Question
The magnetic field in a radio wave traveling through air has amplitude $2.5 \times 10^{-11} \mathrm{T}$ and frequency $3.0 \mathrm{MHz}$. (a) Find the amplitude and frequency of the electric field. (b) The wave is traveling in the $-y$ -direction. At $y=0$ and $t=0$, the magnetic field is $1.5 \times 10^{-11} \mathrm{T}$ in the $+z$ -direction. What are the magnitude and direction of the electric field at $y=0$ and $t=0 ?$
Step 1
Substituting the given values, we get $E_{m} = (3.0 \times 10^{8} \, \mathrm{m/s}) \times (2.5 \times 10^{-11} \, \mathrm{T}) = 7.5 \times 10^{-3} \, \mathrm{V/m}$. Show more…
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