Kilowatt-hour to Quad Converter

Convert kilowatt-hours to quads with our free online energy converter.

Quick Answer

1 Kilowatt-hour = 3.412128e-12 quads

Formula: Kilowatt-hour × conversion factor = Quad

Use the calculator below for instant, accurate conversions.

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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: February 2026Reviewed by: Sam Mathew, Software Engineer

Kilowatt-hour to Quad Calculator

How to Use the Kilowatt-hour to Quad Calculator:

  1. Enter the value you want to convert in the 'From' field (Kilowatt-hour).
  2. The converted value in Quad will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Energy category.
  4. Click the swap button (⇌) to reverse the conversion direction.
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How to Convert Kilowatt-hour to Quad: Step-by-Step Guide

Converting Kilowatt-hour to Quad involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

quad = kWh × 3.41213e-12

Example Calculation:

1 kWh = 3.412128e-12 quad

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

What is a Kilowatt-hour and a Quad?

and Standards

The kilowatt-hour is defined as the energy equivalent of one kilowatt (1,000 watts) of power sustained for one hour:

1 kWh = 1,000 W × 1 hour = 3,600,000 joules = 3.6 megajoules

Precise Equivalents

  • 1 kWh = 3,600,000 J (exactly)
  • 1 kWh = 3.6 MJ (exactly)
  • 1 kWh = 1.341 horsepower-hours (mechanical)
  • 1 kWh = 859.845 kilocalories (thermochemical)
  • 1 kWh = 3,412.14 British thermal units (BTU)
  • 1 kWh = 2.655 × 10²² electronvolts

The kilowatt-hour is not an SI unit (the SI unit of energy is the joule), but it is explicitly accepted for use alongside SI units by the International Bureau of Weights and Measures (BIPM) due to its universal adoption in electrical energy metering and commerce.

Power vs. Energy: The Critical Distinction

Kilowatt (kW) measures power—the rate at which energy is being used or generated at a specific moment (analogous to speed on a speedometer).

Kilowatt-hour (kWh) measures energy—the total amount of energy used or generated over time (analogous to distance traveled on an odometer).

Relationship: Energy (kWh) = Power (kW) × Time (hours)

Example: A 2 kW space heater running for 3 hours consumes 2 kW × 3 h = 6 kWh of energy.

1 quad = 1.055×10¹⁸ joules (J)

Note: The Kilowatt-hour is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Quad belongs to the imperial/US customary system.

History of the Kilowatt-hour and Quad

and Evolution

The Birth of Electrical Metering (1880s-1890s)

The kilowatt-hour emerged from the practical needs of early electrical utilities. When Thomas Edison opened the Pearl Street Station in Manhattan in September 1882—the world's first commercial central power plant—he needed a way to bill customers for electricity consumption. Early meters measured current flow, but this didn't account for voltage or time, making fair billing difficult.

The breakthrough came with the development of the induction watt-hour meter by Oliver B. Shallenberger in 1888, working for Westinghouse. This electromechanical device used electromagnetic induction to rotate a disc at a speed proportional to power consumption, with the total rotations indicating energy consumed—directly measuring kilowatt-hours. This meter design, refined but fundamentally unchanged, remained the global standard for over a century until the recent transition to digital smart meters.

Standardization and the International Electrical Congress (1893)

The International Electrical Congress held during the 1893 World's Columbian Exposition in Chicago formally adopted standardized electrical units. While the joule was recognized as the scientific unit of energy, the kilowatt-hour was established as the practical unit for electrical power distribution and billing. This dual system—joules in science, kilowatt-hours in commerce—continues today.

Samuel Insull and Modern Utility Economics (1890s-1920s)

Samuel Insull, president of Chicago Edison Company (later Commonwealth Edison), revolutionized the electricity industry in the 1890s by implementing sophisticated pricing structures based on kilowatt-hour consumption. Insull pioneered:

  • Load factor optimization: Encouraging off-peak usage through lower kWh rates
  • Declining block rates: Lower per-kWh prices for higher consumption, incentivizing electrification
  • Demand charges: Separate charges for peak power demand (kW) versus energy consumption (kWh) for industrial customers

Insull's innovations made electricity affordable for middle-class households, transforming it from a luxury to a necessity and accelerating the electrification of America and the world.

