Why is Voltage More Useful Than Electrical Potential Energy?

In summary, electric potential (voltage) is necessary because it allows for the calculation of the force on one charge in the field of another charge, and explains the observed action at a distance by forces. It is more useful than electrical potential energy because it is a scalar, making it easier to solve for in complex geometries, and can be used in the Hamiltonian of a system. Additionally, voltage is a measure of potential energy per unit charge and is easier to measure than energy.
  • #1
GRB 080319B
108
0
Why is electric potential (voltage) necessary? I can see how creating the electric field as the force per unit charge allows the force on one charge in the field of another charge to be calculated and accounts for the observed action at a distance by forces. I don't see the correlation of potential energy/potential like force/field (why voltage is more useful than electrical potential energy)?
 
Physics news on Phys.org
  • #2
GRB 080319B said:
Why is electric potential (voltage) necessary? I can see how creating the electric field as the force per unit charge allows the force on one charge in the field of another charge to be calculated and accounts for the observed action at a distance by forces. I don't see the correlation of potential energy/potential like force/field (why voltage is more useful than electrical potential energy)?
Voltage IS potential energy per unit charge. Are you asking why potential energy per unit charge is more useful than potential energy?

AM
 
  • #3
One of the less obvious details that causes much confusion is that both potential and potential difference are measure in volts.

So sometimes when we say volts we mean potential and sometimes pd. It can be very confusing if we say one but think of the attributes of the other.

go well
 
  • #4
GRB 080319B said:
Why is electric potential (voltage) necessary? I can see how creating the electric field as the force per unit charge allows the force on one charge in the field of another charge to be calculated and accounts for the observed action at a distance by forces. I don't see the correlation of potential energy/potential like force/field (why voltage is more useful than electrical potential energy)?

I'm not sure whether this is an elementary question, or something more "profound".

Why is electric potential more "useful"?

1. It is a scalar rather than a vector. Anyone dealing with any considerable amount of E&M can tell you it is way easier to solve for a scalar than a vector. In any kind of complex geometry, one solves either Poisson's equation, or the Green's function, which essentially is solving for the potential field. Deriving the electric field after you get that is almost relatively trivial.

2. You need the potential field if you want to use the Hamiltonian of the system.

Zz.
 
  • #5
Electric potential can be more usability in specific problem solving. But it is dependent on concrete problem and personal taste.

Sorry for my English.
 
  • #6
The battery has one terminal at a potential that is higher than the other. What's happening here? Chemical reactions are due to the exchange of electrons between chemicals. When this results in one chemical gaining an excess of electrons and the other a deficit, then a potential difference will exist between the two chemicals. If you attach a copper wire connecting the terminal with an excess of electrons to the terminal with a deficit, then a current will flow to eliminate the discrepancy. If you don't connect a copper wire an electric field will exist, external to the battery, between the two terminals. Electrons can be moved from one place to another to create an excess in one place and a deficit in another by mechanical means. This is the cause of static electricity, where you rub amber with fur, or ball point pen with jumper. Whenever we have an excess of electrons in one place and a deficit in another, then there will be a force impelling the excess to redistribute more evenly.
Just as mass falls through differences of height (in a gravitational field) so charge falls through differences of voltage (in an electrical field). Just as a mass raised in a gravitational field has potential energy, which it releases when it falls; so charge has potential energy in an electrical field, which it releases when it moves to a lower voltage. Volts is a measure of this potential energy. The Volt is just a snappy name for the Joule/Coulomb [i.e. kg.m2/coulomb.s2], that is energy per unit charge.
 
  • #7
The reason why we use potential rather than energy is that we are able to measure potential, but measuring energy is problematic. If you try and measure energy, then you get noise from thermal effects, mechanical effects etc. It's a bugger to do, ask any microwave engineer. It's much easier to measure volts.
 
  • #8
GRB 080319B said:
Why is electric potential (voltage) necessary? I can see how creating the electric field as the force per unit charge allows the force on one charge in the field of another charge to be calculated and accounts for the observed action at a distance by forces. I don't see the correlation of potential energy/potential like force/field (why voltage is more useful than electrical potential energy)?

I think it is because pd is PE/charge, which means potential energy of unit charge in that system. Then you don't necessarily know what chargeis put in the system and describe the property of the system.
 

1. What is electric potential?

Electric potential is a measure of the electrical potential energy per unit charge at a specific location in an electric field. It is also known as voltage and is measured in volts (V).

2. What is the difference between electric potential and electric potential energy?

Electric potential is a measure of the potential energy per unit charge at a specific location, while electric potential energy is the potential energy that a charged particle possesses due to its position in an electric field.

3. How is electric potential different from electric field?

Electric potential is a scalar quantity that describes the amount of potential energy per unit charge at a specific point, while electric field is a vector quantity that describes the strength and direction of the force experienced by a charged particle in an electric field.

4. What is the unit for electric potential?

The unit for electric potential is volt (V). It can also be expressed in other units such as joules per coulomb (J/C) or newton-meter per coulomb (N⋅m/C).

5. How is electric potential measured?

Electric potential can be measured using a voltmeter, which measures the potential difference between two points in an electric field. The potential difference is then divided by the distance between the points to calculate the electric potential. It can also be calculated using the equation V = W/q, where V is the electric potential, W is the electric potential energy, and q is the charge of the particle.

Similar threads

Replies
4
Views
1K
Replies
3
Views
495
  • Electromagnetism
Replies
4
Views
978
  • Electromagnetism
Replies
25
Views
1K
Replies
2
Views
754
Replies
13
Views
917
  • Electromagnetism
Replies
3
Views
4K
Replies
4
Views
863
Replies
7
Views
1K
Replies
20
Views
981
Back
Top