For this question, see Figure 2 below. Consider the electric field of a disk of radius R and surface charge density σ along the z-axis as a) Use this expression to find the electric field of the disk very close to the disk i.e. Z << R such that the disk looks like an infinite plane with surface charge density σ. b) Use a Gaussian cylinder (pill box) to find the electric field of the plate at this limit (Z << R such that the disk looks like an infinite plane), and compare it with your answer from part a.

For this question, see Figure 2 below. Consider the electric field of a disk of radius R and surface charge density σ along the z-axis as a) Use this expression to find the electric field of the disk very close to the disk i.e. Z << R such that the disk looks like an infinite plane with surface charge density σ. b) Use a Gaussian cylinder (pill box) to find the electric field of the plate at this limit (Z << R such that the disk looks like an infinite plane), and compare it with your answer from part a.