ToolNestr

Electric Power Calculator

Solve electric power with P = V × I (or I²R, V²/R), then convert that power to energy over time and estimate what it costs to run.

Reviewed by the ToolNestr Editorial Team — July 2026

Disclaimer: This tool is provided for educational purposes to support learning in physics. It is not a substitute for professional engineering or safety-critical calculations.
Physics
Power
Current
Voltage

Power, visualized

Low power vs. high power bulb

A dim 40 W bulb (left) next to a bright 100 W bulb (right) — more watts means more light energy radiated per second.

Typical appliance power draw

Bar heights compare a few common devices — heat-producing appliances like kettles draw far more power than electronics.

Power graphs

Power vs voltage (fixed current) — a straight line, P = VI
Typical appliance power draw

How it works

The core idea in one line: power is how fast energy moves (P = VI, in watts); energy is power accumulated over time (kWh) — and energy, not power, is what you pay for.

P = V × I

power from voltage & current

P = I²R  =  V²/R

equivalent forms via Ohm’s law

E (kWh) = P (kW) × t (h)

energy over time

Cost = E × price/kWh

what the utility actually bills

Once you know power in watts, convert to kilowatts (÷1000) and multiply by hours run to get energy: E = P × t. Multiply that energy by your utility's price per kWh to get the cost — the same two-step chain behind every electricity bill line item.

Worked example 1 — electric kettle

Given: A 1500 W kettle runs for 15 minutes (0.25 h). Electricity costs $0.15 per kWh. Find the energy used and the cost.

Power in kW: P = 1500 W ÷ 1000 = 1.5 kW
Energy: E = P × t = 1.5 × 0.25 = 0.375 kWh
Cost: Cost = 0.375 × $0.15 = $0.05625 ≈ $0.06

Worked example 2 — LED bulb, a full day

Given: A 100 W bulb runs 5 hours per day. Electricity costs $0.12 per kWh. Find the daily energy and cost.

Power in kW: P = 100 W ÷ 1000 = 0.1 kW
Energy per day: E = P × t = 0.1 × 5 = 0.5 kWh
Cost per day: Cost = 0.5 × $0.12 = $0.06/day

Over a 30-day month that is 15 kWh and about $1.80 — a useful way to compare running costs across appliances.

Typical appliance power draw

Approximate, real devices vary by model — use these as reasonable reference points.

ApplianceTypical powerEnergy / hour
LED bulb10 W0.010 kWh
Laptop65 W0.065 kWh
Refrigerator150 W0.150 kWh
Microwave1000 W1.000 kWh
Electric kettle1500 W1.500 kWh
Space heater1500 W1.500 kWh

Multiply energy/hour by your utility’s price per kWh to estimate running cost.

Where electric power & energy cost actually matter

💰 Household energy bill estimation

Multiplying each appliance’s power by its daily hours of use and summing the kWh gives a realistic estimate of a monthly electricity bill — before the bill arrives.

🛒 Appliance efficiency shopping

Comparing wattage and expected annual kWh between two similar appliances (e.g. two refrigerator models) shows which one actually costs less to run over its lifetime, not just to buy.

☀️ Solar panel sizing

Sizing a solar array starts from total daily energy demand in kWh, built up from the power and run-time of every device the system needs to support.

🔌 EV charging cost

An EV charger’s power rating (kW) times charging hours gives the kWh added to the battery, which multiplied by the electricity price gives the cost of a full charge.

Common misconceptions

“Watts and watt-hours are the same unit.”

They measure different things. Watts (W) measure instantaneous power — the rate of energy use right now. Watt-hours (or kWh) measure energy — power accumulated over time. Your utility bills you for kWh, not W.

“A higher-voltage appliance always uses more power.”

Power depends on both voltage and current: P = V × I. A high-voltage device drawing little current can use less power than a low-voltage device drawing a lot of current. Voltage alone does not determine power.

“Leaving a device plugged in but off costs nothing.”

Many electronics draw small standby power even when “off.” It is usually just a few watts, but over months that adds measurable kWh — which is why it is called “phantom load.”

“Doubling the voltage doubles the power.”

Only true if current stays fixed. For a fixed resistance, P = V²/R — doubling voltage actually quadruples power, because current rises too (Ohm’s law).

Formula sources & further reading

The formulas here are standard, traceable to:

  • OpenStax, University Physics Volume 2 — electric power in circuits (free, peer-reviewed). openstax.org
  • Halliday, Resnick & Walker, Fundamentals of Physics — chapter on current, resistance, and power in circuits.
  • U.S. Energy Information Administration — electricity use and kWh billing basics.

Power = voltage × current (P = VI); energy = power × time; cost = energy × price per kWh. Results are rounded for display.

