Amp Hour to Watt Hour Converter
Convert Ah to Wh instantly for batteries and energy systems
Ah
Quick Conversions (12V)
Conversion Formula
The conversion from amp hours to watt hours requires knowing the battery voltage:
Wh = Ah × V
Where: Wh = Watt Hours, Ah = Amp Hours, V = Voltage
Calculation Steps
- Identify the amp hour (Ah) rating of your battery
- Determine the voltage (V) of your battery system
- Multiply the amp hours by the voltage
- The result is the energy capacity in watt hours (Wh)
Example Calculations
Example 1: A 12V battery with 100Ah capacity
Wh = 100Ah × 12V = 1,200Wh
Example 2: A 48V battery with 20Ah capacity
Wh = 20Ah × 48V = 960Wh
Example 3: A 3.7V lithium cell with 2.5Ah capacity
Wh = 2.5Ah × 3.7V = 9.25Wh
Conversion Tables
12V Battery Conversions
| Amp Hours (Ah) | Voltage (V) | Watt Hours (Wh) | Kilowatt Hours (kWh) |
|---|---|---|---|
| 1 Ah | 12V | 12 Wh | 0.012 kWh |
| 5 Ah | 12V | 60 Wh | 0.06 kWh |
| 7.5 Ah | 12V | 90 Wh | 0.09 kWh |
| 10 Ah | 12V | 120 Wh | 0.12 kWh |
| 20 Ah | 12V | 240 Wh | 0.24 kWh |
| 50 Ah | 12V | 600 Wh | 0.6 kWh |
| 100 Ah | 12V | 1,200 Wh | 1.2 kWh |
| 200 Ah | 12V | 2,400 Wh | 2.4 kWh |
| 300 Ah | 12V | 3,600 Wh | 3.6 kWh |
| 500 Ah | 12V | 6,000 Wh | 6.0 kWh |
24V Battery Conversions
| Amp Hours (Ah) | Voltage (V) | Watt Hours (Wh) | Kilowatt Hours (kWh) |
|---|---|---|---|
| 1 Ah | 24V | 24 Wh | 0.024 kWh |
| 5 Ah | 24V | 120 Wh | 0.12 kWh |
| 10 Ah | 24V | 240 Wh | 0.24 kWh |
| 20 Ah | 24V | 480 Wh | 0.48 kWh |
| 50 Ah | 24V | 1,200 Wh | 1.2 kWh |
| 100 Ah | 24V | 2,400 Wh | 2.4 kWh |
| 200 Ah | 24V | 4,800 Wh | 4.8 kWh |
| 300 Ah | 24V | 7,200 Wh | 7.2 kWh |
| 500 Ah | 24V | 12,000 Wh | 12.0 kWh |
48V Battery Conversions
| Amp Hours (Ah) | Voltage (V) | Watt Hours (Wh) | Kilowatt Hours (kWh) |
|---|---|---|---|
| 1 Ah | 48V | 48 Wh | 0.048 kWh |
| 5 Ah | 48V | 240 Wh | 0.24 kWh |
| 10 Ah | 48V | 480 Wh | 0.48 kWh |
| 20 Ah | 48V | 960 Wh | 0.96 kWh |
| 50 Ah | 48V | 2,400 Wh | 2.4 kWh |
| 100 Ah | 48V | 4,800 Wh | 4.8 kWh |
| 200 Ah | 48V | 9,600 Wh | 9.6 kWh |
| 300 Ah | 48V | 14,400 Wh | 14.4 kWh |
| 500 Ah | 48V | 24,000 Wh | 24.0 kWh |
Visual Comparison
Small Battery
10 Ah
at 12V
120 Wh
Medium Battery
100 Ah
at 12V
1,200 Wh
Large Battery
200 Ah
at 24V
4,800 Wh
EV Battery
100 Ah
at 400V
40,000 Wh
Practical Applications
- Solar Power Systems: Calculate energy storage capacity for off-grid solar installations and backup power systems
- Electric Vehicles: Determine driving range by converting battery capacity to total energy available
- RV & Marine: Size battery banks for recreational vehicles, boats, and mobile living applications
- Backup Power: Select appropriate uninterruptible power supply (UPS) systems for critical equipment
- Portable Electronics: Compare power banks and battery packs across different voltage ratings
- Power Stations: Evaluate portable power station capacity for camping and emergency preparedness
- Battery Testing: Assess actual vs. rated capacity when testing battery health and performance
- Energy Management: Calculate daily energy consumption and storage needs for sustainable living
Key Differences
| Aspect | Amp Hours (Ah) | Watt Hours (Wh) |
|---|---|---|
| Definition | Measures electric charge capacity | Measures total energy capacity |
