Halliday, Resnick & Walker — Circuits: Problem 68

68 Figure 27-59 shows a resistor of resistance \( R = 6.00 \Omega \) connected to an ideal battery of emf \( \mathcal{E} = 12.0 \text{ V} \) by means of two copper wires. Each wire has length \( 22.0 \text{ cm} \) and radius \( 1.00 \text{ mm} \). In dealing with such circuits in this chapter, we generally neglect the potential differences along the wires and the transfer of energy to thermal energy in them. Check the validity of this neglect for the circuit of Fig. 27-59: What is the potential difference across (a) the resistor and (b) each of the two sections of wire? At what rate is energy lost to thermal energy in (c) the resistor and (d) each section of wire?