An electromagnetic wave passes through space and its equation is given by E = E₀ sin(ω t - kx). The energy density of the electromagnetic wave in space is:
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In electromagnetic waves, electric and magnetic energies are equal.
Step 1: Energy density components.
Total energy density is sum of electric and magnetic energy densities.
Step 2: Equality of contributions.
Each contributes:
(1)/(4)₀ E₀²
Step 3: Total energy density.
u = (1)/(2)₀ E₀²