Beatrice Lang
Electric potential difference, or voltage, is a fundamental concept in physics that deals with the difference in electric potential between two points. It is defined as the work required per unit charge to move a charge between two points. The potential difference is measured in volts (V) and is always measured between two points. The relationship between potential difference and electric potential energy is given by the equation ΔU = qΔV, where ΔU is the change in potential energy, q is the charge, and ΔV is the potential difference. This equation shows that voltage is not the same as energy but rather the energy per unit charge. To calculate the energy output, we multiply the charge moved by the potential difference. An electron volt (eV) is a common energy unit used in submicroscopic processes, representing the energy given to a fundamental charge accelerated through a potential difference of one volt.
| Characteristics | Values |
|---|---|
| Definition of Electric Potential | Electric potential is the potential energy per unit charge. |
| Definition of Potential Difference | The potential difference between points A and B, VB − VA, is the change in potential of a charge q moved from A to B. |
| Relationship between Potential Difference and Electric Potential | Electric potential is independent of the test charge q, whereas the change in potential energy ΔPE is crucial, so the potential difference is concerned with the difference in potential. |
| Relationship between Voltage and Energy | Voltage is the energy per unit charge. A higher voltage does not necessarily mean more energy. |
| Relationship between Voltage and Potential Difference | Voltage is the common word for potential difference. |
| Relationship between Electric Potential and Work | Electric potential is defined as the work required per unit charge to move the charge between two points, or V=W/Q. |
| Relationship between Electric Force and Work | Work, W, is calculated as W = F d cos θ, where F is the electric force. |
| Relationship between Electric Force and Electric Potential | Electric force, F, is related to electric potential, V, through the equation F = qE. |
| Relationship between Charge and Potential Difference | The energy output is calculated by multiplying the charge moved by the potential difference. |
| Relationship between Electron Volt and Potential Difference | An electron volt (eV) is the energy given to a fundamental charge accelerated through a potential difference of 1 V. |
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What You'll Learn
Electric potential and potential energy
Electric potential, or voltage, is the potential energy per unit charge. It is denoted by the letter V. The potential difference between two points is the change in potential energy per unit charge moved between those points. This is calculated by taking the difference in potential energy, ΔPE, and dividing it by the charge, q.
The formula for the potential difference between two points is given by V = W/Q, where W is the work done and Q is the charge. This can also be expressed as ΔV = ΔPE/q, where ΔV is the potential difference, ΔPE is the change in potential energy, and q is the charge.
The potential difference is related to the electric field strength. If the potential difference is zero, then the electric field strength is also zero.
The unit of energy used in submicroscopic processes is the electron volt (eV), which is the energy given to a fundamental charge accelerated through a potential difference of one volt. The relationship between potential difference and particle charge is simple and direct, making the electron volt a convenient unit of energy in such circumstances.
To find the energy output, we multiply the charge moved by the potential difference. For example, a 12.0 V motorcycle battery that can move 5000 C of charge has an energy output of 60,000 C.
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Electron volt and energy
An electron volt (eV) is a unit of energy commonly used in physics, particularly in solid-state, atomic, nuclear, and particle physics, as well as high-energy astrophysics. It is defined as the energy given to a fundamental charge, typically an electron, when it is accelerated through a potential difference of one volt. In equation form, this can be expressed as:
> An electron accelerated through a potential difference of 1 V is given an energy of 1 eV.
This relationship extends to larger voltages and energy values in electron volts. For example, an electron accelerated through a potential difference of 50 volts will possess an energy of 50 electron volts. Similarly, a positive ion with a double charge accelerated through 100 volts will have an energy of 200 electron volts.
The electron volt is a convenient unit in submicroscopic processes due to its direct relationship between accelerating voltage and particle charge. It is also interchangeable with units of mass in particle physics due to mass–energy equivalence, with one electron volt corresponding to approximately 1.78 x 10^-36 kilograms. The electron volt is not an SI unit, but it can be converted to the SI unit of energy, the joule, with one electron volt equal to 1.602 x 10^-19 joules.
