Potential Energy (Voltage) and Charge Relationship.

Where we will post some relations between Voltage and the Charge on an electron or proton, since are the ones that we, students, use to make our calculations.

In this photo a relationship between voltage and the charge that a rod. If we have a point charge passing near the rod, it will experience a charge the is presented throughout the rod length. We must remember that the charge is not the only one that will make the voltage increase or decrease; indeed, the charge is constant, but the parameter that influences the change in the voltage is the Radius. And the relationship is as flows; bigger the radius, using the same charge and knowing that the K is also constant, small the voltage that the point charge will experience. On the other end, smaller the radius, and keeping the same constants charge and k, the bigger the voltage that the point charge will experience. However, there is a maximum value that can be experienced by the point charge which is when the distance between the rod and the point charge has an angle of 90 degrees. And the minimum value would be when the radius goes to infinity, and in this case the voltage would go to 0 Volts.     

This graph represents a lab done to see the measurements of various points using a power supply. The shows a peak of a maximum value for the voltage, and that is when the distance between the point charge and the device that we were measured the Electric Potential was the minimum on that particular experiment. Even though we had predicted that bigger the radius, smaller the voltage or the electric potential, in this experience we saw that after passing the point where the electric potential has its maximum, it keeps constant as we can see in the graph. I may conclude that accordingly with the distance, the ratio (charge/radius) will keep constant until it goes to zero. 

For this photo, the first one, we found a relationship between a disk and a point charge around of the disk's surface. Although the direction of the charge, or where she will move, changes accordingly of which part of the disk is being used to calculate the electric potential on the point charge. The second one, shows that the electrical potential is equal independently of the piece we choose to calculate the voltage on the point charge. 

Here we could relate the electric potential and the work done on the point charge. Yet, the charge value used can be different or even the same. For example, if want to find the work that one particle that is charged does on other particle, we have to have the or calculate the electric potential of both particles or the one that is missing. This result will tell us how strong or weak one is relatively to the other.