Question

You will explore the electric fields of charged wires and circular loops and the fields of current-carrying versions of these same objects, so this question is meant to give you a reference point with which to compare and contrast the two types of fields.

1. Consider a very long, straight wire of uniform positive charge density. In the space below, 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.

2. 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:

A. Smaller than the electric field a distance R from a straight wire

B. Zero    

C. Larger than the electric field a distance R from a straight wire

D. 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.

Answer 1

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