Funções Aplicadas a Potência em Circuitos Elétricos

Potência em circuitos elétricos
De acordo com Sadiku, Musa, Alexander (2014, p.61):[br]Sempre lidamos com Potência em circuitos elétricos. Em termos de corrente I e[br]tensão V, sabemos que [math]P=\frac{W}{t}[/math] , dessa forma multiplicando ambos os membros por [math]Q[/math]:[br][br](1) [math]P=\frac{WQ}{tQ}[/math] e como (2) [math]V=\frac{W}{Q}[/math] e (3) [math]I=\frac{Q}{t}[/math] , substituindo (2) e (3) em (1):[br][br](4) [math]P=VI[/math] [br]Se agora incorporarmos a lei de Ohm (V=RI), podemos expressar a Equação (4) em termos dos valores dos circuitos. Substituindo V= RI na Equação (4):[br][br](5) [math]P=\left(RI\right)I=RI^2[/math][br][br]Substituindo [math]I=\frac{V}{R}[/math] em (4):[br][br](6) [math]P=V\left(\frac{V}{R}\right)=\frac{V^2}{R}[/math][br][br]Podemos relacionar outras Equações equivalentes conhecidas como Lei de Watts, que visam encontrar a potência dissipada em um resistor. Todas relacionando os valores de I, V, P e R, conforme figura abaixo: [br][br][br]FIG.2: Relações entre I, V, P e R[br][br][br][img]data:image/png;base64,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[/img][br] Fonte: Sadiku, Musa, Alexander (2014, p.62)[br][br]Segundo Sadiku (2014, p.60) a potência é vital para empresas de energia elétrica e sistemas eletrônicos, pois envolve a transmissão de energia. Todos os dispositivos elétricos, tanto industriais quanto domésticos, possuem uma potência nominal que indica a energia necessária para seu funcionamento. Lembrando que exceder essa potência pode causar danos permanentes aos dispositivos.[br][br]No GeoGebra vamos analisar a representação gráfica de algumas funções Potência da Lei de Watt.
Das relações definidas como Lei de Watss considerando a Potência P como uma constante (nominal) vamos representar o gráfico de V em função de I com P constante e analisar alguns casos para a Tensão.
Esses são casos das equações equivalentes da Lei de Watt interpretada como funções. Obviamente existem diversas outras possibilidades.
Após analisar o comportamento gráfico, alterando os valores de P e I, para quaisquer pontos da curva (denominada hipérbole) definida pela função V, a Potência Elétrica P corresponde a seguinte relação:
O que acontece com a Tensão Elétrica [math]V\left(I\right)=\frac{P}{I}[/math] quando [math]I=0?[/math]
Referências:
SADIKU, Matthew N. O; ALEXANDER, Charles K.; MUSA, Sarhan. Análise de circuitos elétricos com aplicações. AMGH Editora, 2014.
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Information: Funções Aplicadas a Potência em Circuitos Elétricos