The permittivity of diamond is 1.46×10^-10C^2N^-1m^2 what is the dielectric constant of diamond?
What is it's susceptibility?
Answers
Answer:
diamond is very hard substance in the world
Thus, the dielectric constant ( k ) of diamond is 16.50
and the susceptibility ( χ ) of diamond is 15.50
Given: The permittivity of diamond is 1.46×10^-10 C^2.N^-1.m^2
To Find:
The dielectric constant of diamond and its susceptibility
Solution:
- We know that the dielectric constant of a substance can be found by calculating the ratio between the permittivity of the substance and the permittivity of free space.
Here, the permittivity of the diamond = 1.46 × 10^-10 C^2.N^-1.m^2
and permittivity of free space = 8.85 × 10^-12 C^2.N^-1.m^2
The dielectric constant ( k ) = (1.46 × 10^-10) ÷ (8.85 × 10^-12)
= 16.50
Now susceptibility ( χ ) can be found using the formula;
Dielectric constant ( k ) = 1 + susceptibility ( χ )
∴ susceptibility ( χ ) = 16.50 - 1
= 15.50
Thus, the dielectric constant ( k ) of diamond is 16.50
and the susceptibility ( χ ) of diamond is 15.50
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