Question

What is the electric field amplitude of an electromagnetic wave whose magnetic field amplitude is 5 mT ?

Answer 1

`\begin{equation*} 1.5*10^6\text{ N/C} \end{equation*}`

Step-by-step explanation

The ratio of the electric field to the magnetic field for an electromagnetic wave is always equal to the speed of light.

This implies that:

`\begin{gathered} (E)/(B)=c \\ \\ E=cB \end{gathered}`

where c = speed of light = 300,000,000 m/s

Therefore, substitute the given values and solve for electric field amplitude, E:

`\begin{gathered} E=300,000,000*5*10^(-3) \\ \\ E=1.5*10^6\text{ N/C} \end{gathered}`

That is the answer.