What is the difference between the dielectric constant (relative permittivity, er) and the real part of the complex dielectric constant (e')? Are they the same thing? I know tan delta = e''/e'.
Relative permittivity (or the dielectric constant) is the ratio between the permittivity of the substance to the permittivity of vacuum. It is also denoted as a complex frequency dependent value with both the real and imaginary parts, in which case it is denoted as dielectric function.
so is the Relative permittivity (or the dielectric constant) numerically equal to the real part of the complex value?
Technically, no. When it is static dielectric constant then they are equal numerically. But in the case of frequency dependency they are not equal because there is an imaginary factor also. Hope it clarifies the doubt.
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