Question

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 1

The magnitude of the magnetic field is
`B_o = 1.13 *10^(-8)T`

The direction is in the +y direction

Step-by-step explanation:

From the question we are told that

The electric field is
`E_o = 3.40 \ V/m`

The relationship between electric and magnetic field is mathematically represented as

`c = (E_o)/(B_o)`

Where c is the speed of light

`B_o` is the magnetic field

Making
`B_o` the subject off the formula

`B_o = (E_o)/(c)`

`= (3.40)/(3*10^(8))`

`B_o = 1.13 *10^(-8)T`

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