The Electrification Revolution (1920s-1960s)

By the 1920s, the kilowatt-hour had become universal for electricity billing in industrialized nations. Rural electrification programs—such as the U.S. Rural Electrification Administration (1935)—brought kilowatt-hour metering to millions of farms and small towns. Post-World War II economic growth drove massive increases in electrical consumption, measured everywhere in kilowatt-hours.

Modern Era: Smart Meters and Real-Time kWh (2000s-Present)

The 21st century brought smart meters that measure kilowatt-hour consumption digitally, often in 15-minute or hourly intervals. These enable:

  • Time-of-use (TOU) pricing: Different per-kWh rates based on time of day
  • Real-time monitoring: Customers can track kWh usage in real time via apps
  • Demand response: Automated load reduction during peak demand
  • Net metering: Bidirectional kWh measurement for solar panel owners

Today, kilowatt-hours are also the standard unit for electric vehicle battery capacity, solar panel production, energy efficiency ratings, and carbon footprint calculations tied to electricity consumption.

Common Uses and Applications: kilowatt-hours vs quads

Explore the typical applications for both Kilowatt-hour (imperial/US) and Quad (imperial/US) to understand their common contexts.

Common Uses for kilowatt-hours

1. Electricity Billing (Residential, Commercial, Industrial)

The kilowatt-hour is the universal unit for billing electrical energy consumption worldwide. Your electric utility meter tracks cumulative kilowatt-hours, and your monthly bill reflects the total kWh consumed multiplied by your rate structure.

Typical billing components:

  • Energy charge: $0.08-0.35 per kWh (varies by location and utility)
  • Delivery/distribution charge: Often a separate per-kWh fee
  • Fixed charges: Monthly connection fees independent of kWh
  • Demand charges (commercial/industrial): Based on peak kW demand

Example bill calculation (900 kWh residential):

  • Energy: 900 kWh × $0.12 = $108.00
  • Delivery: 900 kWh × $0.04 = $36.00
  • Fixed charge: $10.00
  • Total: $154.00

2. Appliance Energy Efficiency Ratings

EnergyGuide labels in the US and Canada display estimated annual kilowatt-hour consumption:

  • Refrigerators: 300-700 kWh/year
  • Dishwashers: 200-400 kWh/year
  • Washing machines: 150-500 kWh/year

Energy Star certification requires appliances to use fewer kWh than standard models, typically 10-50% more efficient.

3. Electric Vehicle Specifications

EV manufacturers specify battery capacity in kilowatt-hours, directly comparable across all brands:

  • Small battery: 40-50 kWh (city cars, ~150-200 miles)
  • Medium battery: 60-75 kWh (mainstream EVs, ~250-300 miles)
  • Large battery: 85-100 kWh (luxury/performance EVs, ~350-400 miles)
  • Truck/SUV battery: 100-200+ kWh (heavy vehicles, towing capability)

Efficiency metric: Miles per kWh (analogous to miles per gallon for gasoline vehicles)

4. Solar and Renewable Energy Production

Solar installers and monitoring systems display production in kilowatt-hours:

  • Real-time production: "Currently generating 4.2 kW"
  • Daily total: "Produced 28 kWh today"
  • Lifetime total: "System has produced 47,500 kWh since installation"

Net metering: Bidirectional meters track both kWh consumed from the grid and kWh exported to the grid, with the difference billed (or credited) monthly.

