Define electric field intensity and relative permittivity as used in electrostatics

i. Electric field intensity: The electric field intensity is a measure of the strength of the electric field at a particular point in space. It is defined as the force per unit charge experienced by a charged particle at that point in the electric field. Electric field intensity is typically denoted by the symbol E and is measured in units of volts per meter (V/m).

E = \frac{F}{q}

Where F is the force experienced by a charged particle in the electric field, and q is the charge of the particle.

ii. Relative permittivity: The relative permittivity of a material, also known as the dielectric constant, is a measure of the ability of the material to store electrical charge. It is defined as the ratio of the electric displacement in the material to the electric field strength. Relative permittivity is typically denoted by the symbol εr and is a dimensionless quantity.

\epsilon_r = \frac{\epsilon}{\epsilon_0}

Where ε is the permittivity of the material, and ε0 is the permittivity of free space.