A charge of 1.0 × 10^-6 μC is located inside a sphere, 1.25 cm from its center. What is the electric flux through the sphere due to this charge? (ε0 = 8.85 × 10^-12 C²/N ∙ m²) A) 0.11 N ∙ m²/C B) 8.9 N ∙ m²/C C) 0.028π N ∙ m²/C D) It cannot be determined without knowing the radius of the sphere.

Question

Quizplus · Accepted Answer

Gauss's law states that the electric flux through a closed surface is proportional to the charge enclosed by the surface. In this case, the charge is located inside the sphere, so the electric flux through the sphere is proportional to the charge. The electric flux is given by the equation:$$\Phi = \frac{Q}{\epsilon_0}$$where:* $\Phi$ is the electric flux (in N ∙ m2/C)* $Q$ is the charge (in C)* $\epsilon_0$ is the permittivity of free space (in C2/N ∙ m2)Substituting the given values into the equation, we get:$$\Phi = \frac{1.0 	imes 10^{-6} \mu C}{8.85 	imes 10^{-12} C^2/N \cdot m^2} = 0.11 N \cdot m^2/C$$Therefore, the electric flux through the sphere is 0.11 N ∙ m2/C.

A Charge of 1