Permeability
Also called Vacuum permeability, mu naught, Magnetic constant
The constant describing how much magnetisation a material takes on in an external magnetic field. The vacuum value, mu naught, is 4 pi times 10 to the minus 7 tesla metres per ampere.
Printed in the Constants group of both the AP Physics 2 and the AP Physics C: Electricity and Magnetism sheets, and the magnetic counterpart of permittivity. As a decimal it is about .
Leave it in the form when you substitute. On the AP Physics 2 sheet it appears inside exactly one equation, , and there the cancels against the denominator, turning the whole constant into a factor of . Converting to a decimal first buys an extra rounding step for nothing. The same cancellation runs through the Biot-Savart law, which arrives as already.
Every equation that builds a magnetic field from a current carries it: for a straight wire, in Ampere's law, inside a solenoid.
For matter it is not a table lookup. The AP Physics 2 CED is unusually blunt here: the permeability of matter differs from that of free space, and it is not a constant for a material, varying with factors including temperature, orientation, and the strength of the external field. Density you can look up; this you cannot.
Do not confuse the symbol with the coefficient of friction, which also uses , or the two constants with each other. Permittivity is electric and sits under ; permeability is magnetic and sits on top of it.