Lei de Gauss da Eletricidade - Minerva.ufpel.tche.br
Lei de Gauss da Eletricidade - Minerva.ufpel.tche.br
Lei de Gauss da Eletricidade - Minerva.ufpel.tche.br
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Para uma gaussiana esférica:<<strong>br</strong> />
r r<<strong>br</strong> />
E ⋅ dA<<strong>br</strong> />
EdAcosφ<<strong>br</strong> />
EdA=<<strong>br</strong> />
∫ ∫<<strong>br</strong> />
( 2<<strong>br</strong> />
E 4πR<<strong>br</strong> />
)<<strong>br</strong> />
1<<strong>br</strong> />
4πε<<strong>br</strong> />
⎞<<strong>br</strong> />
( 2<<strong>br</strong> />
⎟ 4πR<<strong>br</strong> />
),<<strong>br</strong> />
⎠<<strong>br</strong> />
Fluxo elétrico através <strong>de</strong> uma esfera centra<strong>da</strong><<strong>br</strong> />
so<strong>br</strong>e uma carga pontual q.<<strong>br</strong> />
Φ<<strong>br</strong> />
E<<strong>br</strong> />
=<<strong>br</strong> />
=<<strong>br</strong> />
=<<strong>br</strong> />
=<<strong>br</strong> />
=<<strong>br</strong> />
∫<<strong>br</strong> />
∫<<strong>br</strong> />
⎛<<strong>br</strong> />
⎜<<strong>br</strong> />
⎝<<strong>br</strong> />
0<<strong>br</strong> />
Φ<<strong>br</strong> />
E =<<strong>br</strong> />
E<<strong>br</strong> />
q<<strong>br</strong> />
R<<strong>br</strong> />
Prof. Rudi Gaelzer – IFM/UFPel (Física Básica III )<<strong>br</strong> />
2<<strong>br</strong> />
q<<strong>br</strong> />
ε 0<<strong>br</strong> />
dA
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