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Voltage and energy
Voltage, also known as electric potential difference, is a measure of the energy transferred per unit of charge passed. It is measured in volts (V), where 1 volt is equal to 1 joule of energy per coulomb. Voltage can be calculated using the equation:
> Voltage (V) = Energy (J) / Charge (C)
The relationship between voltage and energy is important in understanding the behaviour of electrical circuits. The amount of energy transferred to a component in a circuit can be determined using the values for charge and voltage. Voltage is also related to the concept of electric potential energy, which is defined as the potential energy per unit charge. The change in potential energy (ΔPE) is crucial, and we are concerned with the difference in potential or potential difference (ΔV) between two points.
The relationship between voltage and energy can be further illustrated through the concept of kinetic energy and potential energy. In the context of voltage, we can think of potential energy as the object's potential to inflict damage when released. For example, a ball held at a higher height has greater potential energy, and thus has a greater impact when it falls. Similarly, a higher voltage can indicate a higher energy transfer and a greater potential for damage.
The relationship between voltage and energy is also evident in the behaviour of electrons. An electron accelerated through a potential difference of 1 V is given an energy of 1 eV (electron volt). This relationship holds for higher voltages as well, with an electron accelerated through 50 V gaining an energy of 50 eV. The electron volt is a common energy unit for submicroscopic processes and is particularly useful in understanding the behaviour of charged particles in electric fields.
In summary, voltage and energy are closely linked, with voltage representing the energy transferred per unit of charge. The relationship between voltage and energy is important in understanding electrical circuits, electric potential energy, and the behaviour of charged particles.
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Electric potential and field strength
Electric potential and electric field are closely related concepts in physics. Electric potential, or voltage, is the potential energy per unit charge. It is a scalar field, meaning it has magnitude but no direction. The electric potential difference between two points is defined as the change in potential energy of a charge moved between them, divided by the charge. This potential difference is measured in volts (V).
An electric field, on the other hand, is a vector field with both magnitude and direction. It is the negative space derivative of electric potential, and its direction is from lower to higher potential. The electric field strength at a given point in space is equal to the negative local gradient of the electric potential. The units of electric field strength are volts per meter (V/m) or newtons per coulomb (N/C).
The relationship between electric field strength and potential difference can be expressed by the equation:
E = V/d
Where E is the electric field strength, V is the potential difference, and d is the distance or separation between two points.
For example, consider two parallel metal plates, A and B, connected to a power supply with a voltage of 12 V and separated by 6 cm (0.06 m). We can calculate the electric field strength between these plates using the formula:
Electric Field Strength (E) = Potential Difference (V) / Distance (d)
E = 12 V / 0.06 m
E = 200 V/m
So, the electric field strength between the plates is 200 V/m.
In summary, electric potential and electric field strength are interconnected, with electric field strength being the negative gradient of electric potential and the potential difference influencing the electric field strength in a given space.
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Electric potential and work
When a charged particle moves within an electric field, the field performs work on the particle, and this work is conservative. The work done is calculated by multiplying the charge moved by the potential difference. This relationship allows us to define potential energy for the force exerted by the electric field. The work done on a particle by the force of the electric field is equal to the negative change in the particle's potential energy.
Mathematically, the work done on a particle by a force is given by the equation:
W = Fd cos θ
Where:
- W is the work done
- F is the force
- D is the distance
- Θ is the angle between the force and displacement vectors
In the case of an electric field, the force is given by qE, where q is the charge and E is the electric field strength. The work done on a particle by the electric field can be calculated by integrating the electric field strength along the path of the particle.
The concept of electric potential energy is crucial in understanding electric potential and work. Electric potential energy is the energy that a charged particle possesses due to its position in an electric field. It is relative to another point in space, typically at infinity, where the potential is defined as zero. The potential energy of a particle in an electric field depends on its charge and distance from the reference plane perpendicular to the field.
The relationship between electric potential and work is essential in understanding electrical systems and the behaviour of charged particles in electric fields. By calculating the work done and the change in potential energy, we can analyse the energy transfer and particle motion within these systems.
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Frequently asked questions
The formula for potential difference or voltage between two points is defined as the work required per unit charge to move the charge between the two points, or V=W/Q.
Voltage is the common word for potential difference. Potential difference is a feature of the system, whereas electric potential energy is the potential energy per unit charge.
Electric potential energy is calculated by multiplying the magnitude of the charge by the potential difference.
An electron volt (eV) is the energy given to a fundamental charge accelerated through a potential difference of 1 volt.
To find the energy output of a battery, multiply the charge moved by the potential difference.
