Funções e Equações Diferenciais Ordinárias Aplicadas em Circuitos Elétricos RLC em série com corrente contínua

Circuito de segunda ordem do tipo RLC
Circuitos contendo dois elementos de armazenamento, como indutor e capacitor, são denominados circuitos de segunda ordem, pois apresentam derivadas segundas.[br][br]Segundo Sadiku, Musa, Alexander (2014, p.277) "um circuito de segunda ordem é caracterizado por uma equação diferencial de segunda ordem. Ele é formado por resistores e o equivalente de dois elementos de armazenamento." [br][br]
Circuito RLC em série sem fonte
Compreender a resposta natural de um circuito RLC em série, sem a presença de uma fonte, é essencial para estudos futuros nas áreas de projeto de filtros e redes de comunicação.[br][br]FIG.15: Circuito RLC sem fonte[br][img]data:image/png;base64,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[/img][br]Fonte: Sadiku, Musa, Alexander (2014, p.282)[br][br]Seja o circuito em série , conforme FIG.15, excitado pela energia armazenada no capacitor e no indutor, representada pela tensão inicial [math]V_0[/math] no capacitor e pela corrente inicial [math]I_0[/math] no indutor. Portando, no instante t=0:[br][br][math]v\left(0\right)=\frac{1}{C}\int_{-\infty}^0idt=\frac{q}{C}=V_0[/math] e [math]i\left(0\right)=I_0[/math][br][br]Aplicando a LKT no circuito da FIG.15:[br][br][math]v_R+v_L+v_C=0\longleftrightarrow Ri\left(t\right)+L\frac{d\left(i\right)}{d\left(t\right)}+\frac{q\left(t\right)}{C}=0[/math] (I)[br][br]Assim, a Equação (I) pode ser expressa como[br][br]Para obter uma EDO de segunda ordem que modela o problema, utilizaremos o fato de que a corrente elétrica é a taxa de variação da carga elétrica em relação ao tempo [math]\left(i\left(t\right)=\frac{d\left(q\right)}{d\left(t\right)}\right)[/math].[br]Assim, a Equação (I) pode ser expressa como:[br][br][math]R\frac{d\left(q\right)}{d\left(t\right)}+L\frac{d^2\left(q\right)}{d\left(t\right)^2}+\frac{q\left(t\right)}{C}=0\longleftrightarrow L\frac{d^2\left(q\right)}{d\left(t\right)^2}+R\frac{d\left(q\right)}{d\left(t\right)}+\frac{1}{C}q\left(t\right)=0[/math] (II)[br][br]Assim, modelamos o problema por meio da equação (II) que é uma EDO de segunda ordem com coeficientes constantes.[br][br]Em busca de uma solução para a equação (II), deve-se observar que estamos diante de uma EDO homogênea. [br]Como vimos em circuito de primeira ordem supomos uma solução exponencial da forma [math]q\left(t\right)=Ae^{\left(st\right)}[/math]:[br][math]q'\left(t\right)=Ase^{\left(st\right)}[/math] e [math]q''\left(t\right)=As^2e^{\left(st\right)}[/math] , substituindo em (II):[br][br][math]ALs^2e^{\left(st\right)}+ARse^{\left(st\right)}+\frac{A}{C}e^{\left(st\right)}=0\longleftrightarrow Ae^{\left(st\right)}\left(Ls^2+Rs+\frac{1}{C}\right)=0[/math][br][br]Como [math]Ae^{\left(st\right)}\ne0\longrightarrow\left(Ls^2+Rs+\frac{1}{C}\right)=0[/math] uma equação quadrática conhecida como equação característica da EDO (II). Uma vez que as raízes ditam as características básicas de q(t). Temos como raízes:[br][br][math]s_1=\frac{-R+\sqrt{R^2-4\left(L\right)\left(\frac{1}{C}\right)}}{2L}=-\frac{R}{2L}+\sqrt{\frac{R^2}{\left(2L\right)^2}-\frac{4\left(L\right)\left(\frac{1}{C}\right)}{4L^2}}=-\frac{R}{2L}+\sqrt{\left(\frac{R}{2L}\right)^2-\frac{1}{LC}}[/math] e [math]s_2=-\frac{R}{2L}-\sqrt{\left(\frac{R}{2L}\right)^2-\frac{1}{LC}}[/math][br][br]De acordo com Sadiku, Musa e Alexander (2014, p. 283), uma maneira mais concisa de expressar as raízes é:[br][br][math]s_1=-\alpha+\sqrt{\alpha^2-\omega^2_0}[/math] e [math]s_2=-\alpha-\sqrt{\alpha^2-\omega^2_0}[/math] , sendo [math]\alpha=\frac{R}{2L}[/math] e [math]w_0=\frac{1}{\sqrt{LC}}[/math] [br][br]As raízes [math]s_1[/math] e [math]s_2[/math] são chamadas frequências naturais, medidas em nepers por segundo (Np/s), pois estão associadas à resposta natural do circuito. Enquanto [math]\omega_0[/math] é conhecida como frequência ressonante ou, estritamente, como a frequência natural não amortecida, expressa em radianos por segundo (rad/s), [math]\alpha[/math] é a frequência de neper ou fator de amortecimento, também expresso em Np/s. (Sadiku, Musa, Alexander (2014, p.283) [br][br]A equação [math]\left(Ls^2+Rs+\frac{1}{C}\right)=0\longleftrightarrow s^2+\frac{R}{L}s+\frac{1}{LC}=0[/math][br][br]Em termos de [math]\alpha[/math] e [math]\omega_0[/math] : [br][br][math]s^2+\frac{R}{L}s+\frac{1}{LC}=0\longleftrightarrow s^2+2\alpha s+\omega^2_0=0[/math] [br][br]As duas raízes s [math]s_1[/math] e [math]s_2[/math] indicam que existem duas soluções possíveis para [math]q\left(t\right)[/math] :[br][br][math]q_1\left(t\right)=A_1e^{\left(s_1t\right)}[/math] e [math]q_1\left(t\right)=A_2e^{\left(s2t\right)}[/math] [br][br]Uma vez que a equação (II) é linear, qualquer combinação das duas soluções distintas [math]q_1\left(t\right)[/math] e [math]q_2\left(t\right)[/math] também é solução para a equação (II). Dessa forma, temos uma solução homogênea para a EDO do circuito RLC em série, sem fonte:[br][br][math]q_h\left(t\right)=A_1e^{\left(s_1t\right)}+A_2e^{\left(s_2t\right)}[/math] [br][br]Onde [math]A_1[/math] e [math]A_2[/math] são constantes arbitrárias que podem ser determinadas a partir das condições iniciais atribuídas.[br][br]Em relação as raízes [math]s_1[/math] e [math]s_2[/math] encontradas, podemos inferir três tipos de soluções:[br][br] 1. Se [math]\alpha>\omega_0[/math], temos o caso de amortecimento supercrítico.[br] 2. Se [math]\alpha=\omega_0[/math], temos o caso de amortecimento crítico.[br]3. Se [math]\alpha<\omega_0[/math], temos o caso de subamortecimento.[br]
Caso de amortecimento supercrítico
[math]\left(\alpha>\omega_0\right)\longrightarrow R^2-\frac{4L}{C}>0[/math] , obtém-se duas soluções reais e distintas  [math]s_1[/math] e [math]s_2[/math] da Equação (III), e assim a solução homogênea é dada por : [br][br][math]q\left(t\right)=A_1e^{\left(s_1t\right)}+A_2e^{\left(s_2t\right)}\longleftrightarrow q\left(t\right)=A_1e^{\left(-\frac{R}{2L}+\sqrt{\left(\frac{R}{2L}\right)^2-\frac{1}{LC}}\right)}t+A_2e^{\left(-\frac{R}{2L}-\sqrt{\left(\frac{R}{2L}\right)^2-\frac{1}{LC}}\right)t}[/math] [br][br][math]\longleftrightarrow q\left(t\right)=A_1e^{\left(-\alpha+\sqrt{\alpha^2-\omega^2_0}\right)t}+A_2e^{\left(-\alpha-\sqrt{\alpha^2-\omega^2_0}\right)t}[/math][br][br][math]\longrightarrow\frac{d\left(q\right)}{d\left(t\right)}=i\left(t\right)=\left(-\alpha+\sqrt{\alpha^2-\omega^2_0}\right)A_1e^{\left(-\alpha+\sqrt{\alpha^2-\omega^2_0}\right)t}+\left(-\alpha-\sqrt{\alpha^2-\omega^2_0}\right)A_2e^{\left(-\alpha-\sqrt{\alpha^2-\omega^2_0}\right)t}[/math][br][br]Fonte adaptada: Sadiku, Musa, Alexander (2014, p.284)
