wo equal disks of external radius R and internal radius R / 2 are loaded with positive and uniform charge distributions σ. The discs lie in parallel planes separated by a distance R, but with their centers located on the same axis, as shown in figure 2. Take this axis as Z, and as the origin of coordinates or the midpoint between the rings. 1. Obtain the expression of the electrostatic potential created by these distributions in the points on the Z axis. Where is the potential maximum?
Two equal disks of external radius R and internal radius R / 2 are loaded with positive and uniform charge distributions σ. The discs lie in parallel planes separated by a distance R, but with their centers located on the same axis, as shown in figure 2. Take this axis as Z, and as the origin of coordinates or the midpoint between the rings.
1. Obtain the expression of the electrostatic potential created by these distributions in the points on the Z axis. Where is the potential maximum?
2. Obtain the electric field expression for the points on the Z axis. How does the electric field for z >> R?
3. Determine the work that must be done to bring a point charge q from the infinity to point O.
4. A particle of mass m and charge q> 0 is thrown from infinity through the Z axis. Determine the speed with which the particle must be thrown so that at point O stay at rest.
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