Ampere's Law:
- According to Ampere's law, the magnetic field line integral around a closed path is equal to the product of the magnetic permeability of that space and the total current through the area bounded by that path.
- The equation of Ampere's Law can be written as.
- Ampere's law provides an additional method for calculating the magnetic field caused by a given current distribution.
Explanation of ampere's law:
We'll find the magnetic field at a point due to a long straight current carrying conductor.
![](https://uce237795b74462878b3a97cb8a7.previews.dropboxusercontent.com/p/thumb/ABmV-fvaLntNNEMnhQ8mwdm6JeNPgazLVHtcakOYXmIG8M7gxAWGGGuQpKJF7FsKpfunWt-F-MmCwx4Wcnl00csipYpH17JmJmqEwa3mlz1tpkM98bj5tX4dEh3mlgMdIkIVQpKwlpfh_vz__5cIAdqI7xxW6Dn4BX0degh2CbMtwy3D2EihWETCdw44TS8XsYjp2pPPALruIiL9qhY4O_4tFuTlzJpZghNzrSIzH6mHBDC6cSTerHJ3NWkMrB7TrbnKekESB5LgMyolZyK4EJ_8gSPYkCoAGaIDSF1OQkZhzNnzMWxgqShNHodnlieJbyMXpXvQKJnqMyavyV3nCRqG8E6MQrlq34m0orNS7EmMIYs6EmxoTV096oY_s_ukk9Y/p.jpeg)
For this, we imagine an Ampereian loop which is circular with the center at the wire and passing through the point P.
Since the path is a circle, the magnetic field intensity B is uniform throughout because every point is equidistant.