Ratio of the permittivity of medium to the permittivity of free space ...
The ratio of a medium's permittivity to the permittivity of free space is known as the dielectric constant or relative permittivity. The equation for relative permittivity is κ = ϵ/ϵ0, where ϵ is the permittivity of the medium and ϵ0 is the permittivity of free space. Both permittivity and the permittivity of free space have the same unit, farads per meter (F/m), so the dielectric constant is dimensionless.
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Ratio of the permittivity of medium to the permittivity of free space ...
Dielectric Constant:
Dielectric constant is defined as the ratio of the permittivity of a medium to the permittivity of free space. It is denoted by the Greek letter ε.
Formula:
Dielectric constant (ε) = Permittivity of medium (εr) / Permittivity of free space (ε0)
ε = εr / ε0
Where,
εr is the permittivity of the medium
ε0 is the permittivity of free space = 8.85 × 10^-12 F/m
Significance:
The dielectric constant is an important parameter that determines the effectiveness of a dielectric material in storing electrical energy. It is a measure of the ability of a material to store charge in an electric field.
Higher the dielectric constant, higher is the ability of the material to store charge.
Applications:
The dielectric constant is used in the design of capacitors, transmission lines, and other electrical components.
It is also used in the calculation of electric field strength, capacitance, and other electrical parameters.
Conclusion:
Thus, the ratio of the permittivity of a medium to the permittivity of free space is known as the dielectric constant or relative permittivity of the medium. It plays an important role in the design and functioning of various electrical components.
Ratio of the permittivity of medium to the permittivity of free space ...
Vacuum permittivity, sometimes called the electric constant, is represented by ε0 and has a value of approximately 8.85×10−12F/m. The permittivity of a dielectric medium is often represented by the ratio of its absolute permittivity to the electric constant.