How does the capacitance of capacitor vary with the dielectric resistant of a medium

Every dielectric medium will have a dielectric (strength) constant.

For space / vacuum it is 1. For rest of the dielectric media, it is greater than 1. The capacitance of a capacitor filled with a material of dielectric constant k, is given by the relation:

C = k . C0 (where C0 is the capacitance with space / vacuum as the dielectric material in that capacitor which means no dielectric between the plates)

So, it clearly states that the higher the dielectric constant, the more the capacitance i.e. it is directly proportional to the dielectric strength.

Dielectric constant varies with temperature.

Explanation:

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temp rises, and expansion