A plane electromagnetic wave is propagating through a non-magnetic dielectric medium of relative permittivity 4 . The electric field of the wave is given by E = 30 (kz - t) i V/m . The corresponding magnetic field vector B of the wave is (Speed of light in vacuum c = 3 10^8 m/s )

Step-by-step solution

The speed of the electromagnetic wave in the dielectric medium is given by v = c _r _r . For a non-magnetic medium, _r = 1 . Given _r = 4 . v = 3 10^8 1 4 = 1.5 10^8 m/s The amplitude of the magnetic field is related to the electric field amplitude by B₀ = E₀ v . B₀ = 30 1.5 10^8 = 2 10⁻⁷ T The wave propagates in the +z direction, so v = k . The direction of the electric field is E = i . The direction of propagation is given by E B = v . i B = k Since i j = k , the direction of the magnetic field is B = j . Therefo