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tearstreakdl

2022-01-10

Determine the current flowing through a circuit element if the charge flow is given by: $q(t)=10{e}^{-4t}\mathrm{cos}50t$

Jenny Sheppard

Beginner2022-01-11Added 35 answers

$q(t)=10{e}^{-4t}\mathrm{cos}50t\phantom{\rule{0ex}{0ex}}i=\frac{d}{dt}10{e}^{-4t}\mathrm{cos}50t$ $=10[{e}^{-4t}(-4)\mathrm{cos}50t+{e}^{-4t}(\mathrm{sin}50t\times 50)]$ $=10[-4{e}^{-4t}\mathrm{cos}50t-50{e}^{-4t}\mathrm{sin}50t]$ $=-40{e}^{-4t}[\mathrm{cos}50t+12.5\mathrm{sin}50t]$

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