Two uniform wires A and B are made of different materials but have the same length. Their respective resistivities are ρA and ρB, and their resistances are equal.
a. (i) Show that the ratio of their cross-sectional areas is ABAA=ρBρA.
b. (ii) Wire A is of nichrome with resistivity 1.1×10−6Ωm, while wire B is of copper with resistivity 1.7×10−8Ωm. If their common length is 2.0m and their common resistance is 2.0Ω, calculate the individual cross-sectional areas of A and B.
c. (iii) When the same current passes through both wires for the same time, which wire will produce more heat? Support your answer with suitable reasoning and calculation.