Shown below are pictorial and mathematical representations of an electromagnetic

Question

Shown below are pictorial and mathematical representations of an electromagnetic plane wave propagating through empty space. The electric field is parallel to the z-axis; the magnetic field is parallel to the y-axis. The points 1-4 in the diagram above lie in the x-z plane. For the instant shown, rank the magnitude of the electric field at these points from largest to smallest. If the electric field is zero at any point, state that explicitly. Is your ranking consistent with the mathematical expression for the electric field shown above? If not, resolve any inconsistencies. (For example, how, if at all, does changing the value of z affect the value of E rightarrow (x, y, z, t)?) For the instant shown, rank the magnitude of the magnetic field at points 1-4 from largest to smallest. Check that your ranking is consistent with the expression for the magnetic field, B rightarrow (x, y, z, t), above.

Explanation / Answer

ITEM#2: {Ranking Of Electric FieldMagnitude} ----> { 1 = 2 >3 = 4 } {Ranking Of Magnetic Field Magnitude} ----> { 1 = 2 > 3 = 4 } {Changing "z" value willNOT change magnitude of either electric or magnetic field at that point because this is a plane wave (assumed to have infinite extent and constant value in the +/- "z" direction).} .

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