A uniform aluminium conductor is made by joining two cylindrical pieces end to end. Piece 1 is 2.0m long and 3.0mm in diameter, while Piece 2 is 1.0m long and 1.5mm in diameter. The resistivity of aluminium is 2.7×10−8Ωm.
a. (i) Calculate the resistance of each piece separately.
b. (ii) Hence find the total resistance between the free ends of the composite wire.
c. (iii) When a potential difference is applied across the composite wire, what percentage of the total potential difference appears across Piece 2?