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| author | Sarah Gosselin <sarah@gosselin.xyz> | 2024-12-03 15:48:46 -0500 |
|---|---|---|
| committer | Sarah Gosselin <sarah@gosselin.xyz> | 2024-12-03 15:48:46 -0500 |
| commit | c2b606812a374ab8cb0059b1e81f8a255ba32610 (patch) | |
| tree | 9b32b7db216bdf2af4c2cf251c9dcc347399ad1b | |
| parent | 26848e291e759fb8f7c018bc2f40c5d61181c8db (diff) | |
| parent | 2cb23c38bf943a86505f8d51d42e7ca0d6e626c1 (diff) | |
Merge branch 'master' of chausse.xyz:s1-app6
| -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 dab3381..645b6e1 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{% @@ -75,9 +82,11 @@ \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} |