Permittivity =[Ɛo] = [Charge]2 /([Force] [Distance]2)
=[TA]2 / [MLT-2] [L]2{[A] is the dimensional formula of electric charge}
=[TA]2 / [ML3T-2]
=[M-1L-3T(2+2)A2]
= [M-1L-3T4A2]
Permittivity =[Ɛo] = [Charge]2 /([Force] [Distance]2) =[TA]2 / [MLT-2] [L]2{[A] is the dimensional formula of electric charge} =[TA]2 / [ML3T-2] =[M-1L-3T(2+2)A2] = [M-1L-3T4A2]
The formula for calculating the electric flux through a surface due to a point charge is given by q / , where is the electric flux, q is the charge, and is the permittivity of free space.
The velocity of a wave traveling through a cable is given by the formula ( v = \frac{1}{\sqrt{\mu \epsilon}} ), where ( \mu ) is the permeability of the medium and ( \epsilon ) is the permittivity of the medium. Given that the relative permittivity ( \epsilon_r = 9 ), the permittivity of the medium ( \epsilon ) can be calculated by ( \epsilon = \epsilon_0 \times \epsilon_r ), where ( \epsilon_0 ) is the permittivity of free space. By substituting the values of ( \mu ) and ( \epsilon ) into the formula, the velocity of the wave through the cable can be determined.
The formula for calculating electromagnetic wave intensity is given by the equation: Intensity (Electric field strength)2 / (2 Permittivity of free space Speed of light)
The relationship between the electric field intensity (E), charge density (q), and permittivity of free space () is given by the equation E q / (). This equation shows that the electric field intensity is directly proportional to the charge density and inversely proportional to the permittivity of free space.
The formula for calculating the electric field of a cylinder is E / (2r), where E is the electric field, is the charge density of the cylinder, is the permittivity of free space, and r is the distance from the axis of the cylinder.
From Wikipedia: "In SI units, permittivity is measured in farads per meter (F/m or A2·s4·kg−1·m−3)"
The relationship between the electric field (E), permittivity of free space (), and electric charge density () in a given system is described by Gauss's Law, which states that the electric field (E) at a point in space is directly proportional to the electric charge density () at that point and inversely proportional to the permittivity of free space (). Mathematically, this relationship is represented as E / .
The formula for calculating the electrostatic energy of a spherical shell is U (Q2)/(8R), where U is the electrostatic energy, Q is the charge on the shell, is the permittivity of free space, and R is the radius of the shell.
The capacitance between two concentric spheres is determined by the radius of the spheres and the permittivity of the material between them. It can be calculated using the formula C 4rr / (r - r), where C is the capacitance, is the permittivity of free space, r is the radius of the inner sphere, and r is the radius of the outer sphere.
The capacitance of a cylindrical capacitor is determined by the formula C 2L / ln(b/a), where C is the capacitance, is the permittivity of free space, L is the length of the cylinder, b is the outer radius, and a is the inner radius.
YES IT IS. Any quantity which is ratio of two physical quantities having same unit is dimensionless. Dielectric constant is ratio of Permittivty of medium to the permittivity of free space. As Permittivity of medium and permittivity of free space both have same units(F/m ie Farad/meter) dielectric constant becomes dimensionless quantity