The dielectric constant, also known as the relative permittivity, is a measure of how much a material can resist the electric field within it and store electrical energy. It is a ratio that compares the permittivity of a material to the permittivity of free space (vacuum).
In simpler terms:
- Permittivity is a property of a material that tells you how easily it allows electric field lines to pass through it.
- The dielectric constant (or relative permittivity) is a dimensionless number that shows how much better (or worse) a material can store charge compared to a vacuum.
Mathematically:
\[
\text{Dielectric constant} (K) = \frac{\varepsilon}{\varepsilon_0}
\]
Where:
- \(\varepsilon\) is the permittivity of the material (how the material responds to the electric field).
- \(\varepsilon_0\) is the permittivity of free space (vacuum).
Example:
- In a vacuum, the dielectric constant is 1 because \(\varepsilon = \varepsilon_0\).
- For water, the dielectric constant is much higher (about 80 at room temperature), which means water can store a lot of electrical energy compared to a vacuum.
In short, the dielectric constant tells you how much a material can affect or modify the electric field compared to the vacuum. The higher the dielectric constant, the more the material can reduce the electric field inside it.