Final answer:
The net electric flux through a spherical surface can be calculated using Gauss's law. In this case, we can find the charge enclosed by the surface using the given net electric flux and the radius of the surface.
Step-by-step explanation:
The net electric flux through a spherical surface can be found using Gauss's law. Gauss's law states that the net electric flux through a closed surface is equal to the charge enclosed by that surface divided by the permittivity of free space (ε₀). In this case, we are given the net electric flux and the radius of the spherical surface.
Using the formula for net electric flux, we can solve for the charge enclosed:
Net electric flux = (Charge enclosed) / ε₀
Plugging in the given values:
(4.7 x 10⁴ Nm²/C) = (Charge enclosed) / ε₀
To solve for the charge enclosed, we need to know the permittivity of free space (ε₀), which has a value of 8.854 x 10⁻¹² C²/Nm².
(Charge enclosed) = (4.7 x 10⁴ Nm²/C) x (ε₀)
Calculating the charge enclosed:
(Charge enclosed) = (4.7 x 10⁴ Nm²/C) x (8.854 x 10⁻¹² C²/Nm²)
(Charge enclosed) ≈ 4.16 x 10⁻³ C
Therefore, the net electric flux through the spherical surface of radius 4.4 cm is approximately 4.7 × 10⁴ N ⋅ m²/C inward.