How does the current produced by a thick piece of copper wire connected to a voltage source (like a battery) compare to the current produced by a thin piece of copper wire connected to the same voltage source? Why? The current in the thin wire is larger because the resistance of the thick piece is greater than that of the thin piece. The current in the thick wire is larger because the resistance of the thin piece is greater than that of the thick piece. The current is the same in both scenarios since both the thick wire and narrow piece of copper provide the same resistance