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AP® Physics C: E & M

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Net Flux: Sphere

APPHEM-4YMGWI

A spherical surface S is centered on a single point charge Q. The net flux of electric field through S is $\Phi$.

If r represents the radius of S, and C is a constant, which of the following correctly represents the relationship between the net flux of electric field and the radius of the sphere?

A

$\Phi = \dfrac{C}{r^2}$

B

$\Phi = \dfrac{C}{r}$

C

$\Phi = C$

D

$\Phi = C\,r$

E

$\Phi = C\,r^2$