If the current flow through a transmission line is doubled, the resultant power loss would be increased _____.

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Multiple Choice

If the current flow through a transmission line is doubled, the resultant power loss would be increased _____.

Explanation:
Power loss in a transmission line due to resistance grows with the square of the current. So when the current doubles, the loss becomes (2I)²R = 4I²R, which is four times the original loss. That fourfold increase reflects the I² relationship. The linear option would only apply if loss were proportional to I, an eightfold rise would require a higher-than-square dependence, and no change would mean no current effect, which isn’t the case here.

Power loss in a transmission line due to resistance grows with the square of the current. So when the current doubles, the loss becomes (2I)²R = 4I²R, which is four times the original loss. That fourfold increase reflects the I² relationship. The linear option would only apply if loss were proportional to I, an eightfold rise would require a higher-than-square dependence, and no change would mean no current effect, which isn’t the case here.

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