Alexander Fufaev

Formula: 2. Maxwell equation (differential form)

Second Maxwell equation in integral form

Magnetic field

Magnetic flux density determines the magnitude and direction of the magnetic force on a moving electric charge.

Divergence field

Scalar divergence field is the scalar product between the nabla operator \(\nabla\) and the magnetic field \( \boldsymbol{B} \): \[ \nabla \cdot \class{violet}{\boldsymbol{B}} ~=~ \frac{\partial \class{violet}{B_{\text x}}}{\partial x} + \frac{\partial \class{violet}{B_{\text y}}}{\partial y} + \frac{\partial \class{violet}{B_{\text z}}}{\partial z} \]

The divergence field is no longer a vector field but a scalar function. The divergence field \( \nabla \cdot \class{violet}{\boldsymbol{B}(x,y,z)} \) at the location \((x,y,z)\) is always zero. This means that there are no magnetic charges.