Properties of EM Waves: Practice Problem & Solution
When light propagates through a material medium of relative permittivity $\epsilon_r$ and relative permeability $\mu_r$ , the velocity of light, v is given by : (c - velocity of light in vacuum) (2022)
Solution Explained:
To solve this problem, we apply the core principles of Properties of EM Waves. Understanding the underlying formula is key to arriving at the correct answer below:
The velocity of light in a medium is given by $v = \frac{1}{\sqrt{\mu \epsilon}} = \frac{1}{\sqrt{\mu_0 \mu_r \epsilon_0 \epsilon_r}}$ . Since the speed of light in vacuum is $c = \frac{1}{\sqrt{\mu_0 \epsilon_0}}$ , we get $v = \frac{c}{\sqrt{\epsilon_r \mu_r}}$ .
Leave a Reply