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

Question

Quizplus · Accepted Answer

Since the sphere encloses all four dipoles, the net charge enclosed is zero. Therefore, by Gauss's law, the electric flux through the sphere due to the dipoles is also zero. Choice B is incorrect because it implies that there is some electric flux through the sphere, which is not the case. Choice C and D are also incorrect because they give nonzero values for the electric flux, which is not possible due to the reasons stated above. Therefore, the best choice is A, which correctly identifies that the electric flux through the sphere is zero.

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