Total Electric flux on two charges

AI Thread Summary
To determine the total electric flux through a spherical Gaussian surface due to two point charges, the net charge enclosed must be calculated. For part (a), with a radius of 0.500 m, only the charge q1 = 9.00 nC is enclosed, resulting in a total flux of Φ = Q/ε₀. For part (b), with a radius of 1.50 m, both charges q1 and q2 contribute to the total charge, leading to a different flux calculation. The electric field at the surface can be derived from the net charge and the application of Gauss's law. The discussion emphasizes the importance of understanding charge enclosure and the application of Gauss's theorem in calculating electric flux.
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A point charge q1 = 9.00 nC is located at the origin, and a second point charge q2 = -3.00 nC is on the x-axis at x = 1.00 m. What is the total electric flux due to these two point charges through a spherical Gaussian surface centered at the origin and with radius

(a) 0.500 m?
E = ___________N m2/C
(b) 1.50 m?
E = ___________ N m2/C


so for part a i figure out that the net electric field is 432N/C in the positive i hat direction but what is the da and what are the limits to my integral?
 
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According to Gauss theorem, total flux across a spherical surface is
Φ = Q/εο, where Q is the net charge enclosed in the given spherical surface.
 
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