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For circuits used for transporting electric power, a low power factor implies _____.

Asked in GSEB Board March 2023 · Power factor

Answer: (4) large power loss in transmission

Step-by-step solution

Power delivered: P=VᵣₘₛIᵣₘₛ cos φ.

For a fixed power P at a fixed voltage V, the current needed is I=P/(V cos φ).

A low power factor cos φ therefore means a large current in the line.

The line has resistance R, so the heat lost in it is I²R=(P²R)/(V² cos²φ).

So a low power factor implies a large power loss in transmission.

Why the other options are wrong

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