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Chapter 29

Sources of Magnetic Fields

المجال المغناطيسي بسبب الشحنات المتحركة
المجال المغناطيسي بسبب الشحنات المتحركة
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 ...
قانون بيوت سافارت
قانون بيوت سافارت
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 ...
قانون بيوت سافارت: حل المشكلات
قانون بيوت سافارت: حل المشكلات
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 ...
المجال المغناطيسي بسبب سلك مستقيم رفيع
المجال المغناطيسي بسبب سلك مستقيم رفيع
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 ...
المجال المغناطيسي بسبب سلكين مستقيمين
المجال المغناطيسي بسبب سلكين مستقيمين
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 ...
القوة المغناطيسية بين تيارين متوازيين
القوة المغناطيسية بين تيارين متوازيين
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 ...
المجال المغناطيسي للحلقة الحالية
المجال المغناطيسي للحلقة الحالية
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 ...
تباعد وتجعيد المجال المغناطيسي
تباعد وتجعيد المجال المغناطيسي
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 ...
قانون أمبير
قانون أمبير
A fundamental property of a static magnetic field is that it is not conservative, unlike an electrostatic field. Instead, there is a relationship between ...
قانون أمبير: حل المشكلات
قانون أمبير: حل المشكلات
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 ...
الملفات اللولبية
الملفات اللولبية
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 ...
المجال المغناطيسي للملف اللولبي
المجال المغناطيسي للملف اللولبي
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 ...
حلقيات
حلقيات
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 ...
إمكانات المتجه المغناطيسي
إمكانات المتجه المغناطيسي
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic ...
الإمكانات بسبب جسم ممغنط
الإمكانات بسبب جسم ممغنط
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs ...
الشروط الحدودية المغناطيسية
الشروط الحدودية المغناطيسية
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular ...
قانون أمبير في المادة
قانون أمبير في المادة
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 ...
القابلية المغناطيسية والنفاذية
القابلية المغناطيسية والنفاذية
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of ...
العزم المغناطيسي للإلكترون
العزم المغناطيسي للإلكترون
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the ...
المغناطيسية
المغناطيسية
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the ...
المغناطيسية
المغناطيسية
Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly ...
المغناطيسية الحديدية
المغناطيسية الحديدية
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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