Answer :

Given:

Power: P = 1 MW = 10^{6} W

Radius of the Cu wires: r = 0.5 cm = 0.005 m

Voltage :V = 220V

Voltage boosted by step up transformer: V_{1} = 11000 V

Resistivity of Cu wire: ρ_{cu} = 1.7 × 10^{-8} SI unit

Formula used:

(i)

Power is given as

P = VI

Here, V is the voltage and I is the current.

At V= 220 V

Also,

Here, R is the resistance of the wire, ρ is the resistivity of the wire, A is the area of cross section and l is the length of the wire.

Here, l= 10km× 2 = 20000 m

Now, Power loss = I^{2}R

We see that Power loss is way more than power delivered to the town, which is not feasible.

(ii)

Voltage boosted to 11000 V

Current becomes

Resistance would remain the same,

Thus power loss would be

Fraction of power loss would be in %

Here, Power loss is minimal.

Hence it is feasible.

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