Electric field and potential

In summary, an electric field is a physical quantity that describes the influence of a charged particle on other charged particles in its vicinity. It is represented by vector arrows and is directly related to electric potential. Electric potential is the amount of energy required to move a unit positive charge from an infinite distance to a specific point in an electric field. The strength of an electric field is measured in newtons per coulomb (N/C) or volts per meter (V/m). Electric potential can be negative, indicating that work is done by the electric field on a charged particle, and this can occur when the field is generated by negative charges.
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Homework Statement


If V = 0 at a point in space, must E = 0? If E = 0 at some point, must V = 0 at that point?



Homework Equations





The Attempt at a Solution


V = 0 means there is no PE at that point is zero. However, the PE may have been converted to KE which would require a non-zero E field.

Am I in the ballpark? Now, I just need the second part...
 
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  • #2
What is the relation between E and V?
 
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Yes, you are correct. If V = 0 at a point, it means that there is no potential energy at that point. However, this does not necessarily mean that the electric field is also zero. The electric field may still exist and could potentially be contributing to the conversion of potential energy to kinetic energy.

On the other hand, if E = 0 at a point, it means that there is no electric field at that point. This could be due to a number of reasons, such as the absence of any charged particles or the cancellation of electric fields from multiple sources. In this case, V may or may not be zero at that point. It could be zero if there are no charged particles present, but it could also be non-zero if there are charged particles present but their contributions to the electric field cancel out.
 

What is an electric field?

An electric field is a physical quantity that describes the influence that a charged particle has on other charged particles in its vicinity. It is represented by vector arrows that point in the direction of the force that a positive charge would experience if placed in the field.

What is the relationship between electric field and potential?

Electric potential is the amount of energy required to move a unit positive charge from an infinite distance to a specific point in an electric field. The electric potential is directly related to the electric field, as the electric field is the gradient of the electric potential.

How is the strength of an electric field measured?

The strength of an electric field is measured in newtons per coulomb (N/C). This represents the amount of force that a unit positive charge would experience if placed in the field. It can also be measured in volts per meter (V/m), as electric field and electric potential are directly related.

What is the difference between an electric field and an electric potential?

An electric field is a vector quantity that represents the force that a charged particle would experience in a given region. On the other hand, electric potential is a scalar quantity that represents the amount of energy required to move a charged particle to a specific point in the electric field.

Can electric potential be negative?

Yes, electric potential can be negative. This means that the energy required to move a charged particle from an infinite distance to a specific point in the electric field is less than zero, indicating that work is done by the electric field on the particle. This can occur when the electric field is generated by negative charges.

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