Wiktor Wise
Electric potential, also known as voltage, is a fundamental concept in physics that measures the electric potential energy per unit charge within an electric field. The electric potential at a point in an electric field is influenced by the distance from the charged object, with the potential decreasing as the distance from the charge increases. When discussing electric potential, it is essential to consider the nature of the charges involved, as the work done to bring charges closer or move them farther apart determines whether the electric potential is positive or negative. A positive electric potential indicates that work is done in the same direction as the force, while a negative electric potential suggests work done in the opposite direction of the force.
Characteristics and Values of a Positive Electric Potential
| Characteristics | Values |
|---|---|
| Electric potential energy | Positive if the two charges are of the same type |
| Work done by external force | Positive |
| Work done by electrostatic force | Negative |
| Work done by conservative force | Positive |
| Electric potential | Inversely proportional to the distance from the sphere |
| Electric potential energy | Proportional to 1/r |
| Electric potential energy | The product of q, E, and d |
| Electric potential | Also known as "voltage" |
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What You'll Learn
Electric potential energy
Electric potential, also known as voltage, is a measure of electric potential energy per unit of charge. It is a scalar quantity and is fundamental to many electrical effects. The concept of electric potential energy is closely related to the work done by an electric field or an external force on a charged particle.
When a conservative force, such as an electric field, acts on a charged particle, it can change the particle's potential energy. This change in potential energy is equal to the negative of the work done on the particle. If work is done against the direction of the force, it is considered positive work, and the potential energy increases. On the other hand, if work is done in the same direction as the force, it is considered negative work, and the potential energy decreases.
In the case of electric potential energy, the work done by an electric field on a positive charge is given by the product of the charge, the electric field strength, and the distance between two points. The electric potential at a point in the field is then calculated by dividing the electric potential energy by the charge. This electric potential represents the amount of work needed to move a unit charge between two points in the electric field.
The electric potential is positive if the two charges are of the same type, either positive or negative, and negative if the two charges are of opposite types. For example, if a positive charge is brought near another positive charge, the work done by the external force (positive work) increases the electric potential energy, resulting in a positive electric potential. On the other hand, if a positive charge is brought near a negative charge, the force is attractive, and the work done (negative work) decreases the electric potential energy, resulting in a negative electric potential.
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Positive and negative charges
Electric potential, also known as "voltage", measures the electric potential energy per unit charge. The concept of potential applies to the work done by the opposing charge. The work done by the external force (you pushing the charge) is positive because you displace the charge in the direction of the force you apply.
A positive electric potential means that a positive charge is brought near a positive charge, resulting in an opposing force. This is considered positive work or positive electric potential. On the other hand, a negative charge seeks a high potential, while a positive charge seeks a low potential. If a negative charge moves freely, it will move to a higher potential, doing work. If you want to move it to a lower potential, you must do work on the particle.
The electric potential at any point around a point charge or a uniformly charged positive sphere with charge Q can be determined using a formula. It is evident that Φ is inversely proportional to the distance from the sphere. The graph of electric potential magnitude versus distance approaches zero at infinity. The spatial variation in the electric potential is related to the electric field, which is a scalar quantity fundamental to many electrical effects.
The electrical potential energy of a charge Q is the work done by an applied force that balances the electric force on Q as it is moved closer to another charge, q. The potential energy of Q is referred to as its electrical potential energy. The work done by the applied force changes the potential energy of Q.
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Work done by external force
Electric potential is the work done per unit of charge between two points in an electric field. When a positive charge is moved from infinity to a point P, the work done by the external force is positive, and the energy is taken from an external source. This is because the charge is moved against the direction of the electric field, increasing the potential energy of the charge.
The work done by an external force in an electric field is determined by the direction in which the charge is moved. If the charge is moved in the direction of the electric field, the work done is negative, and the potential energy of the charge decreases. On the other hand, if the charge is moved against the direction of the electric field, the work done is positive, and the potential energy of the charge increases.
