Electromagnetic Waves as Sinusoidal Waves Video Lessons

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Problem: The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375 V/m) cos [(1.99 × 107 rad/m)x + (5.97 × 1015 rad/s)t]. (a) What is the speed of the wave? (b) What are the amplitudes of the electric and magnetic fields of this wave? (c) What are the frequency, wavelength, and period of the wave? Is this light visible to humans?

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For the given electric field equation, the electromagnetic wave is traveling in the negative x-direction.

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Problem Details

The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375 V/m) cos [(1.99 × 107 rad/m)x + (5.97 × 1015 rad/s)t]. 

(a) What is the speed of the wave? 

(b) What are the amplitudes of the electric and magnetic fields of this wave? 

(c) What are the frequency, wavelength, and period of the wave? Is this light visible to humans?

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