## If there were only one charge in the universe.

(this is not a homework question)

The Question was:

 If there were only one type of charge in the universe, then :
• $\phi = \oint_s\boldsymbol{E}.\partial\boldsymbol{ A}\neq 0$ on any surface
• $\phi = \oint_s\boldsymbol{E}.\partial\boldsymbol{ A}=0$ if the charge is outside a surface
• $\phi = \oint_s\boldsymbol{E}.\partial\boldsymbol{ A}$ is not defined
• $\phi = \oint_s\boldsymbol{E}.\partial\boldsymbol{ A}=\frac{q}{\epsilon_o}$ if the charge is outside a surface

 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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