An electromagnetic wave of frequency 100 MHz propagates through a medium of conductivity, =10 mho / m . The ratio of maximum conduction current density to maximum displacement current density is _ _ _ _ . [ Take 1 4 _ o =9 10⁹ Nm ² / C ² ]

Step-by-step solution

For an electromagnetic wave in a conducting medium, the maximum conduction current density is J_ c,max = E₀ and maximum displacement current density is J_ d,max = ₀ E₀ . The ratio is: J_ c,max J_ d,max = ₀ . With = 10 mho/m, f = 100 MHz So = 2 10^8 rad/s, and ₀ = 10⁻⁹ 36 F/m: J_ c,max J_ d,max = 10 36 10⁻⁹ 2 10^8 = 10 36 2 10⁻¹ = 1800 .