Final answer:
Using Gauss's Law, which relates electric flux to the enclosed charge, and the vacuum permittivity, the charge inside the spherical surface with an inward electric flux of 4.5×104 N·m2/C is calculated to be approximately 3.98×10-7 coulombs.
Step-by-step explanation:
To calculate the electric charge located inside the spherical surface with a given net electric flux, we use Gauss's Law, which relates the electric flux through a closed surface to the charge enclosed within that surface. The law is expressed as Φ = q/ε0, where Φ is the electric flux, q is the charge enclosed, and ε0 is the vacuum permittivity. Given that there is a net electric flux of 4.5×104 N·m2/C inward through the surface, and knowing that the value of vacuum permittivity (ε0) is approximately 8.854×10-12 C2/N·m2, we can find the enclosed charge.
To find the charge (q), we rearrange the equation to q = Φ×ε0. Plugging in the given values, we have q = 4.5×104 N·m2/C × 8.854×10-12 C2/N·m2 = 3.9843×10-7 C. Thus, there is approximately 3.98×10-7 coulombs of charge located inside the spherical surface.