# Would electric field exist if there were only one type of charge?

• navneet9431
In summary, the conversation discussed the correctness of given answers regarding the existence of electric field and the effects of assuming a universe with only one type of charge. The reasons given were found to be incorrect and the answers were deemed correct if one specific word was changed. The conversation also touched on the possibility of a net charge in a universe with only one type of charge. There was no self-contradiction found in this concept.
navneet9431
Gold Member
Homework Statement
If there were only one type of charge in the universe, then:

ϕ=∮E⋅∂A≠0 on any surface.
ϕ=∮E⋅∂A=0 is the charge is outside a surface.
ϕ=∮E⋅∂A will not be defined.
ϕ=∮E⋅∂A=qϵo if the charge is inside the surface.
Relevant Equations
Gauss Law
Φ=∫E⋅dA
The answers were given as being the second and the last option.
I believe the answer is incorrect, reasons:

1. The answer assumes that electric field will exist .
2. But this is not the case , until and unless there is a bipolarity there cannot be an electric field ( in case of isolated charged objects, the field exists because the bipolarity is separated by a distance ∞ )
3. This integral will result in a constant 0 as the electric field will be zero.(all cases)

I want to know if my reasons are correct or not if not then why is the given answer correct or wrong and what should be the correct answer?

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Your reasons are not correct. The given answers are correct if you change the last one to "inside" instead of "outside" (otherwise the second and the last are obviously in disagreement).

The existence of the electric field has nothing to do with the actual existence of charges or particular types of charges.

Orodruin said:
Your reasons are not correct. The given answers are correct if you change the last one to "inside" instead of "outside" (otherwise the second and the last are obviously in disagreement).

The existence of the electric field has nothing to do with the actual existence of charges or particular types of charges.
So is it correct to assume this world made up of only one type of charges(electrons)?
Would the assumption that only one type of charges exist not affect Gauss Law?

navneet9431 said:
So is it correct to assume this world made up of only one type of charges(electrons)?
Would the assumption that only one type of charges exist not affect Gauss Law?
It depends on what you mean by "correct". It is not compatible with what we actually observe from Nature. However, there is absolutely nothing wrong with theoretically considering such a situation.

No, not at all.

Orodruin said:
if you change the last one to "inside" instead of "outside"
But,What is meant by this line?

ϕ=∮E⋅∂A=qϵo if the charge is outside the surface.
It should be "inside" as it is now.

Just a remark. If there were only one kind of charge in the Universe, would the Universe not necessarily have a net charge? If this charge is localized, then the question can be answered by considering a Gaussian surface that encloses all, some or none of the charge. If the charge is (perhaps uniformly) distributed over the entire Universe, see

kuruman said:
Just a remark. If there were only one kind of charge in the Universe, would the Universe not necessarily have a net charge? If this charge is localized, then the question can be answered by considering a Gaussian surface that encloses all, some or none of the charge. If the charge is (perhaps uniformly) distributed over the entire Universe, see
Yes, but we are clearly not describing our actual universe here. I do not see a self-contradiction in having a total net charge in Maxwell’s electromagnetism.

## 1. Would electric field still exist if there were only positive charges?

Yes, electric field would still exist even if there were only positive charges. This is because electric field is a fundamental physical quantity that describes the strength and direction of the electric force on a charged object. It is created by any charged object, whether it is positive or negative.

## 2. How would the electric field be affected if there were only negative charges?

The electric field would still exist if there were only negative charges. However, the direction of the electric field would be reversed, as negative charges repel each other and would create an electric field that points away from them.

## 3. Would the strength of the electric field change if there were only one type of charge?

No, the strength of the electric field would not change if there were only one type of charge. It is determined by the magnitude and distance of the charges creating the field, and not by the type of charge.

## 4. Would the behavior of charged particles be different if there were only one type of charge?

Yes, the behavior of charged particles would be different if there were only one type of charge. This is because opposite charges attract each other, while like charges repel each other. With only one type of charge, there would be no attractive or repulsive forces between particles.

## 5. Is it possible for there to be only one type of charge in the universe?

No, it is not possible for there to be only one type of charge in the universe. This is because charge is a conserved quantity, meaning it cannot be created or destroyed. In order for there to be only one type of charge, all other types of charge would have to be eliminated, which goes against the laws of conservation of charge.

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