The integral form of Amperes’ Circuital Law (ACL) for magnetostatics relates the magnetic field along a closed path to the total current flowing through any surface bounded by that path.
Magnetostatics is the theory of the magnetic field in conditions in which its behavior is independent of electric fields, including Inductance, which is the ability of a structure to store energy in a...Magnetostatics is the theory of the magnetic field in conditions in which its behavior is independent of electric fields, including Inductance, which is the ability of a structure to store energy in a magnetic field The word ending “-statics” refers to the fact that these aspects of electromagnetic theory can be developed by assuming that the sources of the magnetic field are time-invariant; we might say that magnetostatics is the study of the magnetic field at DC.
In this section, we derive the differential form of Amperes’ Circuital Law. In some applications, this differential equation, combined with boundary conditions associated with discontinuities in struc...In this section, we derive the differential form of Amperes’ Circuital Law. In some applications, this differential equation, combined with boundary conditions associated with discontinuities in structure and materials, can be used to solve for the magnetic field in arbitrarily complicated scenarios. A more direct reason for seeking out this differential equation is that we gain a little more insight into the relationship between current and the magnetic field.