5. Carbon Footprint Calculations

Carbon emissions from electricity are calculated using kilowatt-hour consumption multiplied by regional grid intensity:

Grid carbon intensity (kg CO₂ per kWh):

  • Coal-heavy grid: 0.8-1.0 kg CO₂/kWh (e.g., Wyoming, West Virginia)
  • US average: ~0.4 kg CO₂/kWh
  • Natural gas grid: 0.4-0.5 kg CO₂/kWh
  • Renewable-heavy grid: 0.02-0.1 kg CO₂/kWh (e.g., Iceland, Norway, Quebec)

Example: 900 kWh monthly consumption × 0.4 kg CO₂/kWh = 360 kg CO₂ = 0.36 metric tons CO₂ per month

6. Battery Storage Systems (Home and Grid)

Home battery storage (e.g., Tesla Powerwall) and grid-scale battery systems specify capacity in kilowatt-hours:

  • Tesla Powerwall 2: 13.5 kWh usable capacity
  • LG Chem RESU: 9.8-16 kWh
  • Sonnen eco: 5-15 kWh (modular)

Backup capability: A 13.5 kWh battery can power essential loads (refrigerator, lights, WiFi, phone charging) for 1-2 days during an outage.

When to Use quads

Used in physics, engineering, energy systems, and scientific calculations where this energy scale is appropriate for the application.

Additional Unit Information

About Kilowatt-hour (kWh)

How much does 1 kWh of electricity cost?

Electricity rates vary widely by location, utility, rate structure, and time of day:

US average (2024): $0.13-0.16 per kWh (residential)

By state (residential, wide variation):

  • Lowest: Louisiana (~$0.09/kWh), Oklahoma (~$0.10/kWh), Arkansas (~$0.10/kWh)
  • Highest: Hawaii (~$0.40/kWh), California (~$0.25-0.35/kWh), Massachusetts (~$0.24/kWh)
  • Typical ranges: Most states $0.10-0.18/kWh

International comparison:

  • Denmark: ~$0.40/kWh (highest in developed world)
  • Germany: ~$0.35/kWh
  • UK: ~$0.25-0.30/kWh (£0.20-0.24/kWh)
  • Canada: ~$0.08-0.12/kWh (varies by province)
  • China: ~$0.08/kWh (residential)

Commercial rates are typically 20-40% lower than residential ($0.08-0.12/kWh in US), while industrial rates are often 40-60% lower ($0.05-0.08/kWh) due to higher volumes and lower distribution costs.

Time-of-use (TOU) rates vary by time:

  • Off-peak (midnight-6am): $0.08-0.12/kWh
  • Mid-peak (daytime): $0.12-0.18/kWh
  • On-peak (5-9pm): $0.20-0.40/kWh

What is the difference between kW and kWh?

This is one of the most common sources of confusion in electricity:

Kilowatt (kW) measures POWER—the rate of energy use or generation at a specific instant.

  • Analogous to: Speed (miles per hour on speedometer)
  • Measures: How fast energy is being used right now
  • Example: "My air conditioner is currently drawing 3.5 kW"

Kilowatt-hour (kWh) measures ENERGY—the total amount of energy used or generated over time.

  • Analogous to: Distance (total miles traveled on odometer)
  • Measures: How much energy was used over a period
  • Example: "My air conditioner used 28 kWh today (3.5 kW × 8 hours)"

Relationship: Energy (kWh) = Power (kW) × Time (hours)

Another analogy: Think of filling a bathtub:

  • kW = flow rate (gallons per minute from faucet)
  • kWh = total water (total gallons in tub)
  • Fast flow × short time = Slow flow × long time = same total water

Billing distinction: You're billed for energy (kWh), not power (kW)—except for commercial "demand charges" based on peak kW.

How many kWh does an average home use per day?

