In: Physics
Let's say you want to produce a (roughly) uniform electric field using a very large nonconducting sheet. However, you still want to be able to access the regions above and below the sheet, so a drill a small hole with a radius of 1.80 cm into the sheet. You can assume that very large means "infinite" in this context. The sheet has a surface charge density of 4.50 pC/m2. What is the magnitude of the electric field at a point 2.56 cm above the sheet after the hole is drilled into the sheet? You drill the hole such that the point we are considering lines directly above the center axis of the hole.
Hint: Remember that electric fields obey the superposition principle. What charge distribution can you add on top of the sheet to create the absence of charge (i.e., not net charge) in "hole" region?