# Problem: A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. If at a particular instant and at a certain point in space the electric field is in the +x-direction and has a magnitude of 3.40V/m, what is the magnitude of the magnetic field of the wave at this same point in space and instant in time?

###### FREE Expert Solution

Speed of light:

$\overline{){\mathbf{c}}{\mathbf{=}}\frac{\mathbf{E}}{\mathbf{B}}}$

c = 3.0 × 108 m/s

###### Problem Details

A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. If at a particular instant and at a certain point in space the electric field is in the +x-direction and has a magnitude of 3.40V/m, what is the magnitude of the magnetic field of the wave at this same point in space and instant in time?

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.