Umair Gaines
Voltage and electric potential are often used interchangeably, but they have distinct connotations. Electric potential is the potential energy per unit charge, and it is an absolute number. Voltage, on the other hand, is not a formal term and is used to describe the difference in potential between two points. It is the energy per unit charge and is measured with a voltmeter. Voltage can be thought of as the height between two points, and it is always relative to a reference value.
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What You'll Learn
- Electric potential is the work done to bring two charges together or apart
- Voltage is the difference in potential between two points
- Potential difference is the work done per charge
- Voltage is not a formal term and is used to mean what we measure with a voltmeter
- Electric potential is potential energy per unit charge
Electric potential is the work done to bring two charges together or apart
Electric potential and voltage are often used interchangeably, and they represent the same type of quantity. However, voltage is not a formal term and does not have a formal definition. It is essentially used to refer to what is measured with a voltmeter.
Electric potential, on the other hand, is defined as the total work done by an external force or agent in bringing a charge from infinity to a given point. In other words, it is the energy per unit charge gained or lost when a charge is moved from a reference point where the potential is defined as zero.
The electric potential between two charges is given by the equation:
Ur = - [kqqo]/r
Where 'k' is the electrostatic constant, 'qo' is the reference charge, and 'r' is the distance between the charges.
For example, consider two charges, q1 and q2, placed at a distance 'r' from each other. The total electric potential of the charges is the work done (W) by an external force in bringing the charges together from infinity to the given point. Mathematically, this can be represented as:
∫ (ra→rb) F.dr = – (Ua – Ub)
Where rb is the point at infinity, ra is 'r', and Ua and Ub are the potentials at points a and b, respectively.
The concept of electric potential is similar to the potential energy in a gravitational field. Just as the force of gravity converts potential energy into kinetic energy, the electric force converts a voltage difference into a current. Voltage, or potential difference, can be thought of as the height between two points, with the potential energy of a charge being dependent on its relative position to other charged objects.
In summary, electric potential is indeed related to the work done to bring two charges together or apart, and it is a fundamental concept in understanding voltage, electric potential energy, and the behaviour of charges in electrical circuits.
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Voltage is the difference in potential between two points
Electric potential is the energy per unit charge gained or lost when a charge is moved from a reference point where the potential is defined as zero to another point. It is a value that, when multiplied by a charge value, gives the potential energy of a specific particle. The unit of electric potential is called voltage.
Voltage, on the other hand, is the difference in electric potential between two points. It is the energy per unit charge, and it is measured using a voltmeter. The voltmeter measures the difference in potential between two points. The electric potential is an absolute number, while voltage is relative to a reference value.
For example, consider a battery with two terminals. The voltage of the battery is the potential difference between the two terminals. The point chosen to be zero volts is arbitrary, just like how sea level is the arbitrary zero reference point for gravitational potential energy.
To further illustrate the concept, let's use the analogy of a watermill or a turbine. Voltage can be likened to the height of a dam over a sea. The higher the dam is built, the higher the pressure of the water flowing out. In this scenario, the height of the dam represents the voltage, while the pressure of the water is analogous to the electric force.
In summary, voltage is indeed the difference in potential between two points. It is a measure of the potential energy per unit charge between two arbitrary points, and it plays a crucial role in understanding and working with electrical circuits.
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Potential difference is the work done per charge
Electric potential and voltage are related but distinct concepts. Electric potential is a value that, when multiplied by a charge value, gives the potential energy of a specific particle. In other words, electric potential is the amount of work done to move a charge from infinity to a particular point. It is denoted by the letter 'V', has SI units of 'volts' and is measured by a voltmeter.
Voltage, on the other hand, is a less formal term that is used to refer to what is measured by a voltmeter. It is the difference in potential between two arbitrary points. It is not an absolute quantity but is always relative to some reference value, usually the ground or 0V.
Potential difference is a related concept that is defined as the amount of work done to move a unit positive charge or one Coulomb of charge from one point to another in an electric circuit. It is the work done per unit charge. The SI unit of potential difference is the volt, which is defined as one joule per Coulomb. This can be seen in the equation relating work done, charge, and potential difference:
${\rm{W}} = {\co: 8,10>rm{Charge}} \times {\co: 8,10>rm{Potential\;Difference}}$
Where W is the work done in joules, the charge is in coulombs, and the potential difference is in volts.
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Voltage is not a formal term and is used to mean what we measure with a voltmeter
While the terms voltage and electric potential are often used interchangeably, they have slightly different connotations. Voltage, or electric potential difference, is not a formal term and is used in practice to refer to what we measure with a voltmeter.
A voltmeter is an instrument used to measure the voltage or electric potential difference between two points in an electric circuit. It is connected in parallel and has a high resistance to take negligible current from the circuit. The voltmeter does not measure the electric current, which is measured by an ammeter.
The voltmeter measures the voltage between two points in a circuit in volts (V). Voltage is called "potential" because charges subject to a voltage have the potential to move to a lower energy state, giving off energy proportional to the amount of potential. This is similar to a rock on a cliff. When you hold the rock in your hand, it is not particularly energetic. However, when you drop it off the cliff, it has a significant potential difference between the top and the bottom, and you can observe the energy given off when it hits the bottom. In this analogy, the potential difference is related to height, and in circuits, the potential difference is associated with voltage.
The voltmeter measures the voltage between two points, which can be from one point to the ground or from one side of a component to the other. The voltmeter does not directly measure the voltage but instead measures the current through a known resistance. The voltage being measured pushes a small current through a new path, and this current deflects the needle by operating like a small motor.
Voltmeter measurements are always relative, and the accuracy of a voltmeter is critical to ensuring that the measurements reflect the actual state of the electrical system being tested.
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Electric potential is potential energy per unit charge
Electric potential, electric potential energy, voltage, and potential difference are all related concepts in physics, but they are not the same. Electric potential is indeed the potential energy per unit charge. In other words, it is the energy gained or lost by a unit charge when it is moved from a reference point where the potential is defined as zero to another point. The reference point is usually the ground, or sea level, which is assumed to be zero volts.
The electric potential is calculated as the work done (in joules) to bring two charges together or apart, and its unit is joules per coulomb, which is called voltage. So, if the work done per coulomb is one joule, the potential is one volt. Voltage is not a formal term and does not have a formal definition, but it is essentially used in practice to refer to what is measured with a voltmeter.
The potential difference between two points is the change in potential of a charge moved from one point to another. This is analogous to the height difference between two points, where the potential energy of a unit mass at a certain height is compared to the potential energy of the same unit mass at sea level. Voltage is the potential difference between two points, and it is usually measured against a reference point, or ground, which is zero volts.
The relationship between potential difference and electrical potential energy is given by the equation $\Delta U = q\Delta V$, where $\Delta U$ is the change in potential energy, $q$ is the value of the charge in coulombs, and $\Delta V$ is the potential difference in volts.
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Frequently asked questions
Electric potential is the work done (in joules) to bring two charges together or apart. It is the potential energy per unit charge.
Voltage is the difference in electric potential between two points. It is a measure of the potential energy gained or lost when a charge is moved from one point to another.
Yes and no. Electrically speaking, potential and voltage are the same. However, they are used differently to describe a given scenario. Voltage is used when referring to work done with electric potential, while electric potential is used when relating one reference to another.
The formula for electric potential is $PE = Vq$, where $V$ is the potential, $q$ is the value of a charge in coulombs, and $PE$ is the potential energy in joules.
The unit of voltage is volts, which is defined as the potential difference between two points.
