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UBA - CienciaS • Ver Tema - Cargas sup en esferas conductoras con dielectrico adentro
UBACS Q&A Foro WikiCS
Fecha actual 27 Abr 2024, 14:52

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 Asunto: Cargas sup en esferas conductoras con dielectrico adentro
NotaPublicado: 05 May 2009, 19:27 
Estudiante

Registrado: 30 Jul 2008, 15:13
Mensajes: 26
Esto es para probar que si hay una esfera conductora de radio A un dielectrico (lineal o electrete) que va de en la dirección radial de A hasta B y otro conductor esferico con espesor despreciable pero no nulo en C (direccion radial tmb), entonces la carga de la interior y la carga de la superficie interna de la exterior son iguales y de signo opuesto. Abajo adjunto un dibujo y todo se entiende mejor, y lo que sigue es lo que hay q hacer para probarlo: (A<B<C)
1) Por simetria: (en r versor, no se como escribi eso)

2) Gauss para dielectricos tomando una superficie que este adentro del conductor de afuera (se ve bien en el dibujo, es la roja):



Donde es la carga de la esfera interior
es la carga de la superficie interna de la esfera exterior

Dentro del condutor:


Adjuntos:
Gauss.JPG
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Última edición por Martin el 05 May 2009, 19:36, editado 2 veces en total
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 Asunto: Re: Cargas sup en esferas conductoras con dielectrico adentro
NotaPublicado: 05 May 2009, 19:33 
Doctor
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Registrado: 09 Ago 2008, 19:30
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claro, buenísimo!



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