1. What is Single Phase Power Equation?

Definition: This equation calculates the real power in kilowatts (kW) for a single-phase AC electrical system.

Purpose: It helps electricians, engineers, and technicians determine the actual power consumption in single-phase circuits.

2. How Does the Equation Work?

The equation uses the formula:

Where:

• \( P_{kW} \) — Real power (kilowatts)
• \( V \) — Voltage (volts)
• \( I \) — Current (amperes)
• \( PF \) — Power factor (unitless, between 0 and 1)

Explanation: The product of voltage and current gives apparent power, which is then multiplied by the power factor to get real power, and divided by 1000 to convert to kilowatts.

3. Importance of Power Calculation

Details: Accurate power calculation ensures proper sizing of electrical components, energy efficiency analysis, and correct billing for electricity consumption.

4. Using the Calculator

Tips: Enter the voltage in volts, current in amps, and power factor (default 0.8). All values must be > 0, and power factor must be ≤ 1.

5. Frequently Asked Questions (FAQ)

Q1: What is power factor?
A: Power factor is the ratio of real power to apparent power, representing how effectively current is being converted into useful work.

Q2: What's a typical power factor value?
A: For most industrial loads, it's between 0.8-0.95. Residential loads typically range 0.75-0.9.

Q3: Why divide by 1000?
A: This converts the result from watts to kilowatts (1 kW = 1000 W).

Q4: Does this work for DC circuits?
A: For DC, use P = V × I (power factor is always 1 in pure DC circuits).

Q5: How does this differ from three-phase power calculation?
A: Three-phase power includes a √3 factor and may use line-to-line or line-to-neutral voltage.