# Electrodynamic Frequency

The electrodynamic solution describes the distribution of electric fields due to dynamically varying charges and/or levels of electric potential in frequency domain.

## Features

• 2D, 3D or axisymmetric Solution, dynamic in frequency domain
• Outputs, Plot
• Electric Fluxdensity
• Electric Fieldstrength
• Electric Potential (phi-Pot)
• Current Density
• Eddy Current Losses Density
• Outputs, Table
• Electrode Voltage, Current, Power
• Circuit Voltage, Current, Power
• Eddy Current Losses

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## Theory and Basics

### Formulations

The basis equations:
(1)           rot e = 0
(2)           div d = ρ
(3)           d = ε e

Constitutive relations:
(4)        j = σ e

Boundary conditions:
(5)        n x e  | Γ0e = 0
(6)        n * d  | Γ0d = 0

Electric scalar potential formulation:
(7)        div ε grad v = - ρ with
(8)        e = -grad v

Electrodynamic weak v-formulation:
(9)        ( d/dt(-ε grad v), grad v’ )Ω + (σ grad v, grad v’ )Ωc = 0,
for all v’ element of Ω

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