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Chapter 29

Sources of Magnetic Fields

Champ magnétique dû à des charges mobiles
Champ magnétique dû à des charges mobiles
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field. Consider a point charge moving with a ...
Loi Biot-Savart
Loi Biot-Savart
The Biot-Savart law gives the magnitude and direction of the magnetic field produced by a current. This empirical law was named in honor of two ...
Loi Biot-Savart : résolution de problèmes
Loi Biot-Savart : résolution de problèmes
The magnitude and direction of a magnetic field created by a steady current can be calculated using the Biot-Savart law. Consider a mobile phone battery ...
Champ magnétique dû à un fil droit mince
Champ magnétique dû à un fil droit mince
Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the ...
Champ magnétique dû à deux fils droits
Champ magnétique dû à deux fils droits
Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the ...
Force magnétique entre deux courants parallèles
Force magnétique entre deux courants parallèles
Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the ...
Champ magnétique d’une boucle de courant
Champ magnétique d’une boucle de courant
Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the ...
Divergence et courbure du champ magnétique
Divergence et courbure du champ magnétique
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows: To evaluate the divergence of the ...
Loi d’Ampère
Loi d’Ampère
A fundamental property of a static magnetic field is that it is not conservative, unlike an electrostatic field. Instead, there is a relationship between ...
Loi d’Ampère : résolution de problèmes
Loi d’Ampère : résolution de problèmes
Ampere's law states that for any closed looped path, the line integral of the magnetic field along the path equals the vacuum permeability times the ...
Solénoïdes
Solénoïdes
A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field for a solenoid is the ...
Champ magnétique d’un solénoïde
Champ magnétique d’un solénoïde
A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field due to a solenoid is ...
Tores
Tores
A toroid is a closely wound donut-shaped coil constructed using a single  conducting wire. In general, it is assumed that a toriod consists of ...
Potentiel vectoriel magnétique
Potentiel vectoriel magnétique
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic ...
Potentiel dû à un objet magnétisé
Potentiel dû à un objet magnétisé
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs ...
Conditions aux limites magnétostatiques
Conditions aux limites magnétostatiques
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular ...
La loi d’Ampère dans la matière
La loi d’Ampère dans la matière
The total current density in magnetized material is the sum of the free and bound current densities. The free current arises due to the motion of free ...
Susceptibilité magnétique et perméabilité
Susceptibilité magnétique et perméabilité
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of ...
Moment magnétique d’un électron
Moment magnétique d’un électron
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the ...
Diamagnétisme
Diamagnétisme
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the ...
Paramagnétisme
Paramagnétisme
Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly ...
Ferromagnétisme
Ferromagnétisme
Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic ...
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