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  1. the physical law that states that the magnetic field around an electric current is proportional to the current; each segment of current produces a magnetic field like that of a long straight wire, and the total field of any shape current is the vector sum of the fields due to each segment

  2. Ampere’s Law is similar to Gauss’ Law, as it allows us to (analytically) determine the magnetic field that is produced by an electric current in configurations that have a high degree of symmetry. Ampere’s Law states: ∮→B ⋅ d→l = μ0Ienc.

  3. This results in a more complete law, called Ampere’s law, which relates magnetic field and current in a general way. Ampere’s law in turn is a part of Maxwell’s equations , which give a complete theory of all electromagnetic phenomena.

  4. As you know from a previous section, magnetic field of a long straight wire circulates around the wire in circles with the same magnitude B= μ0I /2πr B = μ 0 I / 2 π r at all points of one circle of radius r. r. Let us denote this magnetic field by B(r). B ( r). The circulation of this magnetic field around a circle is easy to work out.

  5. So, another way of stating the integral form of Ampere’s Law is to say that the circulation of the magnetic field on any closed path is directly proportional to the current through the region enclosed by the path. Here’s the picture: In the picture, I show everything except for the magnetic field.

  6. Magnetic Fields Produced by Currents: Ampere’s Law. Learning Objectives. By the end of this section, you will be able to: Calculate current that produces a magnetic field. Use the right hand rule 2 to determine the direction of current or the direction of magnetic field loops.

  7. In words, Ampère's integral law as given by (1) requires that the line integral (circulation) of the magnetic field intensity H around a closed contour is equal to the net current passing through the surface spanning the contour plus the time rate of change of the net displacement flux density o E through the surface (the displacement current ).