The electric field of an electromagnetic wave in free space is represented as $\vec{E}$ = E₀ cos(ωt - kz) î. The corresponding magnetic induction vector will be :
Options

Question

The electric field of an electromagnetic wave in free space is represented as E ⃗ \vec{E} E = E₀ cos(ωt - kz) î. The corresponding magnetic induction vector will be :

G1 Physics · Accepted Answer

Given, E⃗ = E₀ cos(ωt - kz) î The wave propagates along +z direction. For an electromagnetic wave: B₀ = E₀/C and Ĉ = Ê × B̂ Since î × ĵ = k̂, B⃗ must be along +ĵ. Therefore, B⃗ = (E₀/C) cos(ωt - kz) ĵ