Question

Derivation of power factor?​

Answer 1

Answer:

$<font color ="blue">$ ✨ Hearthacker011 ✨

Explanation:

We saw in our tutorial about Electrical Power that AC circuits which contain resistance and capacitance or resistance and inductance, or both, also contain real power and reactive power. So in order for us to calculate the total power consumed, we need to know the phase difference between the sinusoidal waveforms of the voltage and current.

We can take this idea one step further by converting the impedance triangle into a power triangle representing the three elements of power in an AC circuit. Ohms Law tells us that in a DC circuit, power (P), in watts, is equal to the current squared (I2) times the resistance (R). So we can multiply the three sides of our impedance triangle above by I2 to obtain the corresponding power triangle as:

Real Power P = I2R Watts, (W)

Reactive Power Q = I2X Volt-amperes Reactive, (VAr)

Apparent Power S = I2Z Volt-amperes, (VA)