## Reactive Power Calculator:

Enter the values of apparent power, AP_{(VA)} and total real power, TP_{(W)} to determine the value of Reactive power, RP_{(VAR)}.

__Reactive Power Formula:__

__Reactive Power Formula:__

Reactive power is the component of alternating current (AC) electricity that does not perform any actual work but is essential for maintaining the voltage levels necessary for the proper functioning of electrical equipment.

It oscillates between the source and the load, storing and releasing energy in the form of magnetic and electric fields.

In practical terms, reactive power is essential for the functioning of AC circuits, particularly in inductive loads such as motors and transformers, which require a magnetic field to operate.

It affects the phase angle between the voltage and current, with a higher reactive power indicating a larger phase difference. Managing reactive power is crucial for improving the efficiency of power systems, as it can lead to increased losses and reduced capacity if not properly controlled.

Power factor correction is a common technique used to reduce reactive power and improve system efficiency.

Reactive power, RP_{(VAR)} in volt-amperes reactive is calculated by the square root of difference of square of apparent power, AP_{(VA)} in volt-amperes and square of total real power, TP_{(W)} in watts.

Reactive power, RP_{(VAR)} = √( AP^{2}_{(VA)} – TP^{2}_{(W)})

RP_{(VAR)} = reactive power in volt-amperes reactive, VAR.

AP_{(VA)} = apparent power in volt-amperes, VA.

TP_{(W)} = total real power in watts, W.

__Reactive Power Calculation:__

__Reactive Power Calculation:__

- Calculate the reactive power for a circuit with an apparent power of 250 VA and a real power of 200 W.

Given: AP_{(VA)} = 250 VA, TP_{(W)} = 200W.

Reactive power, RP_{(VAR)} = √( AP^{2}_{(VA)} – TP^{2}_{(W)})

RP_{(VAR)} = √(250^{2} – 200^{2})

RP_{(VAR)} = √(62500 – 40000)

RP_{(VAR)} = √22500

RP_{(VAR)} = 150VAR.

- Suppose a circuit has a reactive power of 120 VAR and a real power of 160 W. Calculate the apparent power.

Given: RP_{(VAR)} = 120VAR, TP_{(W)} = 160W.

Reactive power, RP_{(VAR)} = √( AP^{2}_{(VA)} – TP^{2}_{(W)})

AP_{(VA)} = √( TP^{2}_{(W)} + RP^{2}_{(VAR)})

AP_{(VA)} = √(160^{2} + 120^{2})

AP_{(VA)} = √(25600 + 14400)

AP_{(VA)} = √40000

AP_{(VA)} = 200VA.