An industrial load with an operating voltage of 480/0° V is connected to the power system. The load absorbs 120 kW with a lagging power factor of 0.77. Determine the size of the capacitor in vars that is necessary to raise the power factor to 0.9 lagging.

Explanation:

From the question we are told that:

Voltage

Power

Initial Power factor

Final Power factor

Generally the equation for Reactive Power is mathematically given by

Q=P(tan \theta_2-tan \theta_1)

Since

And

Therefore

Therefore

The size of the capacitor in vars that is necessary to raise the power factor to 0.9 lagging is

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