# Problem: The magnetic field of an electromagnetic wave in a vacuum is Bz =(3.8μT)sin((9.50×10^6)x−ωt), where x is in m and t is in s.A) What is the wave's wavelength?B) What is the wave's frequency?C) What is the wave's electric field amplitude?

###### FREE Expert Solution

Wave number, k is always given as:

$\overline{){\mathbf{k}}{\mathbf{=}}\frac{\mathbf{2}\mathbf{\pi }}{\mathbf{\lambda }}}$

Frequency:

$\overline{){\mathbf{f}}{\mathbf{=}}\frac{\mathbf{c}}{\mathbf{\lambda }}}$

A)

From the wavenumber equation, we get the wavelength of the wave as:

λ = 2π/k

###### Problem Details

The magnetic field of an electromagnetic wave in a vacuum is Bz =(3.8μT)sin((9.50×10^6)x−ωt), where x is in m and t is in s.

A) What is the wave's wavelength?

B) What is the wave's frequency?

C) What is the wave's electric field amplitude?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electromagnetic Waves as Sinusoidal Waves concept. You can view video lessons to learn Electromagnetic Waves as Sinusoidal Waves. Or if you need more Electromagnetic Waves as Sinusoidal Waves practice, you can also practice Electromagnetic Waves as Sinusoidal Waves practice problems.