US average: ~30 kWh per day (~900 kWh per month, ~10,800 kWh per year)

Breakdown by category (typical US home):

  • Heating/cooling: 40-45% (~12-14 kWh/day)
  • Water heating: 14-18% (~4-5 kWh/day)
  • Appliances: 25-30% (~8-9 kWh/day)
  • Lighting: 6-10% (~2-3 kWh/day)
  • Electronics: 5-8% (~2 kWh/day)

Variation by home type:

  • Apartment (500-800 sq ft): 15-20 kWh/day
  • Small house (1,000-1,500 sq ft): 20-25 kWh/day
  • Medium house (1,500-2,500 sq ft): 25-35 kWh/day
  • Large house (2,500-4,000 sq ft): 35-50 kWh/day
  • Very large home (4,000+ sq ft): 50-100+ kWh/day

Seasonal variation:

  • Winter (heating climate): 30-50 kWh/day
  • Spring/Fall: 20-30 kWh/day
  • Summer (cooling climate): 35-60 kWh/day

Geographic variation (US average by region):

  • South (Louisiana, Texas, Florida): 35-45 kWh/day (high AC usage)
  • West (California, Oregon): 20-30 kWh/day (mild climate)
  • Northeast (New York, Massachusetts): 25-30 kWh/day
  • Midwest (Illinois, Ohio): 28-35 kWh/day

How do I calculate my appliance's kWh usage?

Formula: kWh = (Watts ÷ 1,000) × Hours of use

Step-by-step:

  1. Find wattage: Check appliance label or manual (or use a Kill-A-Watt meter)
  2. Convert to kilowatts: Divide watts by 1,000
  3. Multiply by hours: Total hours of operation
  4. Result is kWh: Total energy consumed

Example 1 (Simple continuous use):

  • 60-watt light bulb
  • Used 5 hours per day
  • kWh per day = (60 ÷ 1,000) × 5 = 0.06 × 5 = 0.3 kWh
  • Monthly = 0.3 × 30 = 9 kWh
  • Cost = 9 kWh × $0.15 = $1.35 per month

Example 2 (Cycling appliance):

  • Refrigerator with 150-watt compressor
  • Runs ~8 hours per day (33% duty cycle)
  • kWh per day = (150 ÷ 1,000) × 8 = 0.15 × 8 = 1.2 kWh
  • Yearly = 1.2 × 365 = 438 kWh
  • Cost = 438 kWh × $0.15 = $65.70 per year

Example 3 (High-power short duration):

  • Electric oven, 3,000 watts
  • Used 1 hour per day
  • kWh per day = (3,000 ÷ 1,000) × 1 = 3 kWh
  • Monthly = 3 × 30 = 90 kWh
  • Cost = 90 kWh × $0.15 = $13.50 per month

Tip: For cycling appliances (refrigerators, AC, heaters), check EnergyGuide labels for actual annual kWh rather than calculating from power ratings.

How many kWh does it take to charge an electric vehicle?

Charging kWh depends on battery size and state of charge:

Formula: kWh needed = Battery capacity (kWh) × (% to charge ÷ 100) ÷ Charging efficiency

Charging efficiency: ~85-95% (some energy lost to heat)

Example 1 (Typical daily charging):

  • Tesla Model 3 Long Range (82 kWh battery)
  • Daily driving uses 40% of battery (33 kWh)
  • Charging efficiency: 90%
  • kWh from wall = 33 ÷ 0.90 = 36.7 kWh
  • Cost at $0.15/kWh = $5.50 per charge

Example 2 (Empty to full):

  • Nissan Leaf (62 kWh battery)
  • Charging from 10% to 100% (90% of capacity)
  • kWh needed = 62 × 0.90 = 55.8 kWh
  • With 90% efficiency = 55.8 ÷ 0.90 = 62 kWh
  • Cost at $0.12/kWh = $7.44 full charge

Charging levels:

  • Level 1 (120V, 12A): ~1.4 kW → ~1.4 kWh per hour (very slow)
  • Level 2 (240V, 32A): ~7.7 kW → ~7.7 kWh per hour (home charging)
  • DC Fast Charging: 50-350 kW → 50-350 kWh per hour (public fast charging)

Annual EV consumption (typical):

  • 12,000 miles per year ÷ 4 miles per kWh = 3,000 kWh per year
  • Cost at $0.15/kWh = $450 per year
  • Gasoline equivalent (25 MPG, $3.50/gal): 480 gallons = $1,680 per year
  • Savings: ~$1,200 per year

How many kilowatt-hours are in a gallon of gasoline?

