Gauss' law in one-dimensional space

[cedricyu803]

Hello I am new here.

Here is the situation:

There is a 1-dimensional closed loop and this loop spans a one-dimensional space.

If there are a +ve and a -ve charge at rest on some points in the loop, what should be the electric field in the loop?

The only thing I can think of is Gauss' law. But I went into trouble because I don't know how to apply it in a 1-dim space.

BTW, Please don't give too detailed proof to me. I got to solve it by myself. I just hope anyone can give me some hint.

I am a physics undergrad.

Thanks in advance

 

[kuruman]

Gauss's law does not apply in one-dimension or even two. You need a volume enclosed by a closed surface to apply Gauss's Law. From your description, it appears you have a line segment with two charges on it which requires superposition of the electric fields generated by each charge,