Final answer:
To solve this problem, we use Gauss's law to find the charge density on the inside surface of the sheet and the electric field between the plates.
Step-by-step explanation:
In this question, a charge of 87.6 pc (percent) is uniformly distributed on the surface of a thin sheet of insulating material that has a total area of 47.2 cm2. A Gaussian surface encloses a portion of the sheet of charge. To solve this problem, we need to use Gauss's law, which states that the electric flux through a closed surface is equal to the net charge enclosed divided by the permittivity of free space. The charge density on the inside surface of the sheet can be found by dividing the total charge by the total area of the sheet. The electric field between the plates can be calculated by dividing the charge inside the Gaussian surface by the permittivity of free space and the area of the Gaussian surface.