A plane monochromatic electromagnetic wave with wavelength ? = 5.8 cm, propagate

ID: 2301209 • Letter: A

Question

A plane monochromatic electromagnetic wave with wavelength ? = 5.8 cm, propagates through a vacuum. Its magnetic field is described by;

where Bx = 1.6 X 10-6 T, By = 4.4 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

1)What is f, the frequency of this wave?

But from here on I am completly stuck. So please explain in your solution what exactly I am looking for/at

2)What is I, the intensity of this wave?

______ W/m2

3)What is Sz, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0?

_____ W/m2

4)What is Ex, the x-component of the electric field at (x = 0, y = 0, z = 0) at t = 0?

_____ V/m

1) frequency f = c/lAMDA= 3*10^8/0.058 = 51.72 = 52 Hz...

2) intentity I = (c/uo)*B^2= (3*10^8/4*pi*10^-7)*(Bx^2+By^2) = 52.32*10^-12 W/m^2..

first we will 4) and next 3)...

4) c = E/B = .....
E = c*B = 3*10^8*sqrt(Bx^2+By^2) = 1404.56 V/m

Ex = c*Bx = 3*10^8*1.6*10^-6 = 4.8*100 = 480 V/m....

now 3) Sz = (E*B)/(mu_o) = 1404.56*sqrt(Bx^2+By^2)/(4*pi*10^-7) = 5232.34 W/m^2

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