A sinusoidal electromagnetic wave is propagating in 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 magnitude 3.20 V/m, what are the magnitude and direction of the magnetic field of the wave at this same point in space and instant in time?
Answer:
The magnitude of the magnetic field is [tex]B_o = 1.13 *10^{-8}T[/tex]
The direction is in the +y direction
Explanation:
From the question we are told that
The electric field is [tex]E_o = 3.40 \ V/m[/tex]
The relationship between electric and magnetic field is mathematically represented as
[tex]c = \frac{E_o}{B_o}[/tex]
Where c is the speed of light
[tex]B_o[/tex] is the magnetic field
Making [tex]B_o[/tex] the subject off the formula
[tex]B_o = \frac{E_o}{c}[/tex]
[tex]= \frac{3.40}{3*10^{8}}[/tex]
[tex]B_o = 1.13 *10^{-8}T[/tex]
Generally in an electromagnetic wave the direction of the wave propagation , the electric field and the magnetic field are perpendicular
Since from the question the direction of the electric field is +x direction and the wave propagation is in the + z direction then the magnetic field would be in the + y direction