The biot-savart law
“How can we symbolically describe the magnetic field generated by an electric current?”
As stated before, an electric current will generate a magnetic field. However, how can we put this into symbolic form for quantitative purposes? Well, thanks to the hard labor of prior scientists, we have a mathematical relationship known as the Biot-Savart law. The biot savart law defines the relationship between a magnetic field and an electric current as B(r)=o4CIdlr’r’3, with 0being the permittivity of free space, Ibeing the current, and r’being the displacement vector (the distance between the current and some location in the field).