Answer :
Given:
Power: P = 1 MW = 106 W
Radius of the Cu wires: r = 0.5 cm = 0.005 m
Voltage :V = 220V
Voltage boosted by step up transformer: V1 = 11000 V
Resistivity of Cu wire: ρcu = 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 = I2R
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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