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Formula for Power in AC Circuit

AC Power Formula:

\[ P = V_{rms} \times I_{rms} \times PF \]

volts
amps
watts

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1. What is AC Power Calculation?

Definition: This calculator computes the real power in an AC circuit based on RMS voltage, RMS current, and power factor.

Purpose: It helps electrical engineers and technicians determine the actual power consumption in AC systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = V_{rms} \times I_{rms} \times PF \]

Where:

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

3. Importance of AC Power Calculation

Details: Accurate power calculation ensures proper sizing of electrical components, energy efficiency, and cost-effective system design.

4. Using the Calculator

Tips: Enter the RMS voltage in volts, RMS current in amps, and power factor (default 1.0 for purely resistive loads). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is power factor?
A: Power factor is the ratio of real power to apparent power, representing the phase difference between voltage and current.

Q2: What's a typical power factor value?
A: For resistive loads it's 1.0, for inductive loads (like motors) typically 0.8-0.9, and for capacitive loads it can lead.

Q3: Why use RMS values?
A: RMS (root mean square) values represent the equivalent DC values that would produce the same power dissipation.

Q4: How do I measure RMS voltage/current?
A: Use a true-RMS multimeter or calculate from peak values (Vrms = Vpeak/√2 for sine waves).

Q5: Does this include reactive power?
A: No, this calculates only real power. For apparent power, omit the power factor; for reactive power, use Q = V×I×sin(θ).

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