Electromagnetic Waves — Formula Sheet

i_d = \varepsilon_0 \frac{d\phi_E}{dt}

E_x = E_0 \sin(kz - \omega t)

B_y = B_0 \sin(kz - \omega t)

B_0 = \frac{E_0}{c}

c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}

v = \frac{1}{\sqrt{\mu \varepsilon}}

These waves travel in vacuum at speed \( c = 3 \times 10^8 \, \text{m/s} \), given by \( c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}} \).

Field amplitudes are related by $ B_0 = E_0 / c $.