Caso de amortecimento crítico
[br][br][math]\left(\alpha=\omega_0\right)\longrightarrow R^2-\frac{4L}{C}=0[/math], obtém-se duas soluções reais e iguais, [math]s_1=s_2=-\alpha=-\frac{R}{2L}[/math][br][br]Para esse caso a solução homogênea conduz para:[br][br][math]q\left(t\right)=A_1e^{\left(-\alpha t\right)}+A_2e^{\left(-\alpha t\right)}=e^{\left(-\alpha t\right)}\left(A_1+A_2\right)[/math] [br][br]Considerando [math]A_1+A_2=A_3[/math] identificamos que não pode ser solução, pois as duas condições iniciais não podem ser satisfeitas com a constante única [math]A_3[/math], pois seria solução de uma EDO de primeira ordem e não de segunda ordem.[br][br]Vamos analisar a EDO (II) quando [math]\alpha=\omega_0=\frac{R}{2L}[/math][br][br][math]L\frac{d^2\left(q\right)}{d\left(t\right)^2}+R\frac{d\left(q\right)}{d\left(t\right)}+\frac{1}{C}q\left(t\right)=0\longleftrightarrow\frac{d^2\left(q\right)}{d\left(t\right)^2}+\frac{R}{L}\frac{dq}{d\left(t\right)}+\frac{1}{LC}q\left(t\right)=0\longleftrightarrow\frac{d^2\left(q\right)}{d\left(t\right)^2}+2\alpha\frac{d\left(q\right)}{d\left(t\right)}+\alpha^2q\left(t\right)=0[/math] [br][br][math]\longleftrightarrow\frac{d}{d\left(t\right)}\left(\frac{d\left(q\right)}{d\left(t\right)}+\alpha q\left(t\right)\right)+\alpha\left(\frac{d\left(q\right)}{d\left(t\right)}+\alpha q\left(t\right)\right)=0[/math] , considerando [math]f\left(t\right)=\frac{d\left(q\right)}{d\left(t\right)}+\alpha q\left(t\right)[/math] :[br][br][br][math]\frac{d\left(f\right)}{d\left(t\right)}+\alpha f\left(t\right)=0[/math] que é a EDO de primeira ordem com solução [math]f\left(t\right)=A_1e^{\left(-\alpha t\right)}[/math], com [math]A_1[/math] constante.[br][br]Dessa forma, [math]f\left(t\right)[/math] corresponde a:[br][br][math]\frac{d\left(q\right)}{d\left(t\right)}+\alpha q\left(t\right)=A_1e^{\left(-\alpha t\right)}[/math] ou [math]e^{\left(\alpha t\right)}\frac{d\left(q\right)}{d\left(t\right)}+e^{\left(\alpha t\right)}\alpha q\left(t\right)=A_1\longleftrightarrow\frac{d\left(e^{\left(\alpha t\right)}q\left(t\right)\right)}{d\left(t\right)}=A_1[/math][br][br]Integrando ambos os membros:[br][br][math]\int\frac{d\left(e^{\left(\alpha t\right)}q\left(t\right)\right)}{d\left(t\right)}dt=\int A_1dt\longrightarrow e^{\left(\alpha t\right)}q\left(t\right)=A_1t+A_2\longleftrightarrow q\left(t\right)=\left(A_1t+A_2\right)e^{\left(-\alpha t\right)}[/math] , com [math]A_2[/math] constante.[br][br]Portanto, a solução homogênea corresponde a:[br][br][math]q\left(t\right)=A_2e^{\left(-\alpha t\right)}+A_1te^{\left(-\alpha t\right)}\longleftrightarrow q\left(t\right)=A_2e^{\left(-\frac{R}{2L}t\right)}+A_1te^{\left(-\frac{R}{2L}t\right)}[/math][br][br][math]\longrightarrow\frac{d\left(q\right)}{d\left(t\right)}=i\left(t\right)=-\alpha A_2e^{\left(-\alpha t\right)}+-\alpha A_1te^{\left(-\alpha t\right)}\longleftrightarrow i\left(t\right)=-\frac{R}{2L}A_2e^{\left(-\frac{R}{2L}t\right)}+-\frac{R}{2L}A_1te^{\left(-\frac{R}{2L}t\right)}[/math][br][br]A resposta natural de um circuito com amortecimento crítico é a soma de dois termos com um deles multiplicado por um fator linear.[br][br]Fonte adaptada: Sadiku, Musa, Alexander (2014, p.284)
Caso de subamortecimento
