“permittivity(symbol: ε; unit: farad per metre)”的概念、定义、翻译、参考文献-科学参考

permittivity(symbol: ε; unit: farad per metre)

Electronics and Electrical Engineering

The ratio of the electric displacement, D, in a dielectric medium to the applied electric field strength, E, i.e.
$ε = \frac{D}{E}$
The permittivity of free space is designated ε₀ and is termed the electric constant. It is related to the permeability of free space, μ₀, by the equation
$ε_{0} μ_{0} = \frac{1}{c^{2}}$
where c is the speed of light. Thus since μ₀ has the value 4π × 10⁻⁷ henry per metre in the system of SI units, then
$ε_{0} = (\frac{1}{4 π c^{2}}) \times 10^{7} farad / metre = 8.854 187 817 \times 10^{- 12} farad / metre$
The relative permittivity, ε_r, is the ratio of the electric displacement in a medium to the electric displacement in free space for the same value of applied electric field strength, i.e.
$ε_{r} = \frac{ε}{ε_{0}}$
The dimensionless quantity ε_r is also termed the dielectric constant when it is independent of electric field strength and refers to the dielectric medium of a capacitor. It can then be defined as the ratio of the capacitance of the capacitor containing the dielectric medium to the capacitance it would have were the dielectric removed.

单词	permittivity(symbol: ε; unit: farad per metre)
释义	permittivity(symbol: ε; unit: farad per metre) Electronics and Electrical Engineering The ratio of the electric displacement, D, in a dielectric medium to the applied electric field strength, E, i.e. $ε = \frac{D}{E}$ The permittivity of free space is designated ε₀ and is termed the electric constant. It is related to the permeability of free space, μ₀, by the equation $ε_{0} μ_{0} = \frac{1}{c^{2}}$ where c is the speed of light. Thus since μ₀ has the value 4π × 10⁻⁷ henry per metre in the system of SI units, then $ε_{0} = (\frac{1}{4 π c^{2}}) \times 10^{7} farad / metre = 8.854 187 817 \times 10^{- 12} farad / metre$ The relative permittivity, ε_r, is the ratio of the electric displacement in a medium to the electric displacement in free space for the same value of applied electric field strength, i.e. $ε_{r} = \frac{ε}{ε_{0}}$ The dimensionless quantity ε_r is also termed the dielectric constant when it is independent of electric field strength and refers to the dielectric medium of a capacitor. It can then be defined as the ratio of the capacitance of the capacitor containing the dielectric medium to the capacitance it would have were the dielectric removed.
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