# Where Is Charge Density Greatest on a Charged Football-Shaped Conductor?

• willdefender
In summary, the charge density of a metal conductor in the shape of a football is greatest at the ends due to the smaller area and potential difference exists between two conducting spheres of different charges and sizes. The electric potential energy of two unlike charges is determined by their sign and can indicate attraction or repulsion between the charges.
willdefender
13.Consider a metal conductor in the shape of a football. If it carries a total charge Q, where would you expect the charge density δ to be greatest, at the ends or along the flatter sides? Explain.(Hint: Near the surface of a conductor, E=δ/ε0).

14.A conducting sphere carries a charge Q and a second identical conducting sphere is neutral.The two are initially insulated, but then they are placed in contact. (a)What can you say about the potential of each when they are in contact? （b）Will charge flow from one to the other? If so, how much? (c)If the spheres do not have the same radius, how are your answers to parts (a) and (b) altered?

19.Is the electric potential energy of two unlike charges positive or negative? What about two like charges? What is the significance of the sign of the potential energy in each case?

13.I think the density at the ends is greater because the smaller the area, the more charge will gather?

14.(a)They have potential difference.
(b)It will. Half of Q.
(c)There still exists potential difference. The charge will flow, but not half of Q. The amount will depens on the ratio of the area of two spheres.

19.The electric potential energy of two unlike charges may be neutral? Two positive charges has positive energy and negative charges has negative charges. The sign of the potential energy determines the sign of energy.

Positive energy indicates that the two charges attract each other while negative energy implies repulsion.

## 1. What is electric potential?

Electric potential is the amount of electric potential energy per unit charge at a given point in an electric field. It is a measure of the work that needs to be done to move a unit charge from one point to another in the electric field.

## 2. How is electric potential different from electric potential energy?

Electric potential is a measure of potential energy per unit charge at a specific point in an electric field, while electric potential energy is the total potential energy of a charged object in an electric field. In other words, electric potential is a property of the electric field itself, while electric potential energy is a property of a charged object within the field.

## 3. What is the unit of electric potential?

The unit of electric potential is volts (V) in the SI system. It can also be measured in other units such as joules per coulomb (J/C) or newtons per coulomb (N/C).

## 4. How is electric potential related to electric potential difference?

Electric potential difference, also known as voltage, is the difference in electric potential between two points in an electric field. It is measured in volts (V) and is equal to the change in electric potential energy of a unit charge when moving from one point to another. In other words, electric potential difference is the change in electric potential between two points.

## 5. What is the relationship between electric potential and electric field?

Electric potential and electric field are closely related. Electric field is a measure of the electric force experienced by a unit charge at a given point, while electric potential is a measure of the potential energy per unit charge at that point. The electric field is directly proportional to the gradient of the electric potential, meaning that the electric field is stronger in regions where the electric potential changes rapidly.

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