Gasoline contains approximately 33.7 kWh of chemical energy per gallon (based on lower heating value).

However, internal combustion engines are only 20-30% efficient at converting this to mechanical work, while electric motors are 85-95% efficient.

Effective comparison:

  • 1 gallon gasoline = 33.7 kWh chemical energy
  • Usable mechanical energy = 33.7 × 0.25 (avg efficiency) = 8.4 kWh
  • Electric vehicle uses 8.4 kWh directly from battery = equivalent to ~1 gallon gasoline

Example: A 25 MPG gas car vs. 4 miles/kWh EV:

  • Gas car: 100 miles ÷ 25 MPG = 4 gallons = 134.8 kWh chemical energy (33.7 usable)
  • EV: 100 miles ÷ 4 mi/kWh = 25 kWh from battery
  • Efficiency advantage: EV uses ~25% of the energy (25 kWh vs. 100 kWh delivered fuel)

Cost comparison (at $3.50/gal gasoline, $0.15/kWh electricity):

  • Gas: 4 gallons × $3.50 = $14.00 per 100 miles
  • Electric: 25 kWh × $0.15 = $3.75 per 100 miles
  • Savings: $10.25 per 100 miles, or ~73% cheaper

What is a megawatt-hour (MWh) or gigawatt-hour (GWh)?

These are larger units used for industrial, utility, and national-scale energy:

Megawatt-hour (MWh): 1 MWh = 1,000 kWh

  • Scale: Enough for ~1.5 months of average US household consumption
  • Uses: Large commercial buildings, small industrial facilities, utility contracts
  • Example: A small office building might use 50-100 MWh per month

Gigawatt-hour (GWh): 1 GWh = 1,000 MWh = 1,000,000 kWh

  • Scale: Enough for ~100 US homes for one year
  • Uses: Large industrial plants, small utility service territories, data centers
  • Example: A medium-sized data center uses 10-50 GWh per year

Terawatt-hour (TWh): 1 TWh = 1,000 GWh = 1,000,000 MWh = 1,000,000,000 kWh

  • Scale: National and global electricity consumption
  • Example: California uses ~290 TWh per year; US total ~4,000 TWh per year

Power plant output example:

  • 1,000 MW (1 GW) nuclear plant running continuously for 1 year:
  • 1,000 MW × 8,760 hours/year = 8,760 GWh = 8.76 TWh

How accurate are electricity meters?

Modern electricity meters are extremely accurate:

Electromechanical meters (older spinning disc meters):

  • Accuracy: ±1-2% over most load ranges
  • More accurate at higher loads, less accurate at very low loads
  • Degrade slowly over time; calibrated to read slightly high initially

Digital smart meters (solid-state):

  • Accuracy: ±0.5-1% across all load ranges
  • Highly accurate even at very low loads (phantom/standby power)
  • Consistent accuracy over time (no mechanical wear)

Regulatory standards (US):

  • ANSI C12.20 Class 0.2: ±0.2% accuracy (revenue-grade meters)
  • Utilities must test meters periodically; out-of-spec meters must be replaced

Practical impact: A 1% error on a 1,000 kWh monthly bill = 10 kWh = $1-2 difference. Given meters tend to read slightly high, customers rarely underpay.

If you suspect meter error:

  1. Check for obvious high-consumption causes (always-on appliances, inefficient equipment)
  2. Turn off all breakers except one circuit; use a known load (e.g., 1,000W heater) and time it
  3. Request utility meter test (usually free or low-cost; if meter is faulty, utility pays; if accurate, small fee)

Can I run my house on a generator? How many kWh?

