Chapter 29
Sources of Magnetic Fields
움직이는 전하로 인한 자기장
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 ...
비오-사바트 법칙
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 Law: 문제 해결
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 ...
얇은 직선 와이어로 인한 자기장
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 ...
두 개의 직선 와이어로 인한 자기장
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 ...
두 개의 병렬 전류 사이의 자기력
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 ...
전류 루프의 자기장
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 ...
자기장의 발산(Divergence and Curl)
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 ...
암페어의 법칙
A fundamental property of a static magnetic field is that it is not conservative, unlike an electrostatic field. Instead, there is a relationship between ...
암페어의 법칙: 문제 해결
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 ...
솔레노이드
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 ...
솔레노이드의 자기장
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 ...
토로이드
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 ...
자기 벡터 전위
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic ...
자화된 물체로 인한 전위
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs ...
자기정역학 경계 조건
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular ...
암페어의 법칙 in Matter
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 ...
자화율(Magnetic Susceptibility)과 투과성(Permeability)
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of ...
전자의 자기 모멘트(Magnetic Moment of an Electron)
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the ...
반자성
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the ...
상자성
Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly ...
강자성
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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