Difference between Biot-Savart and Ampere’s law
Difference between Biot-Savart law and Ampere’s law are in tabular form below –
Amperes law and Biot-savart law both gives us the magnetic field distribution. In simples words both the laws are very useful in finding magnetic field produced at the point by various distribution of current. Amperes law and Biot savart law both can be derived from each other so we can call them equivalent in scientific content. Amperes law is the line integral of magnetic field around any close path equals to permeability of free space times the current which threads the surface bounded by such closed path. The simplest application of amperes law is consist of applying law to the case of infinitely long straight and thin wire. Biot savert law gives expression for the magnetic field due to current segment. The difference between them is as follows.
Biot-Savart law |
Ampere’s law |
1) Biot-Savart law is the basic equation of magnetic field due to the current distribution.
2) When electric field is provided by the gradient of potential and electric flux changes in time then the Biot-Savart law is valid. 3) Biot-Savart law is follows the concept of magnetism. 4) Asymmetric current distribution is valid for Biot-Savart law. 5) Biot-Savart law is the differential form of magnetic field induction B. 6) It is quite difficult to find the magnetic field by the integrals of Biot-Savart law. 7) The integral form of Biot-Savart law is : ∮B∙dl = μ0 I |
1) Ampere’s law gives the another method to calculate magnetic field of given current distribution.
2) When the electric field through the loop is constant in time then Ampere’s law is valid. 3) Ampere’s law follows the concept of of electromagnetism. 4) Symmetric current distribution is valid for Ampere’s law. 5) Ampere’s law is the integral form of magnetic field induction B 6) Finding magnetic field by Ampere’s law is much simpler than the Biot-Savart law 7) The differential form of Biot-Savart law is : B = μ0 NI/2R |