How to use this calculator

1

Pick the mode

“Power” solves P = V×I for any missing value; “Energy cost” converts watts and run-time into kWh and dollars.

2

Enter your values

Fill in the known fields — the calculator solves the rest live as you type.

3

Compare visually

The 3D diagrams show a dim vs. bright bulb and a bar comparison of typical appliance power draw.

Related tools

Frequently asked questions

What is electric power?

Electric power (P) is the rate at which electrical energy is transferred or converted, measured in watts (W). One watt is one joule per second. It tells you how fast a device consumes energy at any instant — not how much energy it uses in total.

How does P = VI relate to the other Ohm’s-law power forms?

P = VI is the base definition. Substituting Ohm’s law V = IR gives P = I²R (power from current and resistance), and substituting I = V/R gives P = V²/R (power from voltage and resistance). All three are algebraically identical and give the same answer for a resistive load.

How do I convert watts to kilowatt-hours?

Watts measure instantaneous power; kilowatt-hours (kWh) measure energy used over time. Divide power in watts by 1000 to get kilowatts, then multiply by the running time in hours: E (kWh) = P (kW) × t (h). A 1000 W device run for 1 hour uses exactly 1 kWh.

How is electricity actually billed?

Utilities bill for energy (kWh), not power (W). Your bill is Energy (kWh) × price per kWh. A high-power device used briefly can cost less than a low-power device left running for days, because cost tracks total energy, not peak wattage.

Why do some appliances draw far more power than others?

Devices that generate heat directly — kettles, heaters, toasters — convert electrical energy to heat with resistive elements and typically draw 1000–2000 W. Devices that just run electronics or motors (LED bulbs, laptops, refrigerators) draw far less, often under 100 W, because they are not fighting resistance to produce heat.

All tool categories

⚛️ Physics (48 tools)
🎚️ Ohm's Law Calculator⚖️ Density Calculator💥 Force Calculator (F=ma)🔋 Parallel Resistor Calculator🔧 Work Calculator (Physics)🏃 Kinetic Energy Calculator📈 Gravitational Potential Energy Calculator🎯 Momentum & Impulse Calculator🎱 Elastic Collision Calculator🧲 Inelastic Collision Calculator〰️ Wavelength Calculator🌍 Newton's Law of Gravitation Calculator🎯 Projectile Motion Calculator⬇️ Free Fall Calculator🔄 Uniform Circular Motion Calculator🥍 Impulse Calculator🔩 Torque Calculator🌪️ Angular Acceleration Calculator🪩 Moment of Inertia Calculator🪀 Centripetal Force Calculator📍 Average Velocity Calculator🚀 Acceleration Calculator🪂 Terminal Velocity Calculator🛰️ Escape Velocity Calculator🪐 Weight on Other Planets Calculator⚙️ Mechanical Efficiency Calculator🛞 Work-Energy Theorem Calculator⛴️ Buoyancy (Archimedes' Principle) Calculator🤿 Pressure Calculator🕰️ Simple Pendulum Period Calculator🌡️ Heat Transfer Calculator⚡ Coulomb's Law Calculator🔌 Series Resistor Calculator💡 Electric Power Calculator🔦 Snell's Law (Refraction) Calculator🔍 Thin Lens Equation Calculator🧯 Specific Heat Calculator🪫 Capacitance Calculator📡 Electric Field Calculator🚨 Doppler Effect Calculator🛸 Orbital Velocity Calculator🌀 Magnetic Force Calculator🎻 Simple Harmonic Motion Calculator🔊 Sound Intensity Calculator📏 Thermal Expansion Calculator🛩️ Bernoulli's Equation Calculator📻 Frequency Calculator🪞 Mirror Equation Calculator
🌐 Networking & IP Tools (36 tools)
🧮 Everyday (26 tools)
💪 Health & Fitness (30 tools)
💰 Finance (34 tools)
🔢 Math (23 tools)
📄 PDF Tools (10 tools)
🎨 Creators (12 tools)
💻 Developers (24 tools)
⚡ Engineering & Science (24 tools)
🧪 Chemistry (50 tools)
🧬 Biology (50 tools)
🏠 Construction & Home Improvement (105 tools)
👗 Clothing & Garment Tools (68 tools)
🍳 Cooking & Baking (9 tools)
🚗 Automotive (26 tools)
🖼️ Image Tools (13 tools)
🔐 Security & Hash (15 tools)
📝 Text Tools (15 tools)
🔍 SEO Tools (11 tools)
🔄 Converters (69 tools)
🕐 Time & Date (15 tools)
📊 Chart Generators (11 tools)
🕌 Islamic Tools (16 tools)