: a statement in electromagnetism: the magnetic intensity at any point due to a steady current in an infinitely long straight wire is directly proportional to the current and inversely proportional to the distance from point to wire — compare ampere’s law .
The Biot Savart Law states that it is a mathematical expression which illustrates the magnetic field produced by a stable electric current in the particular electromagnetism of physics. It tells the magnetic field toward the magnitude, length, direction, as well as closeness of the electric current.
The Biot Savart Law is used to determine the magnetic field intensity H near a current-carrying conductor or we can say, it gives the relation between magnetic field intensity generated by its source current element. The law was stated in the year 1820 by Jean Baptisle Biot and Felix Savart .
Ampere’s circuital law can be written as the line integral of the magnetic field surrounding closed-loop equals to the number of times the algebraic sum of currents passing through the loop.
Faraday’s law of induction (briefly, Faraday’s law ) is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF)—a phenomenon known as electromagnetic induction.
In the context of introductory Electromagnetic theory, you can use Ampere’s law when the symmetry of the problem permits i.e. when the magnetic field around an ‘Amperian loop’ is constant. Biot – Savart law is the more brute force approach, you evaluate this integral when there is not enough symmetry to use Ampere’s law .
The permeability of free space, μ, is a physical constant used often in electromagnetism. It is defined to have the exact value of 4π x 10–7 N/A2 (newtons per ampere squared). It is connected to the energy stored in a magnetic field, see Hyperphysics for specific equations.