A small town with a demand of 900 text{ kW} o | vedclass

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(B) Step $1$: Calculate the total resistance of the two-wire line.Length of the line $l = 20 	ext{ km} = 20000 	ext{ m}$.Since there are two wires,

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(B) Step $1$: Calculate the total resistance of the two-wire line.Length of the line $l = 20 	ext{ km} = 20000 	ext{ m}$.Since there are two wires, total length $L = 2 	imes 20000 	ext{ m} = 40000 	ext{ m}$.Resistance per unit length $r = 5 	imes 10^{-4} 	ext{ } \Omega 	ext{ m}^{-1}$.Total resistance $R = L 	imes r = 40000 	imes 5 	imes 10^{-4} = 20 	ext{ } \Omega$.Step $2$: Calculate the current flowing through the transmission line.The power $P = 900 	ext{ kW} = 9 	imes 10^5 	ext{ W}$ is transmitted at $V = 45000 	ext{ V}$.$I = \frac{P}{V} = \frac{9 	imes 10^5}{45000} = \frac{900000}{45000} = 20 	ext{ A}$.Step $3$: Calculate the power loss in the line.Power loss $P_{	ext{loss}} = I^2 R = (20)^2 	imes 20 = 400 	imes 20 = 8000 	ext{ W} = 8 	ext{ kW}$.

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