An electromagnetic wave travels from vacuum into a non-magnetic dielectric medium with permittivity = 4 ₀ . If the ratio (E₀/B₀) of the electric field amplitude E₀ to the magnetic field amplitude B₀ in vacuum is equal to the speed of light c , then the corresponding ratio in the given medium is

Step-by-step solution

The ratio of the electric field amplitude to the magnetic field amplitude in any medium is equal to the speed of the electromagnetic wave in that medium. v = E B The speed of an electromagnetic wave in a medium is given by: v = 1 For a non-magnetic dielectric medium, = ₀ . Given = 4 ₀ . v = 1 ₀ (4 ₀) = 1 2 ₀ ₀ Since the speed of light in vacuum is c = 1 ₀ ₀ , we get: v = c 2 Thus, the corresponding ratio in the given medium is c/2 . Answer: c/2