Question

The permittivity of medium is 26.55 x 10-12 C²/Nm². Calculate the dielectric constant of the medium.

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

Answer: (B)

3

Answer 2

The dielectric constant ($K$) of a medium is defined as the ratio of the permittivity of the medium ($\epsilon$) to the permittivity of free space ($\epsilon_0$).

Given: Permittivity of the medium, $\epsilon = 26.55 \times 10^{-12} \text{ C}^2/\text{Nm}^2$

The permittivity of free space is a known constant: $\epsilon_0 = 8.85 \times 10^{-12} \text{ C}^2/\text{Nm}^2$

The formula for the dielectric constant is:

$K = \frac{\epsilon}{\epsilon_0}$

Substitute the given values into the formula:

$K = \frac{26.55 \times 10^{-12} \text{ C}^2/\text{Nm}^2}{8.85 \times 10^{-12} \text{ C}^2/\text{Nm}^2}$

The $10^{-12}$ terms and units cancel out:

$K = \frac{26.55}{8.85}$

$K = 3$

Thus, the dielectric constant of the medium is 3.