| Formula | Current × Time | Power × Time or Voltage × Ah |
| Voltage Dependent | No | Yes |
| Best For | Comparing same voltage batteries | Comparing different voltage systems |
| Real-World Use | Battery specifications | Actual energy available |
| Calculation | Directly from battery rating | Requires voltage information |
Frequently Asked Questions
What is the difference between Ah and Wh?
Amp hours (Ah) measure the charge capacity of a battery, indicating how much current it can supply over time. Watt hours (Wh) measure the actual energy capacity by factoring in voltage. A 100Ah battery at 12V stores 1,200Wh of energy, while the same 100Ah at 24V stores 2,400Wh.
Why do I need to know the voltage for conversion?
Voltage is essential because it determines the actual energy available. Two batteries with identical Ah ratings but different voltages contain vastly different amounts of energy. The formula Wh = Ah × V shows that energy scales directly with voltage.
How do I convert Wh back to Ah?
To convert watt hours to amp hours, divide the watt hours by the voltage: Ah = Wh ÷ V. For example, a 600Wh battery at 12V has 50Ah capacity (600Wh ÷ 12V = 50Ah).
Which measurement is more accurate for battery capacity?
Watt hours provide a more accurate representation of actual energy capacity because they account for voltage. This makes Wh better for comparing batteries of different voltages, while Ah is sufficient for comparing batteries at the same voltage.
How long will a battery last?
Divide the watt hours by your device’s power consumption in watts. For example, a 1,200Wh battery powering a 100W device will last approximately 12 hours (1,200Wh ÷ 100W = 12 hours). Account for efficiency losses in real applications.
What is a kilowatt hour (kWh)?
A kilowatt hour equals 1,000 watt hours. To convert Wh to kWh, divide by 1,000. For instance, 2,400Wh = 2.4kWh. Utility companies typically bill electricity in kWh.
Does temperature affect these conversions?
The mathematical conversion remains the same, but actual battery performance varies with temperature. Cold temperatures reduce available capacity while heat can increase discharge rates. Always consider operating conditions when sizing battery systems.
Can I add batteries to increase Wh capacity?
Yes. Batteries in parallel add their Ah ratings (increasing Wh at the same voltage), while series connections add voltages (also increasing total Wh). For example, two 100Ah 12V batteries in parallel = 200Ah at 12V = 2,400Wh. In series = 100Ah at 24V = 2,400Wh.
References
- NPP Lithium Battery Research Center. “Amp Hours to Watt Hours Conversion Calculator.” Journal of Battery Technology and Energy Storage Systems.
- International Electrotechnical Commission (IEC). “IEC 61960: Secondary cells and batteries containing alkaline or other non-acid electrolytes.”
- Battery University. “How to Measure Capacity: Capacity measurement methods for rechargeable batteries.” Educational Resource on Battery Technology.
- U.S. Department of Energy, Office of Energy Efficiency & Renewable Energy. “Battery Storage Technology Review.”
- Institute of Electrical and Electronics Engineers (IEEE). “IEEE Standard 1725: Rechargeable batteries for cellular telephones.”
