What is bound volume current density?
What is bound volume current density?
Since the magnitudes of the bound current densities are constant, the total bound current from volume is obtained by multiplying the current density with and the surface bound current is obtained by multiplying with the circumference . These two contributions being equal and opposite, the net bound current is zero.
How do you find volume with current density?
The total volume is about 4.5 x e-6 m3 . A current density of 1e6 A/m2 is applied to the body. As current density J=I/A , if applied to a 2D surface area, it is pretty straight forward to calculate the current flowing through the area.
What is the bound volume current density for a uniformly magnetized material?
zero
If the material has a uniform magnetization then the bound volume current is zero.
What is bound density?
The bound current density in a dielectric caused by a magnetization M is given in cgs by. where c is the speed of light and is the curl, and in MKS by. Bound Surface Current, Current Density, Free Current Density, H, Magnetization.
What is the bound current?
Origin of the Bound Currents. Physically, the bound currents on the surface of a magnetized material (and also in its. volume for a non-uniform M) originate from the mis-cancellation of the microscopic currents. inside the atoms which give rise to their magnetic moments.
What is meant by Bound current?
a. The process of making a substance temporarily or permanently magnetic, as by insertion in a magnetic field. b. The extent to which an object is magnetized. 2.
How do you calculate density from current density?
The magnitude of current density is also equivalent to the ratio of current (I) to area (A). In equation form, current density can be written as… The SI unit of current density is the ampère per square meter [A/m2]….Summary.
| microscopic current | microscopic current density |
|---|---|
| I = nqAv | J = nqv |
What is a bound current?
What is surface current density?
when charge flows over a surface, we describe it by the surface current density, K. Consider a ‘ribbon’ of infinitesimal width dL running parallel to the current flow. If the current in this ribbon is dI, surface current density is K=dI/dL.
What is free current and bound current?
Bound charge is simply the charge due to polarization, and the free charge is the other (i.e. non-bound) charge.
What is the difference between free current and bound current?
A free charge is not bound to the nucleus and can have any energy from zero. A bound charge, on the other hand, is bound to the nucleus and can have only quantized energies. The energy possessed by it is both potential and kinetic in nature with potential energy being greater always.
How do you find the bound volume and surface current density?
The bound volume current density, Jb, is related to the magnetization by, Jb = ∇ × M. The bound surface current density is related to the magnetization by Kb = M × n, where n is the unit vector that is normal to the surface being investigated (it is equivalent to n-hat as seen in the equations that are presented as images).
What is the bound volume current density of a magnetized cylinder?
Since the cylinder has a magnetization throughout its interior, both a bound volume current density and a bound surface current density must be examined. The bound volume current density, Jb, is related to the magnetization by, Jb = ∇ × M.
How is current density related to magnetic field?
An elaborate theoretical formalism has developed to explain many fundamental observations. The current density is an important parameter in Ampère’s circuital law (one of Maxwell’s equations), which relates current density to magnetic field. In special relativity theory, charge and current are combined into a 4-vector.
What is the bound surface current of an object?
The bound surface current that matters to us is the one along the cylindrical side of this object. This cylindrical surface is located at r = R and the bound surface current density is given by, All of the current is flowing along the z axis.
