Dielectric reluctance
Encyclopedia
Dielectric reluctance is a scalar measurement of a passive dielectric circuit (or element within that 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 (inverse farad
s—see daraf
) [Ref. 1-3].
As seen above, dielectric reluctance is represented as lowercase z epsilon.
For a dielectric
in a dielectric circuit to have no energy losses, the imaginary part of its dielectric reluctance is zero. This constitutes a lossless "resistance" to electric induction flux, and is therefore real
, not complex
. This formality is similar to Ohm's Law
for a resistive circuit
. In dielectric circuits, a dielectric material has a "lossless" dielectric 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 electric induction flux, and this is determined by deriving the ratio of their amplitudes. The units of dielectric reluctance are F−1 (inverse farad
Farad
The farad is the SI unit of capacitance. The unit is named after the English physicist Michael Faraday.- Definition :A farad is the charge in coulombs which a capacitor will accept for the potential across it to change 1 volt. A coulomb is 1 ampere second...
s—see daraf
Daraf
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 reluctance is represented as lowercase z epsilon.
For a dielectric
Dielectric
A 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...
in a dielectric circuit to have no energy losses, the imaginary part of its dielectric reluctance is zero. This constitutes a lossless "resistance" to electric induction flux, and is therefore real
Real analysis
Real analysis, is a branch of mathematical analysis dealing with the set of real numbers and functions of a real variable. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real...
, not complex
Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics,...
. 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...
for a resistive circuit
Resistive circuit
A resistive circuit is an electrical circuit designed to use resistance as a means of controlling the behavior of the electrical current in the circuit. A light bulb is an example of a useful resistive circuit. Many devices such as floor heaters, electric stoves, ovens, clothes dryers, etc...
. In dielectric circuits, a dielectric material has a "lossless" dielectric reluctance equal to:
Where:
is the circuit length
is the cross-section of the circuit element
is the 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 complex reluctance — General definition of dielectric reluctance that accounts for energy loss