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Losses are I squared R,

or proportional to the square of the current.

For a given power, the higher the voltage, the lower the current.

Answer

It is a myth that the primary reason for transmitting electrical energy at high voltages is 'to reduce line losses'. This is certainly one of the advantages of doing so, but not the main reason. The primary reason is to limit the voltage drop along the line to realistic values -at lower voltages, the voltage drops would be absolutely enormous, making energy transmission impossible. The secondary reason is the enable cables of manageable cross-sectional area and weight to be utilised.

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