Question

The magnetic field of a plane-polarized electromagnetic wave moving in the z-direction is given by in SI units. What is the frequency of the wave

Answer 1

Complete Question

The magnetic field of a plane-polarized electromagnetic wave moving in the z-direction is given by

`B=1.2* 10^(-6) sin [2\pi[((z)/(240) ) - ( (t * 10^7)/(8) ) ] ]` in SI units.

Answer:

The value is
`f = 1.98918*10^(5)\ Hz`

Step-by-step explanation:

From the question we are told that

The magnetic field is
`B=1.2* 10^(-6) sin [2\pi[((z)/(240) ) - ( (t * 10^7)/(8) ) ] ]`

This above equation can be modeled as

`B=1.2* 10^(-6) sin [2\pi[((z)/(240) ) - ( (t * 10^7)/(8) ) ] ] \equiv A sin ( kz -wt )`

So

`w = (10^7)/(8)`

Generally the frequency is mathematically represented as

`f = (w)/(2 \pi)`

=>
`f = ( (10^7)/(8) )/(2 \pi)`

=>
`f = 1.98918*10^(5)\ Hz`