Calculated physical quantities in Transient magnetics

For transient magnetic problems the QuickField postprocessor calculates the following set of local and integral physical quantities.

Local quantities:

Vector magnetic potential A (flux function rA in axisymmetric case);
Voltage U applied to the conductor;
Total current density j_total = j_external + j_eddies,
source current density j_external,
and eddy current density j_eddies = -σ·∂A/∂t.

Vector of the magnetic flux density B = curl A
Planar case: \[ B_x = \frac{\partial A}{\partial y}, \quad B_y = -\frac{\partial A}{\partial x} \]
Axisymmetric case: \[ B_z = \frac{1}{r}\frac{\partial (rA)}{\partial r}, \quad B_r = -\frac{\partial A}{\partial z} \]
Vector of magnetic field intensity \[ \mathbf H = μ^{-1} · \mathbf B \] where μ is the magnetic permeability tensor;
Power loss density \[ Q = σ^{-1} · j^2 ; \]
Magnetic field energy density \[ w = \frac{1}{2}\left (\mathbf B · \mathbf H \right ) ; \]
Electric conductivity σ.

Integral quantities: