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23 Nov 2019

2. A sheet of current lies in the xz plane as shown. A surfacecurrent K is applied along the z axis which alternates sinusoidallyat a frequency f. i.e. K=K0sin(2(pi)ft)


Consider regions close to the surface where the plane of currentappears of infinite extent. Plane electromagnetic waves travel awayfrom the sheet in both the positive and negative ydirections.

(a) In what axis will be the electric field vector?

(b) In what axis will be the magnetic field vector?

(c) Write down an expression for the electric field component ofthe wave travelling in the positive y direction. Use Ampere’s Lawto make an estimate for the magnitude of the wave. Consider thesigns of the waves.

(d) Write down an expression for the magnetic field component ofthe wave travelling in the opposite direction.

(e) Consider the wave travelling in the positive y direction. Whatis the Poynting vector for this wave? What is the intensity of thiswave?

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