Electric Power Calculator — P=VI
Calculate electric power using P = V×I, P = I²R, or P = V²/R formulas.
What Is the Electric Power Calculator — P=VI?
The Electric Power Calculator computes electrical power from any two of the three fundamental electrical quantities: voltage (V), current (I), and resistance (R). It also calculates energy consumption in kilowatt-hours and estimates electricity cost.
Formula
How to Use
Choose which two values you know: voltage and current, voltage and resistance, or current and resistance. Enter the values with correct units. The calculator outputs power in watts (W), energy for a given time period in kWh, and optional electricity cost if you enter a rate per kWh.
Example Calculation
Kettle running at V=230V, I=10A: P = 230×10 = 2300 W = 2.3 kW. Running for 0.1 hours (6 minutes): Energy = 2.3 × 0.1 = 0.23 kWh. At $0.15/kWh: Cost = $0.034 per use.
Understanding Electric Power — P=VI
Electric power is the rate at which electrical energy is transferred or consumed. Measured in watts (W), it is determined by the product of voltage and current, or equivalently by current squared times resistance. Understanding power relationships is fundamental to circuit design, electrical safety, energy efficiency, and cost analysis.
The three power formulas (P=VI, P=I²R, P=V²/R) are all derived from Ohm's law and are interchangeable depending on which quantities are known. In practice, knowing any two of voltage, current, and resistance lets you calculate the third via Ohm's law, and then power from any of the three formulas.
Energy consumption — measured in kilowatt-hours (kWh) — is power multiplied by time. Understanding this relationship helps households reduce electricity bills by identifying high-consumption appliances, sizing solar panel systems, and evaluating efficiency upgrades. This calculator is useful for students learning circuit theory and for practical household energy audits.
Frequently Asked Questions
What is the difference between power (W) and energy (kWh)?
Power (watts) is the rate of energy use. Energy (kWh) is the total amount consumed over time. 1 kWh = using 1000W for 1 hour. Your electricity bill charges for energy, not power.
How do I calculate monthly electricity cost?
Monthly cost = Power(kW) × Hours per day × Days × Rate per kWh. A 100W bulb running 8hr/day at $0.15/kWh costs: 0.1 × 8 × 30 × 0.15 = $3.60/month.
What is Ohm's law?
Ohm's law states V = I × R (voltage = current × resistance). Combined with P = VI, it gives all three power formulas: P = VI = I²R = V²/R.
What is apparent vs real power in AC circuits?
In DC circuits, P = VI exactly. In AC circuits with reactive loads, apparent power (VA) ≠ real power (W). Real power = VA × power factor. This calculator computes real (DC or resistive AC) power.
Is this calculator free?
Yes, completely free with no sign-up required.
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