The electric component of a beam of polarized light is

Ey = (5.00 V/m) sin[(1.12 Ã 106 m-1)z + ?t].

(a) Write an expression for the magnetic field component of thewave, including a value for ?. What are the (b) wavelength, (c)period, and (d) intensity of this light? (e) Parallel to which axisdoes the magnetic field oscillate? (f) In which region of theelectromagnetic spectrum is this wave?

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The electric component of a beam of polarized light is

Ey = (5.20 V/m) sin[(1.15 Ã 10^-6 m-1)z + ?t].

(a) Write an expression for the magnetic field component of thewave, including a value for ?. What are the (b) wavelength, (c)period, and (d) intensity of this light? (e) Parallel to which axisdoes the magnetic field oscillate? (f) In which region of theelectromagnetic spectrum is this wave?

A plane electromagnetic wave traveling in the positive direction ofan x axis in vacuum has components Ex = Ey = 0 and Ez = (5.0 V/m)cos[(p Ã 1015 s-1)(t - x/c)].(a) What is the amplitude of themagnetic field component? (b) Parallel to which axis does themagnetic field oscillate (enter 1 for x axis, 2 for y axis and 3for z axis)? (c) When the electric field component is in thepositive direction of the z axis at a certain point P, what is thedirection of the magnetic field component there (enter 1 for xaxis, 2 for y axis and 3 for z axis. For opposite direction useminus sign)? Assume that the speed of light is 2.998*108 m/s.

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 Ampereâs 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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