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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
- Torque on a Current Loop
Motors are the most common application of magnetic force on...
- 21.1: Magnetism and Magnetic Fields
A more fundamental law than the Biot-Savart law is Ampere’s...
- Torque on a Current Loop
Figure \(\PageIndex{2}\): An Amperian loop that is a circle of radius, \(h\), will allow us to determine the magnetic field at a distance, \(h\), from an infinitely-long current-carrying wire. The circulation of the magnetic field along a circular path of radius, \(h\), is given by:
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.
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.
Ampere's Law. The magnetic field in space around an electric current is proportional to the electric current which serves as its source, just as the electric field in space is proportional to the charge which serves as its source. Ampere's Law states that for any closed loop path, the sum of the length elements times the magnetic field in the ...
In classical electromagnetism, Ampère's circuital law (not to be confused with Ampère's force law) [1] relates the circulation of a magnetic field around a closed loop to the electric current passing through the loop. James Clerk Maxwell derived it using hydrodynamics in his 1861 published paper "On Physical Lines of Force". [2] .
Magnetic Fields Produced by Currents: Ampere’s Law | Physics. 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.
