2. The Cahora Bassa dam, located in Mozambique, is the highestdam in Africa. The hydroelectric facility within the dam generatesan average 1,925 MWe. Nearly all of this electricity is exported toSouth Africa. The power station is linked to Pretoria, 1,420 kmaway, by a 533.0 kV high-voltage DC (HVDC) transmission line. a.The transmission line consists of eight cables made of aluminumwith a steel core for strength and structural support. The totalcross-sectional diameter of each cable is 28 mm, while thecross-sectional diameter of the steel core is 14 mm (consider thecross-sectional area as a steel circle in the middle of an analuminum circle). Treat each cable as if it consisted of one steeland one aluminum resistor arranged in parallel, while the cablesthemselves are arranged in parallel with each other. What is thetotal resistance of the transmission line? Materialresistivities:

ρ_steel=7.2〖*10〗^(-7) Ω•m

ρ_alum=2.7*10^(-8) Ω•m.

(15 points)

b. On average, how much current flowsthrough the transmission lines? What is the power loss in the line?What is the percentage of power loss relative to the average powergenerated? (10 points)

c. If the power were transmitted at333.0 kV over the same cables, what would the power loss percentagebe? (10 points)

d. If the dam’s power is soldwholesale to South Africa for US$90.00/MWh, how much revenue wouldbe lost per year, transmitting at 333.0 kV instead of 533.0 kV?(note: the 1,920 MW average production already accounts for thedam’s capacity factor) (5 points)

e. Say you are interested in doing alife cycle assessment to estimate the amount of energy used tobuild the Cahora Bassa power system, from dam to end user (not theamount energy produced by the system itself). Consider the majorparts of the Cahora Bassa power system, from the dam, to the powerlines, to the electrical equipment, and everything that wasrequired to manufacture and build them. List ten energy-consumingmaterials or processes that would be used as inputs in a life-cycleassessment of the construction of this system. (10points)