Dielectric complex reluctance

Dielectric complex reluctance is the complex value, which is equal to the relation of the complex effective or amplitude value of a sinusoidal voltage on the passive dielectric circuit or its element and accordingly the complex effective or amplitude value of a sinusoidal electric induction flux in this circuit or in this element.

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Dielectric complex reluctance [1-3] is measuring in the units – [1/F] and determining by the formula:

$Z_\epsilon = \frac{\dot U}{\dot Q} = \frac{\dot {U}_m}{\dot {Q}_m} = z_\epsilon e^{j\phi}$

where $z_\epsilon = \frac{U}{Q} = \frac{U_m}{Q_m}$ is the relation of the effective or amplitude value of a voltage and accordingly of the effective or amplitude electric induction flux is naming as the dielectric reluctance (amplitude value).

The dielectric reluctance is equal to the modulus of the dielectric complex reluctance. The argument of a dielectric complex reluctance is equal to the difference of the phases of the voltage and the electric induction flux $φ = β - α$ .

Dielectric complex reluctance represents by itself the dielectric resistance to an electric induction flux and is determining by the properties of the dielectric circuit. Since, when the energy loss are in dielectric medium, a dielectric permeability is the complex value (for harmonic regimes), that accordingly the dielectric reluctance in general case represents by itself also the complex value:

$Z_\epsilon = \dot {\epsilon} \epsilon_0 \frac{l}{S}$