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Question

A plane electromagnetic wave travels in vacuum along z-direction. What can you say about the directions of its electric and magnetic field vectors? If the frequency of the wave is 30 MHz, what is its wavelength?

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Solution

It is given that a plane electromagnetic wave travels in vacuum along z-direction and the frequency of the electromagnetic wave is 30MHz.

We can say that electric field and magnetic field will be in x-plane because the electromagnetic wave travels along the z-direction and both fields are mutually perpendicular to each other.

The formula of the wavelength of a wave is,

λ=c/ν

Substitute the values in the above expression,

λ=(3×108)/(30×106)=10m.

Thus, the value of wavelength is 10 m and the direction of electric and magnetic fields will be in x-y plane.


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