Alexander Fufaev

Formula: 4th Maxwell Equation in Integral Form

Current + time-dependent E-field generate a rotating B-field and vice versa

Magnetic field

Unit
The magnetic flux density indicates how strong the magnetic field is at a certain location \((x,y,z)\) and in which direction it points.

Closed line

Unit
Line (e.g. a current-carrying conductor) over which you integrate. It is the edge of the surface \( A \) (for example the edge of a circle). The line must be closed, i.e. its beginning and its end must be connected.

Surface

Unit
This surface is enclosed by the closed loop \(L\). This can be, for example, the area of a circle.

Electric current

Unit
Electric current running along the line \(L\).

Electric field

Unit
Electric field tells what would be the electric force on a sample charge at a given location \((x,y,z)\) if that sample charge is placed at that location.

Here the E-field is differentiated with respect to time: \( \frac{\partial \boldsymbol{E}}{\partial t} \).

Vacuum permeability

Unit
The vacuum permeability is a physical constant and has the following experimentally determined value: $$ \mu_0 ~=~ 1.256 \, 637 \, 062 \, 12 ~\cdot~ 10^{-6} \, \frac{\mathrm{Vs}}{\mathrm{Am}} $$