[math]\longleftrightarrow s_1=-\alpha+\sqrt{-\left(\omega_0^2-\alpha^2\right)}=-\alpha+j\omega_d[/math][math]\left(\alpha<\omega_0\right)\longrightarrow R^2-\frac{4L}{C}<0[/math] , obtém-se duas soluções complexas conjugadas , da forma:[br][br][math]s_1=-\alpha+\sqrt{-\left(\omega_0^2-\alpha^2\right)}=-\alpha+j\omega_d[/math] e [math]s_1=-\alpha-\sqrt{-\left(\omega_0^2-\alpha^2\right)}=-\alpha-j\omega_d[/math] , sendo [math]\alpha=\frac{R}{2L}[/math] a parte real e [math]\omega_d[/math] a parte imaginária.[br][br]Observe que [math]j=\sqrt{-1}[/math] e [math]\omega_d=\sqrt{w_0^2-\alpha^2}[/math][br][br][math]w_d[/math] corresponde a frequência de amortecimento, sendo tanto [math]\omega_0[/math] como [math]\omega_d[/math] frequências naturais, pois ajudam a determinar a resposta natural; [br] [math]\omega_0[/math]: frequência natural não amortecida[br][math]\omega_d[/math]: frequência natural amortecida[br][br]A solução homogênea corresponde a:[br][br][math]q\left(t\right)=A_1e^{\left(-\alpha+j\omega_d\right)t}+A_2e^{\left(-\alpha-j\omega_d\right)t}=e^{\left(-\alpha t\right)}\left(A_1e^{\left(j\omega_dt\right)}+A_2e^{\left(-j\omega_dt\right)}\right)[/math][br][br]Com as identidades de Euler: [math]e^{\left(j\theta\right)}=cos\left(\theta\right)+jsen\left(\theta\right)[/math] e [math]e^{\left(-j\theta\right)}=cos\left(\theta\right)-jsen\left(\theta\right)[/math]:[br][br][math]q\left(t\right)=e^{\left(-\alpha t\right)}\left(A_1\left(cos\left(\omega_dt\right)+jsen\left(\omega_dt\right)\right)+A_2\left(cos\left(\omega_dt\right)-jsen\left(\omega_dt\right)\right)\right)=e^{\left(-\alpha t\right)}\left[\left(A_1+A_2\right)cos\left(\omega_dt\right)+j\left(A_1-A_2\right)sen\left(\omega_dt\right)\right][/math][br][br]Considerando [math]\left(A_1+A_2\right)=B_1[/math] e [math]j\left(A_1-A_2\right)=B_2[/math] :[br][br][math]q\left(t\right)=e^{\left(-\alpha t\right)}\left(B_1cos\left(\omega_dt\right)+B_2sen\left(\omega_dt\right)\right)[/math][br][br][math]\longrightarrow\frac{d\left(q\right)}{d\left(t\right)}=i\left(t\right)=-\alpha e^{\left(-\alpha t\right)}\left(B_1cos\left(\omega_dt\right)+B_2sen\left(\omega_dt\right)\right)+e^{\left(-\alpha t\right)}\left(-\omega_dB_1sen\left(\omega_dt\right)+\omega_dB_2cos\left(\omega_dt\right)\right)[/math][br][br]Com a presença das funções seno e cosseno, fica evidente que a resposta natural para este caso é caracterizada por uma amortização exponencial e uma natureza oscilatória.    [br][br]Fonte adaptada: Sadiku, Musa, Alexander (2014, p.285)
Funções de Equações Diferenciais de segunda ordem aplicadas a circuitos RLC em série e sem fonte no GeoGebra
Vamos analisar o comportamento gráfico das funções exponenciais e trigonométricas aplicadas a carga e a corrente elétrica em relação aos casos de amortização de um circuito elétrico RLC em série e sem fonte.[br][br]Primeiramente escolha uma das opções de amortizações que constam numa lista suspensa.[br]A seguir, faça alterações nos valores reais de R (quando possível), L , C, [math]A_1[/math] e [math]A_2[/math] procurando sempre observar e analisar o comportamento gráfico das funções aplicadas a carga e a corrente elétrica. [br]Nos gráficos, procure identificar o PVI (Problema de Valor Inicial) e os valores máximos e mínimos da carga elétrica em função do tempo t[s].
