Mathematics, 06.09.2019 20:20 jenna34032
The current in a circuit element is i(t) = 3(1 - e-2t) a when t ≥ 0 and i(t) = 0 when t < 0. the total charge that has entered the circuit element for t ≥ 0 can be represented as q left-parenthesis t right-parenthesis equals upper a plus upper b t plus upper c e superscript negative a t coulomb, where a, b, c and a are real constants. determine the values of a, b, c and a.
Answers: 1
, 
when t<0 and using the definition of charge
then when t>0![i(t)=3\int_0^t \left[ \int_0^tdt'-\inte_0^t e^{-2t'}dt' \right]dt'=3\left[ t+\frac{1}{2}\left( e^{-2t}-1 \right) \right]=3t+\frac{3}{2}e^{-2t}-\frac{3}{2}\,\, C](/tpl/images/0224/6454/089d7.png)
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The current in a circuit element is i(t) = 3(1 - e-2t) a when t ≥ 0 and i(t) = 0 when t < 0. the...
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