Four Dipoles, Each Consisting of a +10-µC Charge and a -10-µC

Four dipoles, each consisting of a +10-µC charge and a -10-µC charge, are located in the xy-plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux through the sphere due to these dipoles? (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

A) 4.5 × 10⁶ N ∙ m²/C
B) 0.00 N ∙ m²/C
C) 9.0 × 10⁶ N ∙ m²/C
D) 11 × 10⁵ N ∙ m²/C

Correct Answer:

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