A. Consider a very long, straight wire of uniform positive charge density. Describe the electric field of the wire. In particular, what direction does it point? Does its strength depend on position? If so, how? Note any symmetries of interest. b. Use the understanding of electric fields you developed above to deduce the electric field at the center of a circular loop of wire (radius R) with the same positive uniform charge density. Specifically, is it:

1. Smaller than the electric field a distance R from a straight wire
2. Zero
3. Larger than the electric field a distance R from a straight wire
4. The same magnitude as the electric field a distance R from a straight wire

Explain how you arrived at your answer. Qualitative arguments are encouraged?