Electromagnetic Waves as Sinusoidal Waves Video Lessons

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Problem: In SI units, the electric field in an electromagnetic wave is described by Ey = 102 sin(1.40 107x − ωt).(a) Find the amplitude of the corresponding magnetic field oscillations.(b) Find the wavelength λ.(c) Find the frequency f.

FREE Expert Solution

The form of a plane wave solution for an electric field is:

E=E0sin(kx-ωt)

ω is the angular frequency and t is the time for the oscillations.

The electromagnetic wave described above is Ey = 102 sin(1.40 107x − ωt)

(a)

The amplitude of the corresponding magnetic field is expressed as:

B0=E0c, where E0 is the amplitude of electric field and c is the speed of electromagnetic wave given as 3.0 × 108 m/s.

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Problem Details

In SI units, the electric field in an electromagnetic wave is described by Ey = 102 sin(1.40 107x − ωt).

(a) Find the amplitude of the corresponding magnetic field oscillations.

(b) Find the wavelength λ.

(c) Find the frequency f.

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