Answer to Question #127628 in Electricity and Magnetism for christopher seebaran

Question

 State Maxwell’s equation for the curl of the magnetic and the electric field in free space. State the meaning of all the terms in the equations and identify the displacement current density. Using Maxwell’s equations, derive the wave equations for B. Show that the wave equations admit plane waves for the electric and magnetic fields in free space of the form 𝑬 = 𝑬𝟎𝑒 𝑖(𝑘𝑧−𝜔𝑡) , 𝑩 = 𝑩𝟎𝑒 𝑖(𝑘𝑧−𝜔𝑡) where 𝑬𝟎 and 𝑩𝟎 are constant vectors with real components if 𝑘 2 = 𝜔 2𝜇0𝜀0. Show that E and B are transverse waves propagating with speed 𝑐 = 3 × 10^8 ms-1 . 

Answer 1

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