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Question:

An EM wave is travelling in a medium with a velocity v=v^i. Draw a sketch showing the propagation of the EM wave, indicating the direction of the oscillating electric and magnetic fields. How are the magnitudes of the electric and magnetic fields related to the velocity of the EM wave?

Solution:

(a) Given: Velocity → V = v^i and electric field E along the X-axis and a magnetic field B along the Z-axis. The propagation of the EM wave is given by: [A sketch should be included here showing the EM wave propagating in the i direction (along the x-axis), with the electric field oscillating along the x-axis and the magnetic field oscillating along the z-axis. The electric and magnetic fields should be shown as sinusoidal waves perpendicular to each other and to the direction of propagation]. (b) Speed of EM wave can be given as the ratio of the magnitude of the electric field (E0) to the magnitude of the magnetic field (B0): c = E0/B0