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 dB = (Mu_0*I *dL*l_r)/(4*pi*r^2) , with Mu_0 being the permittivity of free space, I being the current, and dL being the displacement vector (the distance between the current and some location in the field).