Electromagnetic WavesMedium
Question
The electric field of an electromagnetic wave travelling through a medium is given by
$\overrightarrow{E}(x,t) = 25sin\left( 2.0 \times 10^{15}t - 10^{7}x \right)\widehat{n}$ then the refractive index of the medium is $\_\_\_\_$。
(All given measurement are in SI units)
Options
A.1.2
B.2
C.1.5
D.1.7
Solution
$\omega = 2 \times 10^{15}rad/s$
$${k = 10^{7}{\text{ }m}^{- 1} }{V = \frac{2\pi}{k} \cdot \frac{\omega}{2\pi} = \frac{\omega}{k} = \frac{2 \times 10^{15}}{10^{7}} = 2 \times 10^{8} = \frac{C}{1.5} }{\Rightarrow \mu = 1.5}$$
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