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Chapter 29

Sources of Magnetic Fields

Магнитное поле из-за движущихся зарядов
Магнитное поле из-за движущихся зарядов
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 ...
Закон Био-Савара
Закон Био-Савара
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 ...
Закон Био-Савара: решение проблем
Закон Био-Савара: решение проблем
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 ...
Магнитное поле благодаря тонкому прямому проводу
Магнитное поле благодаря тонкому прямому проводу
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 ...
Магнитное поле благодаря двум прямым проводам
Магнитное поле благодаря двум прямым проводам
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 ...
Магнитная сила между двумя параллельными токами
Магнитная сила между двумя параллельными токами
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 ...
Магнитное поле токовой петли
Магнитное поле токовой петли
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 ...
Дивергенция и закручивание магнитного поля
Дивергенция и закручивание магнитного поля
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 ...
Закон Ампера
Закон Ампера
A fundamental property of a static magnetic field is that it is not conservative, unlike an electrostatic field. Instead, there is a relationship between ...
Закон Ампера: решение проблем
Закон Ампера: решение проблем
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 ...
Соленоиды
Соленоиды
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 ...
Магнитное поле соленоида
Магнитное поле соленоида
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 ...
Тороиды
Тороиды
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 ...
Магнитный векторный потенциал
Магнитный векторный потенциал
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic ...
Потенциал из-за намагниченного объекта
Потенциал из-за намагниченного объекта
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs ...
Магнитостатические граничные условия
Магнитостатические граничные условия
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular ...
Закон Ампера в материи
Закон Ампера в материи
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 ...
Магнитная восприимчивость и проницаемость
Магнитная восприимчивость и проницаемость
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of ...
Магнитный момент электрона
Магнитный момент электрона
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the ...
Диамагнетизм
Диамагнетизм
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the ...
Парамагнетизм
Парамагнетизм
Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly ...
Ферромагнетизм
Ферромагнетизм
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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