Please see the attachment for full problem statement.
By regarding the disk as a series of thin concentric rings, calculate the electric potential V at a point on the disk's axis a distance x from the center of the disk. Assume that the potential is zero at infinity. (Hint: Use the result that potential at a point on the ring axis at a distance x from the center of the ring is where Q is the charge of the ring).
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The solution shows how to calculate the electric potential V at a point on the disk's axis a distance x from the center of the disk, which has uniform surface charge density. The solution is detailed and well presented. See attachment for full details.
Negative Charge on Circular Disk
A thin circular disk with a circular hole at its center (called an annulus) has inner radius R1 and outer radius R2. The disk has a uniform positive surface charge density σ on its surface. i) Determine the total electric charge on the annulus. ii) If the annulus lies in the y-z plane with its center at the origin find the magnitude and direction of the electric field along the x-axis. Consider points both above and below the annulus. iii) What would happen to a negative charge if it was allowed to move only along the x-axis and was placed at x = 0.01R1?View Full Posting Details