Dielectric complex reluctance
Encyclopedia
Dielectric complex reluctance is a scalar measurement of a passive dielectric circuit (or element within that circuit) dependent on sinusoidal voltage
and sinusoidal electric induction flux, and this is determined by deriving the ratio of their complex effective amplitudes. The units of dielectric complex reluctance are
(inverse Farads - see Daraf
) [Ref. 1-3].
As seen above, dielectric complex reluctance is a phasor
represented as uppercase Z epsilon where:
The "lossless" dielectric reluctance
, lowercase z epsilon, is equal to the absolute value (modulus) of the dielectric complex reluctance. The argument distinguishing the "lossy" dielectric complex reluctance from the "lossless" dielectric reluctance is equal to the natural number
raised to a power equal to:
Where:
The "lossy" dielectric complex reluctance represents a dielectric circuit element's resistance to not only electric induction flux but also to changes in electric induction flux. When applied to harmonic regimes, this formality is similar to Ohm's Law
in ideal AC circuits. In dielectric circuits, a dielectric material has a dielectric complex reluctance equal to:
Where:
Voltage
Voltage, otherwise known as electrical potential difference or electric tension is the difference in electric potential between two points — or the difference in electric potential energy per unit charge between two points...
and sinusoidal electric induction flux, and this is determined by deriving the ratio of their complex effective amplitudes. The units of dielectric complex reluctance are
(inverse Farads - see DarafDaraf
The daraf is the unit of electrical elastance , the voltage across a capacitor after accepting an electric charge of 1 coulomb; it is the reciprocal of the farad...
) [Ref. 1-3].
As seen above, dielectric complex reluctance is a phasor
Phasor
Phasor is a phase vector representing a sine wave.Phasor may also be:* Phasor , a stereo music, sound and speech synthesizer for the Apple II computer* Phasor measurement unit, a device that measures phasors on an electricity grid...
represented as uppercase Z epsilon where:
-
and 
represent the voltage (complex effective amplitude) -
and 
represent the electric induction flux (complex effective amplitude) -
, lowercase z epsilon, is the real part of dielectric reluctance
The "lossless" dielectric reluctance
Dielectric reluctance
Dielectric reluctance is a scalar measurement of a passive dielectric circuit dependent on voltage and electric induction flux, and this is determined by deriving the ratio of their amplitudes. The units of dielectric reluctance are F−1 [Ref...
, lowercase z epsilon, is equal to the absolute value (modulus) of the dielectric complex reluctance. The argument distinguishing the "lossy" dielectric complex reluctance from the "lossless" dielectric reluctance is equal to the natural number
raised to a power equal to:
Where:
is the imaginary number
is the phase of voltage
is the phase of electric induction flux
is the phase difference
The "lossy" dielectric complex reluctance represents a dielectric circuit element's resistance to not only electric induction flux but also to changes in electric induction flux. When applied to harmonic regimes, this formality is similar to Ohm's Law
Ohm's law
Ohm's law states that the current through a conductor between two points is directly proportional to the potential difference across the two points...
in ideal AC circuits. In dielectric circuits, a dielectric material has a dielectric complex reluctance equal to:
Where:
is the length of the circuit element
is the cross-section of the circuit element
is the complex dielectric permeability
See also
- DielectricDielectricA dielectric is an electrical insulator that can be polarized by an applied electric field. When a dielectric is placed in an electric field, electric charges do not flow through the material, as in a conductor, but only slightly shift from their average equilibrium positions causing dielectric...
- Dielectric reluctanceDielectric reluctanceDielectric reluctance is a scalar measurement of a passive dielectric circuit dependent on voltage and electric induction flux, and this is determined by deriving the ratio of their amplitudes. The units of dielectric reluctance are F−1 [Ref...
— Special definition of dielectric reluctance that does not account for energy loss