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We can estimate which side of the coil is north using a third right-hand rule.

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This second right-hand rule is commonly applied to freely flowing charges, known as cathode rays, or to push on electric currents in general.

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When it is beneath the magnet, it deflects in the other direction. The magnet's pointing direction is parallel to the magnetic field around the wire. And you can do so with your right hand.

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When considering the Right-Hand Rules, keep in mind that the rules assume charges move in a conventional current. To apply any Right-Hand Rule to a moving negative charge, reverse the velocity (v) of that charge to represent the comparable conventional current.

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The magnetic force is a result of the electromagnetic force, one of nature's four fundamental forces, and is caused by charge motion.

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A magnetic field, a vector field in the region of a magnet, an electric current, or a changing electric field in which magnetic forces can be observed

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Any material capable of attracting iron and producing a magnetic field outside itself is referred to as a magnet.