The magnetic field (marked B, indicated by red field lines) around wire carrying an electric current (marked I) In classical electromagnetism, Ampère's circuital law , often simply called Ampère's law , and sometimes Oersted's law , [1] relates the circulation of a magnetic field around a closed loop to the electric current passing through that loop. The law was inspired by Hans Christian Ørsted 's 1820 discovery that an electric current generates a magnetic field. This finding prompted ... Explore Ampere ’s circuital law , its significance in electromagnetism, integral & differential forms, and an example calculation. Ampere ’s Circuital Law : A Comprehensive Overview Ampere ’s circuital law , named after the French mathematician and physicist André-Marie Ampère, is a fundamental principle in electromagnetism that relates the circulating magnetic field around a closed loop to the electric current passing through that loop. This powerful equation plays a crucial role in ... Ampere ’s law is the generalisation of Biot-Savart’s law and is used to determine magnetic field at any point due to a distribution of current. Consider a long straight current carrying conductor XY, placed in the vacuum. A steady current ‘I’ flows through it from the end Y to X as shown in the figure Imagine a closed curve (amperian loop) around the conductor having radius 'r'. The loop is assumed to be made of a large number of small elements each of length → 𝑑 𝑙. Its ... Using Ampère’s Law to Calculate the Magnetic Field Due to a Wire Use Ampère’s law to calculate the magnetic field due to a steady current I in an infinitely long, thin, straight wire as shown in Figure 12 6 2. Figure 12 6 2: The possible components of the magnetic field B due to a current I, which is directed out of the page. The radial component is zero because the angle between the magnetic field and the path is at a right angle.