Atividade proposta:
Utilizando o aplicativo do GeoGebra ou calculando as raízes características do circuito, de acordo com a FIG.16, responda: [br][br]FIG.16: Circuito RLC em série e sem 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[/img][br]Fonte: Sadiku, Musa, Alexander (2014, p.282)
1) Na FIG. 16, [math]R=40\Omega[/math] , [math]L=4H[/math] e [math]C=0,25F[/math] . A resposta natural corresponde ao caso de:
2) Na FIG. 16, [math]R=10\Omega[/math] , [math]L=5H[/math] e [math]C=2mF[/math] . A resposta natural corresponde ao caso de:
3) Na FIG. 16, [math]R=4\Omega[/math] , [math]L=8H[/math] e [math]C=2F[/math] . A resposta natural corresponde ao caso de:
Resposta a um degrau de um circuito RLC em série
A resposta a um degrau é obtida por uma aplicação repentina de uma fonte (cc). Consideramos o circuito RLC em série, conforme FIG.17. Aplicando a LKT no circuito para t>0.[br][br]Circuito RLC em série com fonte (cc)[br][img]data:image/png;base64,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[/img][br]Fonte: Sadiku, Musa, Alexander (2014, p.294)[br][br][math]L\frac{d\left(i\right)}{d\left(t\right)}+Ri+v=V_s[/math] , como [math]i=C\frac{d\left(v\right)}{d\left(t\right)}[/math]:[br][br][math]LC\frac{d^2\left(v\right)}{d\left(t\right)^2}+RC\frac{d\left(v\right)}{d\left(t\right)}+v=V_s\longleftrightarrow L\frac{d^2\left(v\right)}{d\left(t\right)^2}+R\frac{d\left(v\right)}{d\left(t\right)}+\frac{v\left(t\right)}{C}=\frac{V_s}{C}[/math] (III)[br][br][br]A solução para a EDO (III) possui duas componentes: resposta transiente [math]v_t\left(t\right)[/math] e resposta de estado estável [math]v_{ss}\left(t\right)[/math] :[br][br][math]v\left(t\right)=v_t\left(t\right)+v_{ss}\left(t\right)[/math] [br][br]Matematicamente [math]v_t\left(t\right)[/math] corresponde a solução homogênea e [math]v_{ss}\left(t\right)[/math] a solução particular e [math]v\left(t\right)[/math] a solução geral não homogênea da EDO (III).[br][br]Para resolver a EDO (III) vamos em busca da solução homogênea, [math]L\frac{d^2\left(v\right)}{d\left(t\right)^2}+R\frac{d\left(v\right)}{d\left(t\right)}+\frac{v\left(t\right)}{C}=0[/math] , que coincide com a EDO (II), apenas temos uma mudança de variável, de [math]q[/math] para [math]v[/math] . Dessa forma, já conhecemos a solução homogênea:[br][br][math]v\left(t\right)=A_1e^{\left(s_1t\right)}+A_2e^{\left(s_2t\right)}[/math] (amortecimento supercrítico)[br][br][math]v\left(t\right)=\left(A_1t+A_2\right)e^{\left(-\alpha t\right)}[/math] (amortecimento crítico)[br][br][math]v\left(t\right)=e^{\left(-\alpha t\right)}\left(B_1cos\left(\omega_dt\right)+B_2sen\left(\omega_dt\right)\right)[/math] (subamortecimento) [br][br]Vamos em busca da solução particular [math]v_{ss}\left(t\right)[/math] , utilizando o método dos coeficientes indeterminados:[br][br][math]v_{ss}\left(t\right)=k\longrightarrow\frac{d\left(v_{ss}\right)}{d\left(t\right)}=0\longrightarrow\frac{d^2\left(v_{ss}\right)}{d\left(t\right)^2}=0[/math]:[br][br][br][math]L\left(0\right)+R\left(0\right)+\frac{v_{ss}\left(t\right)}{C}=\frac{V_s}{C}\longrightarrow