Assuming constant transmission efficiency, if voltage is increased ‘n’ times, the size of the conductor would be

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SSC JE EE Previous Year Paper 20 (Held On: 25 May 2014 Evening)
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  1. Reduced to 1/n2 that of the original
  2. Increased to n2 that of the original
  3. Reduced to 1/n that of the original
  4. Increased to n times that of the original

Answer (Detailed Solution Below)

Option 1 : Reduced to 1/n2 that of the original
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If we want to transmit the same number of watts, the current will be \(\frac{1}{n}\) when the voltage is increased by n.

For the same amount of loss, the new diameter of the wire will be 1/n.

The amount of copper will be \(~\frac{1}{{{n}^{2}}}\)

So, when voltage is increased by n times then for same efficiency size of conductor is reduced to \(\frac{1}{{{n}^{2}}}~\) that of the original.
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