3)When a power source like a battery is connected to a circuit,an electric field pushes electrons within the conducting wirescausing them to flow. The electric field exists due to an unevenbuild up of charge on the surfaces of the wires (called a surfacecharge gradient). In this set of problems we will explore a simplemodel of how this all comes about and emphasize the connectionbetween source charges, electric fields, and voltage differences inthe context of electric circuits.
A very small segment of the conducting wire in a circuit can bemodeled as a circular ring of radius 1 mm. Consider two such ringssurrounding the z-axis separated by a small distance 2 mm. Let'sfirst suppose that both rings have the same charge density. What isthe strength of the electric field on the z-axis at the midpointbetween the two rings?
4)If you used a voltmeter to measure the voltage differencebetween the centers of the two rings, what measurement would youread?