Chapter 29
Sources of Magnetic Fields
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving…
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…
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…
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…
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 magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
To evaluate the divergence…
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…
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…
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…
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the…
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular…
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…
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional…
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field,…
The aortic valve, located between the left ventricle and the aorta, allows for unidirectional blood flow, preventing backflow into the ventricle.…
While the first Electron Paramagnetic Resonance (EPR) studies regarding the effects of oxidation on the structure and stability of carbon radicals…