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    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/03%3A_Transmission_Lines/3.20%3A_Power_Flow_on_Transmission_Lines
      We may express the associated potential and current as follows: v+(z,t)=|V+0|cos(ωtβz+ϕ) \[i^+(z,t) = \frac{\left|V_0^+\right|}{Z_0}\cos\lef...We may express the associated potential and current as follows: v+(z,t)=|V+0|cos(ωtβz+ϕ) i+(z,t)=|V+0|Z0cos(ωtβz+ϕ) And so the associated time-average power is \[\begin{equation}\begin{split} P_{av}^+(z) &= \frac{1}{T}\int_0^T{ v^+(z,t)~i^+(z,t)~dt } \\ &= \frac{\left|V_0^+\right|^2}{Z_0} \cdot \frac{1}{T}\int_0^T{ \cos^2\left(\omega t -\beta z +\phi\right) ~dt } \en…
    • https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/03%3A_Transmission_Lines/3.20%3A_Power_Flow_on_Transmission_Lines
      (unable to fetch text document from uri [status: 403 (Forbidden)])

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