible dimensions over it that has a Magnetic moment of $$M$$, such that the north pole is facing downwards at height $$d$$ above the loop.

Derive an expression for the force of interaction In Newtons between them, and submit the value for the given details.

Details and assumptions

• $$m=$$ 1 g
• $$M=20$$ Am$$^2$$
• $$R =$$ 10 cm
• $$d= 20$$ cm
• $$i=1$$ A
• Take the magnetic permeability for vacuum to be $$4\pi\times10^{-7}$$

Note, to derive the expression, you may use the model of magnetic charges, also neglect negligible terms, I assure you that all information you need has been given.

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