Define dielectric constant in term of capacitance

Hi,

@zaarakhan48… and @kaavyamurali have given a suitable answer. Keep it up students.

Dielectric constant of the medium is the ratio of the electrostatic force of interaction between two given point charges held certain distance apart in vacuum/air to the force of interaction between the same two charges held the same distance apart in the material medium.

F_{0}/F_{m}=ε/ε_{0}=K……………………………………………(from Coloumb’s law)

We need to keep in mind that dielectrics are insulators and they do not conduct electricity however, charges can get induced in them.

Faraday observed that when a dielectric is fully occupying the space between the charged plates of a capacitor, its capacitance increases. The factor by which capacitance is multiplied depends on the nature of the dielectric introduced, and is called the dielectric constant (K) of the material.

K = capacitance of a capacitor with dielectric between the plates / capacitance of the same capacitor with vacuum/air in between the plates.

K = C_{m}/C_{0}

Where C_{m} is the capacitance when dielectric is between the plates and C_{0} is the capacitance when air is between the plates.

**
**