In a certain material electromagnetic waves propagate such that their angular frequency w and wave number k are related by w = wo a 9 ko where wo, ko and a are constants. Determine the requirement on a > 0 such that the group speed is greater than the phase speed in this material.
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- Radiation from the sun reaching the earth has an intensity of 1.4 kW/m^2. a) What is the total power radiated by the sun? (The sun is 1.5 x 10^11 m from earth.) b) Assuming all the incident energy is absorbed, what is the force on the earth due to radiation pressure?Consider an electromagnetic wave with a maximum magnetic field strength of 7.5 × 10-4 T.Randomized VariablesB = 7.5 × 10-4 T What is the maximum electric field strength in the wave in kV/m?The following considers electromagnetic wave propagating in free-space (without charges or currents). (a) State the Maxwell's equations in terms of E and H for the free-space. (b) Should that the four equations are satisfied by: E = Eo cos (w²-t)) x Eo H = COS CHO for some constants Eo and co, where c is the speed of light in free-space. s(w (²-t))ỹ
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- An electromagnetic wave is normally incident on a flat surface. Assuming the power per unit area transmitted is S = 56.5 W/m2, and the surface is a perfect absorber, what is the radiation pressure (in nPa) on the surface? nPa Need Help? Read It the the line that through the tuA uniform transverse electromagnetic wave is propagating in the z-direction, and its magnetic field component is in the y- direction and given as By = Ho (x²+y+z2) cos(wt). The conduction current density is zero in the medium. What is the magnitude of the displacement current density in Amperes/m² at the point (x,y,z) = (1, 1, 1)? 0.17 O 0.39 0.24 O 0.31 O 0.42Suppose that the electric field amplitude of an electromagnetic wave is Eo= 120 N/C and that its frequency is ν = 50.0 MHz. (a) Determine, Bo ,ω, k, and λ. (b) Find expressions for E and B.