Find the dielectric constant for a material with electric susceptibili...
Answer: b
Explanation: The electric susceptibility is given by χe = εr – 1. For a susceptibility of 4, the dielectric constant will be 5. It has no unit.
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Find the dielectric constant for a material with electric susceptibili...
Dielectric constant, also known as relative permittivity, is a measure of how well a material can store electrical energy in an electric field. It is denoted by the symbol εr. The electric susceptibility, denoted by the symbol χe, is related to the dielectric constant by the equation:
εr = 1 + χe
Given that the electric susceptibility of the material is 4, we can calculate the dielectric constant as follows:
εr = 1 + 4 = 5
Therefore, the dielectric constant for the material is 5.
Explanation:
To understand why the dielectric constant is 5, let's first understand the concept of electric susceptibility. Electric susceptibility is a dimensionless quantity that measures the extent to which a material can become polarized in response to an applied electric field. It is a measure of how easily the charges within a material can be separated under the influence of an electric field.
The dielectric constant, on the other hand, is a measure of the ability of a material to store electrical energy in an electric field. It is defined as the ratio of the capacitance of a capacitor filled with the material to the capacitance of the same capacitor filled with a vacuum.
The dielectric constant is directly related to the electric susceptibility through the equation εr = 1 + χe. Therefore, if the electric susceptibility of a material is 4, the dielectric constant would be 1 + 4 = 5.
In other words, a material with a dielectric constant of 5 can store electrical energy 5 times better than a vacuum. This means that when an electric field is applied to the material, the charges within the material can be separated more easily, resulting in a higher capacitance and the ability to store more electrical energy.
Hence, the correct answer is option 'B' - 5.
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