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+++ b/Chapter1.tex @@ -235,8 +235,14 @@ \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} \ No newline at end of file