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Relationship between E and B

The electric field \vec{E} and magnetic field \vec{B} are related by the wave equation and the speed of light: c = \frac{|\vec{E}|}{|\vec{B}|}.”
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The statement of the theorem

The relationship between the electric field E⃗\vec{E} and the magnetic field B⃗\vec{B} in a vacuum is defined by their mutual coupling in Maxwell's equations. They propagate as transverse waves where:\n\n1. The fields are mutually orthogonal: E⃗⋅B⃗=0\vec{E} \cdot \vec{B} = 0\n2. The ratio of their magnitudes is constant: c=∣E⃗∣∣B⃗∣c = \frac{|\vec{E}|}{|\vec{B}|}\n3. They are in phase and perpendicular to the direction of propagation k⃗\vec{k}.\n\nThe instantaneous energy flux density is given by the Poynting vector:\n\nS⃗=1μ0(E⃗×B⃗)\vec{S} = \frac{1}{\mu_0} (\vec{E} \times \vec{B})
Source: Wikipedia