A power distribution system in a city supplies electricity to residential areas through a network of transformers and distribution lines. The main substation receives electricity at $11$ kV from the transmission network. From the main substation, electricity is distributed to a residential area through a step$-$down transformer with a primary voltage of $11$ kV and a secondary voltage of $240$ V$.$Assume the following details:The residential area consumes an average power of $500$ kW during peak hours.The efficiency of the distribution transformer is $98\%.$The distribution lines have a total resistance of $0\mathrm{.}5$ ohms.The power factor of the residential load is $0\mathrm{.}85$ lagging.The distance between the main substation and the residential area is $5$ km$.$Tasks:Calculate the current drawn from the main substation at $11$ kV during peak hours.Determine the real power, reactive power, and apparent power consumed by the residential area.Calculate the voltage drop in the distribution lines.Evaluate the efficiency of power transmission from the main substation to the residential area.Discuss possible improvements or measures to optimize the power distribution system in terms of efficiency and voltage regulation. Define backtracking in data structures