Users' questions

What is the unit of volume current density?

What is the unit of volume current density?

In SI base units, the electric current density is measured in amperes per square metre….

Current density
Common symbols j →
In SI base units A m−2
Dimension I L−2

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.

What do you mean by Bound current densities in Magnetostatics?

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.

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 are the units of current density?

The SI unit of electric current density is ampere per square meter. The symbol “J” is used for electric current density.

Is current density always positive?

I know that current density always points in the direction of flow of positive charge.

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 surface bound current?

In cgs, the bound surface current due to magnetization M is given by. (1) where c is the speed of light, M is the magnetization, and is the unit normal vector, and in MKS.

What is the difference between current and current density?

Current density is a quantity related to electric current. The symbol for current density is J (bold). As a vector, current density has magnitude and direction. By definition, current density is the product of charge density (ρ) and velocity (v)….Summary.

I = electric current [A]
v, v = drift velocity [m/s]
A = area [m2]

What is current density equal to?

The SI unit of current is the ampère [A]. An ampère is a coulomb per second. The ampère is one of the seven base units of the International System of Units….Summary.

J, J = current density [A/m2] as a vector or its scalar magnitude
v = drift velocity [m/s]
A = area [m2]

Is current density and current same?

Current density is referred to as the total amount of current which is flowing through one unit value of a cross-sectional area. If this is of uniform current flow, then the amount of current which is flowing through a specific conductor is the same at all points of the conductor, even if the conductor area differs.

How is the bound volume current density related to the magnetization?

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).

Where is the bound volume current and the bound surface current?

where is the bound volume current and is the bound surface current. If the material has a uniform magnetization then the bound volume current is zero. The field produced by a magnetized object is equal to the field produced by the bound currents.

How does the current density satisfy the continuity equation?

Since charge is conserved, current density must satisfy a continuity equation. Here is a derivation from first principles. The net flow out of some volume V (which can have an arbitrary shape but fixed for the calculation) must equal the net change in charge held inside the volume:

Which is correct surface current density or volume current density?

Griffiths similarly defined volume current density as current per unit area perpendicular to the current flow, while in my opinion, it should be current per unit VOLUME… This is really very confusing to me, please clarify. Thanks! You are wrong that google results say that surface current density is a current per unit area.