Electromagnetic Waves — Formula Sheet

∮ B · dl = μ0 i(t)

Φ_E = |E| A = (1/ε0)(Q/A)A = Q/ε0

ε0 (dΦ_E/dt) = i

i = i_c + i_d = i_c + ε0 dΦ_E/dt

Only accelerated charges radiate electromagnetic waves

Frequency of EM wave = frequency of oscillation of charge

E_x = E0 sin(kz - ωt)

B_y = B0 sin(kz - ωt)

k = 2π/λ

ω = ck, where c = 1/√(μ0ε0)

2πν = c(2π/λ) or νλ = c

The electric flux between the capacitor plates is Φ_E = Q/ε0.

Displacement current is i_d = ε0 dΦ_E/dt.

In vacuum, the wave speed is c = 1/√(μ0ε0).

In a medium, the speed is v = 1/√(με).

Also, ω = ck and νλ = c.