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Sati [7]
4 years ago
14

Considere un campo vectorial U que apunta radialmente hacia afuera de un punto P. La magnitud del campo en un punto Q una distan

cia r del punto P es a K donde K es una constante positiva. Calcule el flujo de este campo vectorial a través de una superficie esférica de radio R centrada en el punto P
Physics
1 answer:
GenaCL600 [577]4 years ago
8 0

Answer:

El flujo del campo U a través de dicha superficie es \Phi_U=4\pi r^2K

Explanation:

El flujo vectorial de un campo U a través de una superficie S está dado por

\Phi_U=\int_S \vec{U} \cdot \hat{n} \ dS

donde \hat{n} representa el vector unitario normal a la superficie. Teniendo en cuenta que el campo se encuentra en dirección radial, se tiene

\Phi_U=\int_S K\hat{r} \cdot \hat{r} \ dS = K\int_S dS = KS=K*4\pi r^2

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