Generator sizing: Based on power (kW), not energy (kWh)

Average home needs:

  • Essential loads only (fridge, lights, electronics): 2-4 kW
  • Partial home (add well pump, sump pump, furnace): 5-7 kW
  • Whole home without AC: 8-12 kW
  • Whole home with central AC: 15-22 kW

Fuel consumption and kWh:

  • Portable generators: ~0.5-0.75 gallons/hour per kW output
  • Example: 5 kW generator at 50% load (2.5 kW) uses ~1.5 gal/hr
  • Running 8 hours = 12 gallons = 12 × 33.7 kWh = 404 kWh chemical → ~100 kWh electrical @ 25% efficiency

Cost comparison:

  • Grid electricity: 100 kWh × $0.15 = $15.00
  • Generator: 12 gallons × $3.50/gal = $42.00 (plus maintenance, noise, emissions)

Battery backup alternative: A 13.5 kWh Tesla Powerwall can provide 13.5 kWh of energy (enough for essential loads for 1-2 days during outage), recharged by solar or grid.

How many solar panels do I need to generate X kWh?

Solar panel output: 250-400 watts per panel (newer panels ~350-400W)

Production formula: kWh = Panel wattage (kW) × Peak sun hours × System derate

Peak sun hours (daily average, varies by location and season):

  • Southwest US (Arizona, Nevada): 5.5-7 hours
  • California: 5-6 hours
  • Southern US: 4.5-5.5 hours
  • Northern US: 3.5-4.5 hours

System derate factor: ~0.75-0.80 (accounts for inverter efficiency, shading, temperature, wiring losses)

Example 1 (30 kWh per day in Arizona):

  • Target: 30 kWh/day
  • Location: Phoenix (6 peak sun hours)
  • System needed: 30 ÷ (6 × 0.77) = 6.5 kW system
  • Number of 350W panels: 6,500 W ÷ 350 W/panel = 19 panels
  • Annual production: 30 kWh/day × 365 = 10,950 kWh/year

Example 2 (900 kWh per month in Massachusetts):

  • Target: 900 kWh/month = 30 kWh/day
  • Location: Boston (4 peak sun hours)
  • System needed: 30 ÷ (4 × 0.77) = 9.7 kW system
  • Number of 350W panels: 9,700 W ÷ 350 W/panel = 28 panels

Rule of thumb: In average US locations (4.5 peak sun hours), a 1 kW system produces ~1,300-1,500 kWh per year.

About Quad (quad)

How do I convert quad to joules?

Formula: J = quad × 1.055×10¹⁸

Quad to Joules converter →

How do I convert quad to kWh?

To convert to kilowatt-hours, first convert to joules, then divide by 3,600,000.

Quad to kWh converter →

What is Quad used for?

Quad is used in contexts where the energy scale makes it convenient compared to very large or very small joule values. It provides a practical measurement unit for specific applications.

Conversion Table: Kilowatt-hour to Quad

Kilowatt-hour (kWh)Quad (quad)
0.50
10
1.50
20
50
100
250
500
1000
2500
5000
1,0000

People Also Ask

How do I convert Kilowatt-hour to Quad?

To convert Kilowatt-hour to Quad, enter the value in Kilowatt-hour in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our energy converter page to convert between other units in this category.

Learn more →

What is the conversion factor from Kilowatt-hour to Quad?

The conversion factor depends on the specific relationship between Kilowatt-hour and Quad. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Quad back to Kilowatt-hour?

Yes! You can easily convert Quad back to Kilowatt-hour by using the swap button (⇌) in the calculator above, or by visiting our Quad to Kilowatt-hour converter page. You can also explore other energy conversions on our category page.

Learn more →

What are common uses for Kilowatt-hour and Quad?

Kilowatt-hour and Quad are both standard units used in energy measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our energy converter for more conversion options.

For more energy conversion questions, visit our FAQ page or explore our conversion guides.

All Energy Conversions

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Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Reference on Constants, Units and Uncertainty

National Institute of Standards and TechnologyFundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et MesuresInternational System of Units (SI) definitions and standards

ISO 80000

International Organization for StandardizationQuantities and units international standards series

Last verified: February 19, 2026