Power Factor 4

Electricity and Magnetism Level 2

A household consists of the following loads:

  • A 1.5 kW pump running at a power factor of 0.7
  • 1 kW light globes running at a power factor of 0.7

It is safe to assume the power factor will

Hint: Imagine two loads, modeled as globes functioning at a power factor of 0.7 each. Calculate and don't just assume.

Decrease due to the combined load Stay constant due to the combined load Increase due to the combined load

Brandon Louw by Brandon Louw , 29, South Africa

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1 solution

Brandon Louw
Jun 19, 2016
  • S1 = 1500 0.7 \frac{1500}{0.7}
  • S1 = 2142.85 VA
  • S2 = 1000 0.7 \frac{1000}{0.7}
  • S2 = 1428.57 VA
  • Q1 = 1530.3 VAr
  • Q2 = 1020.2 VAr
  • St = 2500 + 2550.5i
  • pf = cos(arctan( 2500.2 2550.3 \frac{2500.2}{2550.3} )
  • pf = 0.714 > 0.7
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