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Chapter 29

Sources of Magnetic Fields

Pole magnetyczne spowodowane ruchomymi ładunkami
Pole magnetyczne spowodowane ruchomymi ładunkami
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 ...
Prawo Biot-Savart
Prawo 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 ...
Prawo Biota-Savarta: rozwiązywanie problemów
Prawo Biota-Savarta: rozwiązywanie problemów
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 ...
Pole magnetyczne spowodowane cienkim prostym drutem
Pole magnetyczne spowodowane cienkim prostym drutem
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 ...
Pole magnetyczne dzięki dwóm prostym przewodom
Pole magnetyczne dzięki dwóm prostym przewodom
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 ...
Siła magnetyczna między dwoma równoległymi prądami
Siła magnetyczna między dwoma równoległymi prądami
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 ...
Pole Magnetyczne Pętli Prądowej
Pole Magnetyczne Pętli Prądowej
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 ...
Rozbieżność i zawijanie pola magnetycznego
Rozbieżność i zawijanie pola magnetycznego
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 ...
Prawo Ampere'a
Prawo Ampere'a
A fundamental property of a static magnetic field is that it is not conservative, unlike an electrostatic field. Instead, there is a relationship between ...
Prawo Ampere'a: rozwiązywanie problemów
Prawo Ampere'a: rozwiązywanie problemów
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 ...
Elektromagnesy
Elektromagnesy
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 ...
Pole magnetyczne solenoidu
Pole magnetyczne solenoidu
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 ...
Toroidy
Toroidy
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 ...
Potencjał wektora magnetycznego
Potencjał wektora magnetycznego
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic ...
Potencjał spowodowany namagnesowanym obiektem
Potencjał spowodowany namagnesowanym obiektem
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs ...
Magnetostatyczne warunki brzegowe
Magnetostatyczne warunki brzegowe
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular ...
Prawo Ampere'a w materii
Prawo Ampere'a w materii
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 ...
Podatność magnetyczna i przepuszczalność
Podatność magnetyczna i przepuszczalność
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of ...
Moment magnetyczny elektronu
Moment magnetyczny elektronu
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the ...
Diamagnetyzm
Diamagnetyzm
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the ...
Paramagnetyzm
Paramagnetyzm
Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly ...
Ferromagnetyzm
Ferromagnetyzm
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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