Question

Consider two thin disks, of negligible thickness, of radiusR oriented perpendicular to thex axis such that the x axis runs through thecenter of each disk. The disk centered at x=0 has positive charge density eta, and the disk centered at x=a has negative charge density -\eta, where the charge density is charge perunit area. What is the magnitude E of the electric field at the point on thex axis with x coordinate a/2? For what value of the ratio R/a of plate radius to separation between the plates does the electric field at the point x=a/2 on the x axis differ by 1 percent from the result η/ϵ for infinite sheets?

Answer 1

Complete question

The complete question is shown on the first and second uploaded image

Answer:∈

Answer to first question is shown on the second uploaded image.

Part B the Answer is:

The ratio  $\frac{R}{a}$ is evaluated to be 49.99

Explanation:

The explanation is shown on the third ,fourth and fifth image.