An electromagnetic wave propagates in a medium having a relative permittivity of 2 . If the ratio of the magnitude of the electric field intensity to the magnetic field intensity for this wave is 240 , , the relative permeability of the medium is: (Given ₀ ₀ = 120 , )

Step-by-step solution

The ratio of the magnitude of the electric field intensity ( E ) to the magnetic field intensity ( H ) represents the wave impedance ( Z ) of the medium. The wave impedance of a medium is given by: E H = = ₀ _r ₀ _r We can rewrite this as: E H = ₀ ₀ _r _r Substitute the given values into the equation: 240 = 120 _r 2 Dividing both sides by 120 gives: 2 = _r 2 Squaring both sides: 4 = _r 2 _r = 8 The relative permeability of the medium is 8 . Answer: 8