The energy associated with electric field is (UE) and with magnetic field is (UB) for an electromagnetic wave in free space. Then:

Engineering

Physics

Electromagnetic Waves

Question

The energy associated with electric field is (U_E) and with magnetic field is (U_B) for an electromagnetic wave in free space. Then:

U_E > U_B

U_E = U_B

$U_{E} = \frac{U_{B}}{2}$

U_E < U_B

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$B = \frac{E}{C}$

$\Rightarrow U_{E} = \frac{1}{2} ε_{o} E^{2}$

$U_{B} = \frac{B^{2}}{2 μ_{o}} = \frac{E^{2}}{2 μ_{o} C^{2}} = \frac{E^{2}}{2 μ_{o}} (μ_{o} ε_{o}) = U_{E}$