Consider two charges.

One consists of two point charges of the same magnitude and opposite sign separated by distance.

Another is a positive point charge +Q (the same magnitude as the charges of the "dipole" above) placed inside infinitely thin conducting shell carrying overall charge −Q (neglect the thickness of the shell on the picture) and radius d.

You are tasked with calculating an electric field for both charge distributions at distances larger than d from the positive charges. You decided to use the Gauss' law. Consider the following statement: The total charge enclosed by any surface at distances larger than d is zero for both distributions. According to Gauss' law this means that the total electric field flux through the surface is zero. Therefore since the surface area is not zero the electric field will be zero.

Discuss if the statement is correct. If the statement is incorrect explain why. If the statement only gives a correct answer in one case and not the other explain the differences.