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CGP EDU Academic Team
Published on: September 12, 2026
If dielectric constant of water is 80. Find its absolute permittivity.
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: The absolute permittivity (\varepsilon) of a material is given by the formula:
\[\varepsilon = \varepsilon_0 \times \kappa\]
where \(\varepsilon_0\) is the permittivity of free space, and \(\kappa\) is the dielectric constant (relative permittivity) of the material.
Step 2: The value of \(\varepsilon_0\) is approximately:
\[\varepsilon_0 = 8.85 \times 10^{-12} \, \text{F/m}\]
Step 3: Given that the dielectric constant of water (\(\kappa\)) is 80, we can plug in the values:
\[\varepsilon = 8.85 \times 10^{-12} imes 80 \]
Step 4: Calculating \(\varepsilon\):
\[\varepsilon = 8.85 \times 10^{-12} \times 80 = 7.08 \times 10^{-10} \, \text{F/m}\]
Therefore, the absolute permittivity of water is approximately \(7.08 \times 10^{-10} \, \text{F/m}\).
\[\varepsilon = \varepsilon_0 \times \kappa\]
where \(\varepsilon_0\) is the permittivity of free space, and \(\kappa\) is the dielectric constant (relative permittivity) of the material.
Step 2: The value of \(\varepsilon_0\) is approximately:
\[\varepsilon_0 = 8.85 \times 10^{-12} \, \text{F/m}\]
Step 3: Given that the dielectric constant of water (\(\kappa\)) is 80, we can plug in the values:
\[\varepsilon = 8.85 \times 10^{-12} imes 80 \]
Step 4: Calculating \(\varepsilon\):
\[\varepsilon = 8.85 \times 10^{-12} \times 80 = 7.08 \times 10^{-10} \, \text{F/m}\]
Therefore, the absolute permittivity of water is approximately \(7.08 \times 10^{-10} \, \text{F/m}\).
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