Electricity and Magnetism Please show your work Problem conc

Electricity and Magnetism

Please show your work

Problem (conceptual Consider the electric field of a plane electromagnetic wave traveling with speed vin vacuum i (k r-at) Which Maxwell\'s equation(s) OE OB requires that BLk, that is the magnetic field oscillates in a direction perpendicular to the direction of wave travel? In the equations, p is the total charge density and J is the total current density. All other symbols retain their usual meaning. A) Only (I) B) only (II) C) Only (III) D) only (IV) E) Both (III) and (IV) Atta-Fynn PHYS 4324 Advanced E & M UT Arlington

Solution

Option B is correct

The divergence of the field is zero

Indicates that the magnetic field component in the direction of the wave propagation is constant.

OR B is perpendicular to K