Justin Long edited subsection_Amplitude_of_Gravitional_Waves__.tex  over 8 years ago

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where $F$ represents electromagnetic energy in gauss, $R_{0}$ represents the distance from the EM source in meters, and $T$ is the time allotted for gravitational radiation in years.  Because we know Gertsenshtein's equation yields an amplitude, we can use a Fourier Transform to calculate the frequency of gravitational waves. For a practical reference, we use known EM measurements of an electric clock (Duke Energy, 2013) to calculate the amplitude and frequency of a gravitational wave. When an electric clock is measured at 0.3048 meters (1 ft), the strength of its EM field is 15.5 gauss. Calculating for $T = 0.00011408$, we find that the amplitude of the gravitational waves of an electric clock are  \begin{equation}  \frac{a(x)}{b} = 8.11596*10^{-20} \sqrt{\frac{\text{Newton} \text{Second}^3} {\text{Kilogram}^2 \text{Meter}}},  \end{equation}  and when applying a Fourier Transform to calculate the frequency of the gravitational waves we get  \begin{equation}  \int_{-\infty}^{\infty} \frac{a(x)}{b} e^{- 2\pi i x \xi} dx = 7.59863*10^{-18} \sqrt{Hz},  \end{equation}  [put calculations here]