A small town with a demand of math xmlns=http://www.w3.org/1998/Math/MathMLmn800/mnmo /momi...
A small town with a demand of math xmlns=http://www.w3.org/1998/Math/MathMLmn800/mnmo /momikW/mi/math of electric power at math xmlns=http://www.w3.org/1998/Math/MathMLmn220/mnmo /momi mathvariant=normalV/mi/math is situated math xmlns=http://www.w3.org/1998/Math/MathMLmn15/mnmo /momikm/mi/math away from an electric plant generating power at math xmlns=http://www.w3.org/1998/Math/MathMLmn440/mnmo /momi mathvariant=normalV/mi/math. The resistance of the two wire line carrying power is math xmlns=http://www.w3.org/1998/Math/MathMLmn0/mnmo./momn5/mnmiΩ/mi/math per math xmlns=http://www.w3.org/1998/Math/MathMLmikm/mi/math. The town gets power from the line through a math xmlns=http://www.w3.org/1998/Math/MathMLmn4000/mnmo-/momn220/mnmo /momi mathvariant=normalV/mi/math step-down transformer at a sub-station in the town.
(a) Estimate the line power loss in the form of heat.
(b) How much power must the plant supply, assuming there is negligible nower loss due to leakage?
(c) Characterise the step up transformer at the plant.
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