Esta atividade faz parte do Livro Digital que trata das Funções e Equações Diferenciais de primeira e segunda ordem modeladas e aplicadas, respectivamente, em circuitos elétricos (cc).[br][br]Nele temos a definição das Equações Diferenciais de segunda ordem modeladas por circuitos RLC em série:[br]https://www.geogebra.org/m/tuz9c8cd[br][br]Nesta atividade a proposta é analisar o comportamento gráfico das funções exponenciais e trigonométricas aplicadas a tensão no capacitor e a corrente elétrica em relação aos casos de amortização de um circuito elétrico RLC em série e com fonte, mais conhecido como resposta a um degrau.[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 tensão em função do tempo t[s].
1) Na FIG. 1, [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.1: Tensão a um degrau aplicado a um Circuito RLC em série[br][img]data:image/png;base64,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[/img][br]Fonte: Sadiku, Musa, Alexander (2014, p.294)
2) Na FIG. 1, [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. 1, [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:
SILVA, Carlos Roberto; BOSCARIOLI, Clodis. Livro digital interdisciplinar com GeoGebra: aplicações de equações diferenciais a circuitos elétricos em corrente contínua. Revista do Instituto GeoGebra Internacional de São Paulo, [i][S. l.][/i], v. 15, n. 1, p. 007–035, 2026. DOI: 10.23925/2237-9657.2026.v15i1p007-035. Disponível em: https://revistas.pucsp.br/index.php/IGISP/article/view/70700. Acesso em: 13 jul. 2026.