Need help with a-d. The electric field in an clcctromagnctic wave is in the y-di

Question

Need help with a-d.

The electric field in an clcctromagnctic wave is in the y-dircction and described by E_y = e_0Cos(kx - cot), where E_0 = 425 N/C. If the clcctromagnctic wave is traveling in the x-direction in vacuum, what is the direction of the magnetic field? Express the amplitude of the magnetic field, B_0, in terms of E_0 and the speed of light c. Find the intensity of the clcctromagnctic wave, I, in terms of E_0, c, and the vacuum susceptibility &mu0.; Solve for the numerical value of/in watts per square meter.

Explanation / Answer

part a )

in z direction , electromagnetic waves and magnetic field are perpendicular to each other .

X x Y = z

part b )

Bo = Eo/c

part c )

I = c*eo*Eo^2

part d )

Eo = 425 N/C

I = 479.56 W/m^2

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