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The electric flux density (D) and electric field intensity (E) are related through the permittivity of the medium (ε). The relationship is given by the equation:
[ D = epsilon E ]
where:
– ( D ) is the electric flux density (C/m²),
– ( E ) is the electric field intensity (V/m),
– ( epsilon ) is the permittivity of the medium (F/m).
In free space, this is expressed as:
[ D = epsilon_0 E ]
where ( epsilon_0 ) is the permittivity of free space. In a material medium, the relationship accounts for the material’s relative permittivity (εr) as well:
[ D = epsilon_0 epsilon_r E ]
This means that the electric flux density is proportional to the electric field intensity, with the permittivity acting as the proportionality constant.
Answer: a Explanation: The electric flux density is directly proportional to electric field intensity. The proportionality constant is permittivity. D=ε E. It is clear that both are in linear relationship