Question

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?

Answer 1

`1.13*10^(-8) T`

Step-by-step explanation:

`E_(o)` = magnitude of electric field at the point in space = 3.40 Vm⁻¹

`B_(o)` = magnitude of magnetic field at the point in space = ?

`c` = speed of electromagnetic wave in vacuum = 3 x 10⁸ ms⁻¹

Magnitudes of electric and magnetic field are related to each other as

`c B_(o) = E_(o)\\B_(o) = (E_(o))/(c) \\B_(o) = (3.40)/((3 *10^(8) ))\\B_(o) = 1.13*10^(-8) T`