
The dielectric constant of air is
B) 1
C) infinite
D) zero
Answer
519.9k+ views
Hint: This problem can be solved by using the direct formula for the dielectric constant of a medium in terms of its permittivity and the permittivity of free space. The permittivity of free space is essentially the permittivity of vacuum.
Formula used:
Complete step by step solution:
We will use the direct formula for the dielectric constant of a medium.
The dielectric constant of a medium which has a permittivity , is given by
--(1)
Where is the permittivity of free space or vacuum.
For dry air at room temperature, the permittivity is very close to the permittivity of free space. In fact the two differ by a factor of one-thousandth. Hence, using (1), we can say that the dielectric constant of air is
Hence, the dielectric constant of air is one.
Therefore, the correct option is B) 1.
Additional information:
The dielectric constant of a material is also known as its relative permittivity. It affects the ability of a material to store electric charges on it and affects the effects of the electric coulomb forces and electric fields in the medium. Usually dry air at room temperature has a dielectric constant close to one, however air filled with moisture has a greater dielectric constant.
Note: The dielectric constant of a medium can also be defined as the ratio of the capacitance of a capacitor whose space between the plates have been filled with a material of that medium, to the ratio of the capacitance of a capacitor which has air in between its plates. Hence, if the question is framed in such a way that these two capacitance values are given, then also the students can find out the dielectric constant of the material.
Formula used:
Complete step by step solution:
We will use the direct formula for the dielectric constant of a medium.
The dielectric constant
Where
For dry air at room temperature, the permittivity is very close to the permittivity of free space. In fact the two differ by a factor of one-thousandth. Hence, using (1), we can say that the dielectric constant
Hence, the dielectric constant of air is one.
Therefore, the correct option is B) 1.
Additional information:
The dielectric constant of a material is also known as its relative permittivity. It affects the ability of a material to store electric charges on it and affects the effects of the electric coulomb forces and electric fields in the medium. Usually dry air at room temperature has a dielectric constant close to one, however air filled with moisture has a greater dielectric constant.
Note: The dielectric constant of a medium can also be defined as the ratio of the capacitance of a capacitor whose space between the plates have been filled with a material of that medium, to the ratio of the capacitance of a capacitor which has air in between its plates. Hence, if the question is framed in such a way that these two capacitance values are given, then also the students can find out the dielectric constant of the material.
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