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Added 1.18
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milesdai committed May 29, 2018
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\end{circuit}

Now we have a simple RC circuit which we can apply Equation 1.21 to. The voltage across the capacitor is given by
\[V(t) = V_\text{final}(1 - e^{-t/RC}) = V_\Th (1 - e^{-t/R_\Th C} = \frac{1}{2}V_\in (1 - e^{-t\times 10^{-3}})\]
\[V(t) = V_\text{final}(1 - e^{-t/RC}) = V_\Th (1 - e^{-t/R_\Th C} = \mans{\frac{1}{2}V_\in (1 - e^{-t\times 10^{-3}})}\]

\todo{Add graph}


\ex{1.18}
From the capacitor equation in the previous paragraph, we have
\[V(t) = (I/C)t = (1 \m\A/1\u\F)t = 10\V\]
This gives us
\[\mans{t = 0.01\text{s}}\]

\end{document}

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