Final answer:
The Dielectric Constant can take values of 1 or greater than 1. It is the ratio of the electric field in a vacuum to that within the material and is crucial in applications like capacitors.
Step-by-step explanation:
The values that the Dielectric Constant (ε) can take are 2) 1 or 3) Greater than 1. The dielectric constant is defined as k = Eo/E, which is the ratio of the electric field in a vacuum to the electric field in the dielectric material. It expresses a material's ability to reduce the electrostatic forces between charged particles. Therefore, the dielectric constant cannot be 0, because that would imply an infinite electric field in the material, which is not physically plausible. A dielectric constant of 1 implies the presence of a vacuum, as the ratio of the electric fields would be equal. For dielectric materials, the constant is always greater than 1, signifying a reduction of the electric field within the material compared to a vacuum. This property is related to the polarizability of the material and is critical in applications like capacitors, where a dielectric increases the capacitance by reducing the electric field.