f E→ and K→ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by: ( ω - angular frequency) :
Question
f E→ and K→ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by: ( ω - angular frequency) :
Solution
The magnetic field vector B→ in an electromagnetic wave is given by the cross product of the propagation vector K→ and the electric field vector E→, divided by the speed of light c (since c = ω/k in vacuum, where ω is the angular frequency and k is the wave number). This can be mathematically represented as:
B→ = (K→ x E→) / c
This equation represents the fact that the magnetic field, electric field, and direction of propagation in an electromagnetic wave are all perpendicular to each other.
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