Question

The relative permittivity of water is 81. If ${\epsilon }_0$ and $\epsilon$ are permittivities of vaccum and water respectively Then:

• A. ${\epsilon }_0=9{\epsilon }_w$
• B. ${\epsilon }_0=81{\epsilon }_w$
• C. ${\epsilon }_w=9{\epsilon }_0$
• D. ${\epsilon }_w=81{\epsilon }_0$

Answer 1

The correct option is D ${\epsilon }_w=81{\epsilon }_0$

The relative permittivity of water id defined as:

${\epsilon }_{rel}=\frac{{\epsilon }_w}{{\epsilon }_0}$

Substituting the values:

$81=\frac{{\epsilon }_w}{{\epsilon }_0}$

So, ${\epsilon }_w=81{\epsilon }_0$