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The load shown in the figure absorbs 4 kW at a power factor of 0.89 lagging.
Assuming the transformer to be ideal, the value of the reactance X to improve the input power factor to unity is ___________.
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- 24
- 12
- 28
- 18
Correct Option: A
Given, V2 = 110
Load power, P2 = 4 kW
pf = cos θ2 = 0.89
| I2 = | ||
| V2 × cos θ2 |
| = | = 40.858 A | |
| 110 × 0.89 |
primary current, I1 = K I2
| = |  |  | I2 | ||
| N1 |
| = | × 40.858 = 20.429 A A | |
| 2 |
To improve input power factor units,
| Reactive power φ = | ||
| X |
| ∴ Reactance , X = | ||
| φ |
| = | = 23.6 Ω | |
| 220 × 20.429 × sin (27) |
