Answer to Question #317684 in Electricity and Magnetism for Sonnet

Question

3. The electric (E) and magnetic (H) field vectors in a medium are given by

𝑬 = 𝒊^ 20𝑐𝑜𝑠(𝜔𝑡 + 𝜋𝑦)𝑉/𝑚 , 𝑯 = 𝒌^ 20 𝑐𝑜𝑠(𝜔𝑡 + 𝜋𝑦)𝐴/𝑚

𝜂

Use Maxwell’s equations to determine η and ω. Assuming that for the medium 𝜀 = 36𝜀𝑜 ,

𝜇 = 𝜇𝑜 .

Answer 1

$\eta=\frac EH=1,$

$\omega=\frac c{\sqrt{\varepsilon \varepsilon_0\mu\mu_0}}=5\cdot 10^7.$