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konstantin123 [22]

2 years ago

8

The y-component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation

ey=(375n/c)cos[kxâ(2.20Ã1014rad/s)t]. (c=3.0Ã108m/s) what is the largest that the x-component of the wave can be?

1 answer:

Marianna [84]2 years ago

6 0

Ey = 375 cos [ kx - (92.20x10^14).t ]

<span>the formula of the electric field of an electromagnetic wave : </span>
<span>=> Ey = Emax cos (k x - ω t) </span>
<span>=> Ey = Emax cos [(2π/λ) - (2π f).t ] </span>

<span>then : (2π f).t = (92.20x10^14).t </span>
<span>===> 2π f = 92.20x10^14 </span>
<span>===> f = 92.20x10^14 / 2π </span>
<span>===> f = 1.46 x 10^15 hertz </span>

<span>the speed of electromagnetic wave : c = 3 x10^8 m/s </span>

<span>then : c = f λ </span>
<span>======> λ = c / f </span>
<span>======> λ = 3 x10^8 / 1.46 x 10^15 </span>
<span>======> λ = 2.0547 x 10^-7 meters = 0.205 μm</span>

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