Expert Answer to "Determine the current flowing through a circuit element..." - Plainmath

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tearstreakdl

Answered question

2022-01-10

Determine the current flowing through a circuit element if the charge flow is given by:

q (t) = 10 e^{- 4 t} \cos 50 t

Answer & Explanation

Jenny Sheppard

Beginner2022-01-11Added 35 answers

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

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