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% File: Lista1.tex                                    |
% Last version by: J.A.Apolinario Jr.                 |
% Latex da 1a. lista de Exercício CIRCUITOS I         |
% (um exercício resolvido e um proposto)              |
% Last update: Jan 31, 2008                           |
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\pagestyle{myheadings} \markright{\underline{(... continua\c{c}\~ao
da Lista de Circuitos Elétricos I)\hspace{7.2cm}}}
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\begin{document}
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\selectlanguage{brazil}
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\title{\bf IME - Seção de Engenharia El\'etrica ({\bf SE/3})\vspace*{.5cm}\\
        \small{1$^{\text{\bf {\underline a}}}$ Lista de CIRCUITOS ELÉTRICOS I
        \\ (devolução em duas semanas)
        \vspace*{-0.5cm}}}
\author{\tiny Prof. J. A. Apolinário Jr.}

\date{}
\maketitle

\vspace{-0.1pc}

{\bf 1$^{\text{\bf \underline{o}}}$ Semestre 2008  \hfill Nome
do aluno:} {\underline {\hspace{3in}}}

\vspace{0.75cm}

\vspace{0.75cm}

%--------------------------------
\section*{Problema 1 [0,0/10,0]:}
%--------------------------------
Determine $v(t), t>0$ para o circuito da figura da letra (a) abaixo quando
$i_L(0)=0$ e $i_s(t)$ é como indicado na figura da letra (b) {\em(problema
P 7.5-6 do livro "Introduction to Electric Circuits", R. Dorf e J. Svoboda,
pag. 296, 7a. edição)}.


\vspace{0.75cm}

\psfrag{v}{$v$}
\centerline{\epsfig{figure=figlista1.eps,width=7cm}}

\vspace{0.75cm}

{\footnotesize {\color{red} \vspace*{0.5cm} {\bf SOLUÇÃO:} 

Note que a $i_S=i_L$, ou seja, a corrente da fonte é a mesma (única) que
passa pelos componentes. Chamemos de $v_L$ a tensão no indutor e de $v_R$
a tensão no resistor. Logo, a tensão $v(t)$ é a soma de $v_L(t)$ com $v_R(t)$.

\begin{itemize}
    \item[(a)] $v(t) = v_L(t) + v_R(t)$
    \item[(b)] $v_L = L \frac{d i_S}{dt}$
    \item[(c)] $v_R = R i_S$
    \item[(d)] $\therefore v(t) = L \frac{d i_S(t)}{dt} + R i_S(t)$
\end{itemize}

Ao efetuar os cálculos, obtemos os resultados mostrados na figura que segue.

\clearpage
\newpage

\centerline{\epsfig{figure=figP1lista1.eps,height=12cm}}

{\tiny Obs: Verifiquemos agora o programa .m (em Matlab) que gerou a figura anterior.}
}

\vspace*{2cm}

%--------------------------------
\section*{Problema 2 [5,0/10,0]:}
%--------------------------------
Resolve o problema 1.10 da pág. 38 do livro texto (2a. edição).            
            
\vspace*{2cm}

%--------------------------------
\section*{Problema 3 [5,0/10,0]:}
%--------------------------------
Entregar a solução em \LaTeX.

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\end{document}
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