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| author | Benjamin Chausse <benjamin@chausse.xyz> | 2024-12-03 15:45:49 -0500 |
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| committer | Benjamin Chausse <benjamin@chausse.xyz> | 2024-12-03 15:45:49 -0500 |
| commit | 2cb23c38bf943a86505f8d51d42e7ca0d6e626c1 (patch) | |
| tree | 2766bf3f2e80ccbc31a2e06726766ef23440684d /annexe | |
| parent | 8ab0505ec26896b58415eb4d318271a760e45b3a (diff) | |
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Diffstat (limited to 'annexe')
| -rw-r--r-- | annexe/main.tex | 15 |
1 files changed, 12 insertions, 3 deletions
diff --git a/annexe/main.tex b/annexe/main.tex index f42234e..15214f3 100644 --- a/annexe/main.tex +++ b/annexe/main.tex @@ -28,6 +28,13 @@ \newcommand{\vlt}{V_L(t)} \newcommand{\vlz}{V_L(0)} +\newcommand{\e}{\mathrm{e}} +\newcommand{\al}{\alpha} +\newcommand{\la}{\lambda} +\newcommand{\wz}{\omega_{0}} +\newcommand{\ws}{\omega_{0}^2} +\newcommand{\wn}{\omega_{\mathrm{n}}} + \DeclareSIPrefix{\micro}{% \text{% @@ -62,9 +69,11 @@ \subsection{Décharge} \begin{align} - 0 & = \vlt + V_C(t) + V_R(t) \\ - 0 & = \vlt+\frac{1}{C}\int I_(t)\dt + R_I(t) \\ - 0 & = \ddt{2} \vlt + 0 & = \vlt + V_C(t) + V_R(t) \\ + 0 & = \vlt+\frac{1}{C}\int I_(t)\dt + R_I(t) \\ + 0 & = \ddt{2}\left[ \vlt + \frac{1}{LC}\int\int\vlt\dt^2 + \frac{R}{L}\ddt{} \vlt \right] \\ + 0 & = \ddt{2}\vlt+ \frac{R}{L}\ddt{}\vlt +\frac{1}{LC}\vlt \\ + 0 & = \ddt{2}+2\al\la A\e \end{align} \end{appendix} |