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Kapitel 29

Sources of Magnetic Fields

Magnetfeld durch bewegte Ladungen
Magnetfeld durch bewegte Ladungen
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 ...
Biot-Savart-Gesetz
Biot-Savart-Gesetz
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 ...
Biot-Savart-Gesetz: Problemlösung
Biot-Savart-Gesetz: Problemlösung
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 ...
Magnetfeld aufgrund eines dünnen geraden Drahtes
Magnetfeld aufgrund eines dünnen geraden Drahtes
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 ...
Magnetfeld durch zwei gerade Drähte
Magnetfeld durch zwei gerade Drähte
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 ...
Magnetische Kraft zwischen zwei parallelen Strömen
Magnetische Kraft zwischen zwei parallelen Strömen
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 ...
Magnetfeld einer Stromschleife
Magnetfeld einer Stromschleife
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 ...
Divergenz und Krümmung des Magnetfeldes
Divergenz und Krümmung des Magnetfeldes
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 ...
Das Amperesche Gesetz
Das Amperesche Gesetz
A fundamental property of a static magnetic field is that it is not conservative, unlike an electrostatic field. Instead, there is a relationship between ...
Amperes Gesetz: Problemlösung
Amperes Gesetz: Problemlösung
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 ...
Magnetspulen
Magnetspulen
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 ...
Magnetfeld eines Magneten
Magnetfeld eines Magneten
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 ...
Ringkerne
Ringkerne
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 ...
Magnetisches Vektorpotential
Magnetisches Vektorpotential
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic ...
Potential durch ein magnetisiertes Objekt
Potential durch ein magnetisiertes Objekt
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs ...
Magnetostatische Randbedingungen
Magnetostatische Randbedingungen
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular ...
Das Amperesche Gesetz in der Materie
Das Amperesche Gesetz in der Materie
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 ...
Magnetische Suszeptibilität und Permeabilität
Magnetische Suszeptibilität und Permeabilität
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of ...
Magnetisches Moment eines Elektrons
Magnetisches Moment eines Elektrons
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the ...
Diamagnetismus
Diamagnetismus
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the ...
Paramagnetismus
Paramagnetismus
Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly ...
Ferromagnetismus
Ferromagnetismus
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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