v_{ss}\left(t\right)=V_s[/math][br][br]Portanto:[br][br] [math]v\left(t\right)=V_s+A_1e^{\left(s_1t\right)}+A_2e^{\left(s_2t\right)}[/math](amortecimento supercrítico)[br][br][math]v\left(t\right)=V_s+\left(A_1t+A_2\right)e^{\left(-\alpha t\right)}[/math] (amortecimento crítico)[br][br][math]v\left(t\right)=V_s+e^{\left(-\alpha t\right)}\left(B_1cos\left(\omega_dt\right)+B_2sen\left(\omega_dt\right)\right)[/math] (subamortecimento) [br][br]Os valores das constantes [math]A_1[/math] e [math]A_2[/math] são obtidos pelo PVI , [math]v\left(0\right)[/math] e [math]v'\left(0\right)[/math].[br][br]Lembrando que [math]v[/math] corresponde a tensão no capacitor . Dessa forma, é possível encontrar a corrente [math]i\left(t\right)=C\frac{d\left(v\right)}{d\left(t\right)}[/math], que é corrente do capacitor, do indutor e do resistor. Portanto, a tensão no resistor e no indutor correspondem, respectivamente, a:[br][br][math]v_R=Ri[/math] e [math]v_L=L\frac{d\left(i\right)}{d\left(t\right)}[/math].[br][br]
Funções de Equações Diferenciais de segunda ordem aplicadas a circuitos RLC em série e com fonte no GeoGebra
Vamos analisar o comportamento gráfico das funções exponenciais e trigonométricas aplicadas a tensão no capacitor e a corrente elétrica no resistor, capacitor e indutor em relação aos casos de amortização de um circuito elétrico RLC em série e com fonte.[br][br]Primeiramente escolha uma das opções de amortizações que constam numa lista suspensa.[br]A seguir, faça alterações nos valores reais de R (quando possível), L , C, [math]A_1[/math] e [math]A_2[/math] procurando sempre observar e analisar o comportamento gráfico das funções aplicadas a tensão e a corrente elétrica. [br]Nos gráficos, procure identificar o PVI (Problema de Valor Inicial) e os valores máximos e mínimos da carga elétrica em função do tempo t[s].
Utilizando o aplicativo do GeoGebra desta atividade ou calculando as raízes características do circuito, responda:
1) Na FIG.18, [math]V_s=3V[/math] [math]R=3\Omega[/math] , [math]L=0,5H[/math] e [math]C=0,25F[/math] . A resposta natural corresponde ao caso de:[br][br]FIG.18: Tensão a um degrau aplicado a um Circuito RLC em 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[/img][br]Fonte: Sadiku, Musa, Alexander (2014, p.294)
2) Na FIG. 18, [math]V_s=3V[/math] [math]R=4\Omega[/math] , [math]L=1H[/math] e [math]C=0,2F[/math] . A resposta natural corresponde ao caso de:
3) Na FIG. 18, [math]V_s=4V[/math] [math]R=2\Omega[/math] , [math]L=0,5H[/math] e [math]C=0,1F[/math] . A resposta natural corresponde ao caso de:
Referências:
SADIKU, Matthew N. O; ALEXANDER, Charles K.; MUSA, Sarhan. Análise de circuitos elétricos com aplicações. AMGH Editora, 2014.
Artigo:
Silva, C. R., & Boscarioli, C. (2026). Livro digital interdisciplinar com GeoGebra: aplicações de equações diferenciais a circuitos elétricos em corrente contínua. [i]Revista Do Instituto GeoGebra Internacional De São Paulo[/i], [i]15[/i](1), 007–035. https://doi.org/10.23925/2237-9657.2026.v15i1p007-035
Cerrar

Información: Funções e Equações Diferenciais Ordinárias Aplicadas em Circuitos Elétricos RLC em série com corrente contínua