Question

How is the dielectric constant of a medium defined as a ratio?

Options

• The ratio of electric field with a dielectric to the field without one: \[K=\frac{E}{E_0}\]

• The ratio of vacuum permittivity to the permittivity of a medium: \[K=\frac{\varepsilon_0}{\varepsilon}\]

• The ratio of capacitance without a dielectric to capacitance with a dielectric: \[K=\frac{C_0}{C}\]

• The ratio of the permittivity of a medium to the permittivity of vacuum: \[K=\frac{\varepsilon}{\varepsilon_0}\]

Answer 1

The dielectric constant is the permittivity of the medium divided by the permittivity of vacuum. Thus, \[K=\frac{\varepsilon}{\varepsilon_0}\].