For example, consider a positive charge at the origin. The work done by the external force in bringing the charge from infinity to a point close to the origin is positive. This is because the external force is working against the electric field, which tries to push the charge away.
The concept of work done by an external force is related to the concept of potential energy. When work is done on a charge, the potential energy of the charge changes. The work done by the external force can be calculated using the work formula, where the angle θ determines the sign of the work done. If θ is 180 degrees, the work done is positive, and if θ is 0 degrees, the work done is negative.
In some cases, the work done by the external force may be positive, but the net work done on the charge is zero. This occurs when the electric force does negative work of the same magnitude as the positive work done by the external force. In this case, there is no net gain of kinetic energy in the object, and the change in potential energy is due to the work done by the external force.
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Electric potential and voltage
Electric potential, also known as voltage, is a fundamental concept in physics that deals with the measurement of electric potential energy per unit charge in a system. It is denoted by the symbol Φ (phi) and is defined as the amount of work done to move a positive test charge between two points in an electric field. The electric potential at any point in the field is calculated by dividing the electrical potential energy by the charge on the test charge.
Mathematically, the electric potential (Φ) is given by the formula Φ = U/q, where U is the electrical potential energy and q is the charge. The electric potential energy, in turn, is the product of q, the electric field E, and the distance d between the two points, resulting in the formula U = qEd. This means that the electric potential is influenced by the charge, the electric field strength, and the separation between the points in question.
The concept of electric potential is closely related to the idea of potential energy. In the context of electric fields, the potential energy of a charge is the work required to move it from one point to another against the electric force. When a positive charge is brought near another positive charge, the work done is considered positive due to the opposing force between them. Conversely, when a positive charge is brought near a negative charge, the work done is considered negative as the force is attractive.
The spatial variation in electric potential is essential to understanding voltage differences. The electric potential decreases as the distance from the charged object increases, resulting in a spherical equipotential surface around a charged sphere. This relationship between electric potential and distance can be experimentally validated using a charged sphere and a voltmeter. By measuring the voltage at different distances from the sphere, a curve can be plotted that demonstrates the inverse relationship between potential and distance.
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Electric potential and distance
Electric potential refers to the amount of work done per unit of charge between two points in an electric field. It is associated with the potential energy of a system, which depends on the position and nature of the charges within the field. A positive electric potential indicates that work is done by the electric field on a positive charge, increasing its potential energy. Conversely, a negative electric potential means work is done against the electric field, reducing the potential energy of the system.
The electric potential due to a point charge, such as an electron, can be calculated using the formula:
> V = kQ/r
Where V is the electric potential, k is a constant (9.0 x 10^9 N·m^2/C^2), Q is the charge, and r is the distance from the charge. This formula demonstrates that the electric potential is inversely proportional to the distance from the charge. As the distance from the charge increases, the electric potential decreases.
The relationship between electric potential and distance can be understood through the concept of "platforms" of energy levels. Each energy level represents a different potential energy, and the electric field between two points depends on the difference in potential energy between those points. As the distance between two charges increases, the electric field strength decreases, resulting in a lower electric potential.
The behaviour of charges within an electric field also influences the relationship between electric potential and distance. A negative charge will naturally move towards a higher electric potential (closer to a positive charge), reducing its potential energy. Conversely, a positive charge will move towards a lower electric potential, also reducing its potential energy. These movements are influenced by the attractive or repulsive forces between charges and the resulting work done on or by the charges.
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Frequently asked questions
A positive electric potential, also known as "voltage", measures the electric potential energy per unit of charge between two points in an electric field.
Electric potential is the amount of work done to move a positive test charge from a reference point to a specific point. The work done by an external force (e.g. a person pushing the charge) is considered positive, while the work done by an internal force (e.g. electrostatic force) is considered negative.
Electric potential energy is the energy associated with a conservative force. It is the energy required to assemble charges and is proportional to the inverse of the distance between the charges. Electric potential is the electric potential energy per unit of charge.
