Elementos de um Espelho Esférico

[justify][b][u][/u][/b][/justify][size=150][justify][b][u]ESPELHOS ESFÉRICOS[/u][/b][/justify][justify]São sistemas ópticos formados com base em [b]calotas[/b] [b]polidas[/b] [b]e refletoras[/b], capazes de refletir a  luz em diferentes ângulos, produzindo, dessa forma, imagens que podem tanto ser reais como virtuais. [/justify][justify]Existem dois tipos de espelhos esféricos: os [b]espelhos[/b] [b]côncavos[/b] e os [b]espelhos[/b] [b]convexos.[br][/b][/justify][b][u]ELEMENTOS GEOMÉTRICOS DE UM ESPELHO ESFÉRICO[/u][/b][/size][br][br][img]data:image/png;base64,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[/img][br][br][br][size=150][b]1)    [/b][b]Vértice (V) [br]M[/b]arca a região central dos espelhos esféricos. [br][b]Proppriedade: [/b] Qualquer [b]raio de luz[/b] que incida sobre o vértice de um espelho esférico é [b]refletido com o mesmo ângulo de incidência[/b], [br][br] [b]2)    [/b][b]Centro de curvatura (C): [br]É[/b] o [b]ponto[/b] [b]médio[/b] da calota esférica que dá origem ao espelho. ( igual ao centro do [b]raio[/b] dessa[br]esfera).[br]Propriedade: Qualquer raio de luz que incida sobre o centro de curvatura de um espelho esférico deve ser [b]refletido sobre si mesmo[/b], de modo que os raios de luz incidente e refletido[br]percorram o mesmo caminho.[br][br][b]3) [/b][b]Raio de curvatura (R):[br] É [/b]a distância entre o [b]vértice[/b] do espelho e o seu [b]centro de[/b] [b]curvatura,[/b] é denotado pela letra R e é comumente medido em metros.[br][br][b]4) [/b][b]Foco (F): [br]É [/b]o ponto em que raios de luz paralelos [b]convergem[/b] após serem refletidos por um [b]espelho[/b] [b]côncavo.[/b] [br]No caso dos espelhos [b]convexos[/b], os raios de luz refletidos [b]divergem[/b] de sua superfície e, por isso, são os [b]prolongamentos dos raios de luz[/b] que se cruzam, em um ponto localizado “atrás” da superfície desses espelhos.[br]Por esse motivo, dizemos que:[br].> o [b]foco[/b] dos espelhos convexos é [b]virtual[/b], enquanto [br]> o [b]foco[/b] dos espelhos côncavos é[b] real.[br][/b]Portanto:[br]a) Espelho Côncavo possui [b]foco real de sinal positivo , a frente do espelho[/b][br]b) Espelho Convexo possui [b]foco virtual, sinal negativo, atrás do espelho[br][br][/b][b]5) Distância focal (f):[br] [/b]Indica a posição do foco em relação ao vértice dos espelhos esféricos.Propriedade: R[b]aios [/b][b]de luz paralelos[/b] que incidem sobre espelhos côncavos são [b]refletidos sobre o ponto focal.[/b] [br]No caso dos espelhos convexos, são os prolongamentos dos raios de luz que se cruzam em seu foco, localizado atrás do espelho, chamado de[b] foco virtual[/b].[br][b]6)    [/b][b]Ângulo de abertura: [br]M[/b]ede o[b] grau [/b][b]de[/b] [b]curvatura[/b] do espelho. Esse ângulo é medido a partir do eixo de simetria dos espelhos esféricos. Quanto maior for o ângulo de abertura, mais o espelho assemelha-se a um espelho plano.[br][br][/size][b][size=150]PROPRIEDADES DOS RAIOS INCIDENTES NOS ESPELHOS ESFÉRICOS DE GAUSS[/size][/b][br][br] 1)  Todo raio de luz que incide no espelho, paralelamente ao eixo principal é refletido passando pelo foco.[br][br]2)   Todo raio de luz que incide no espelho, passando pelo foco, é refletido paralelamente ao eixo principal.[br][br]3)   Todo raio de luz que incide no espelho, passando pelo centro de curvatura, reflete-se e volta sobre si mesmo.[br][br]4)   Todo raio de luz que incide no vértice espelho, é refletido simetricamente em relação ao eixo principal.[br][size=150][br][/size][size=150][br][br] [br][br][/size][br][br][br][b] [/b][br][br][br][br][br]

Information: Elementos de um Espelho Esférico