Examples of potential in the following topics:

 The potential energy due to elevated positions is called gravitational potential energy, evidenced, for example, by water held in an elevated reservoir or behind a dam (as an example, shows Hoover Dam).
 (The surface will be the zero point of the potential energy. ) We can express the potential energy (gravitational potential energy) as:
 For this choice, the potential at infinity is defined as 0.
 Hoover dam uses the stored gravitational potential energy to generate electricity.
 Generate an equation that can be used to express the gravitational potential energy near the earth

 A potential energy curve plots potential energy as a function of position; equipotential lines trace lines of equal potential energy.
 A potential energy curve plots the potential energy of an object as a function of that object's position.
 The utility of a potential energy curve is that we can quickly determine the potential energy of the object in question at a given position.
 Equipotential lines trace lines of equal potential energy.
 Work (W) is a measure of the change in potential energy (ΔPE): W = ΔPE.

 The electric potential of a point charge Q is given by $V=\frac{kQ}{r}$.
 Recall that the electric potential is defined as the electric potential energy per unit charge
 The electric potential tells you how much potential energy a single point charge at a given location will have.
 The potential at infinity is chosen to be zero.
 Earth's potential is taken to be zero as a reference.

 Electric potential energy results from forces between charges; potential difference is the energy needed to move a charge from point A to B.
 Electric potential energy is a type of potential energy that results from Coulomb forces.
 Potential difference , or voltage, is the difference in electric potential energy between two points.
 When a charge q moves from point A to point B, the potential difference is independent of path taken.
 A brief overview of electric potential difference and electric potential energy for beginning physics students.

 Potential energy is often associated with restoring forces such as a spring or the force of gravity.
 This work is stored in the force field as potential energy.
 More specifically, every conservative force gives rise to potential energy.
 For example, the work of an elastic force is called elastic potential energy ; work done by the gravitational force is called gravitational potential energy; and work done by the Coulomb force is called electric potential energy.
 In the case of a bow and arrow, the energy is converted from the potential energy in the archer's arm to the potential energy in the bent limbs of the bow when the string is drawn back.

 We've seen that the electric potential is defined as the amount of potential energy per unit charge a test particle has at a given location in an electric field, i.e.
 We've also seen that the electric potential due to a point charge is
 So for example, in the figure above the electric potential at point L is the sum of the potential contributions from charges Q1, Q2, Q3, Q4, and Q5 so that
 The summing of all voltage contributions to find the total potential field is called the superposition of electric potential.
 Explain how the total electric potential due to a system of point charges is found

 Electric potential and field are related in that potential is a property of the field that describes the field's action.
 The relationship between electric potential and field is similar to that between gravitational potential and field in that the potential is a property of the field describing the action of the field upon an object (see ).
 The electric potential at a point is the quotient of the potential energy of any charged particle at that location divided by the charge of that particle.
 Thus, the electric potential is a measure of energy per unit charge.
 In terms of units, electric potential and charge are closely related.

 Electric potentials are commonly found in the body, across cell membranes and in the firing of neurons.
 Electric potentials are not limited in function to inorganic processes.
 Thus, a potential, called the resting potential, is created on either side of the membrane.
 Typical ions used to generate resting potential include potassium, chloride, and bicarbonate.
 Potentials can change as ions move across the cell membrane.

 What is the gravitational potential energy of a 1kg block on top of a 1m high table?
 So gravitational potential energy is $1 \text{kg} \cdot 1 \text{m} \cdot 9.8 \text{m/}\text{s}^2 = 9.8 \text{J}$.
 The potential energy due to elevated positions is called gravitational potential energy, and is evidenced by water in an elevated reservoir or kept behind a dam.
 Thus, a book lying on a table has less gravitational potential energy than the same book on top of a taller cupboard, and less gravitational potential energy than a heavier book lying on the same table.
 In most situations, the change in potential energy is the relevant quantity:

 The relationship between potential and field (E) is a differential: electric field is the gradient of potential (V) in the x direction.
 Moving towards and away from the charge results in change of potential; the relationship between distance and potential is inverse.
 For one point charge, potential will be constant for all points a certain radial distance away.
 Multiple points of the same potential are known as equipotential.
 Calculate the electric potential created by a charge distribution of constant value