Power Systems Standard Battery Capacity Formulas Precision Estimator

Wh to Ah Calculator

Convert Watt-hours (Wh) to Ampere-hours (Ah) and Ah to Wh quickly and accurately. Determine battery capacity, runtime, and energy storage for 12V, 24V, 48V, and lithium battery systems.

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Wh to Ah Calculator

How to Use the Wh to Ah Calculator

Converting Watt-hours (Wh) to Ampere-hours (Ah) is essential when sizing batteries for solar power systems, RV camper vans, or portable power stations. Follow these simple steps:

  1. 1
    Enter Energy (Wh): Input the total energy in Watt-hours.
  2. 2
    Enter Battery Voltage (V): Input the nominal battery system voltage (e.g. 12V, 24V, 48V).
  3. 3
    Click Calculate to Ah: Click the button to calculate battery capacity in Ampere-hours.
  4. 4
    Review Amp-Hour Rating: View the resulting battery capacity output in Ah.

How to Convert Wh to Ah (Sizing Guide)

Watt-hours (Wh) measure total energy capacity, whereas Ampere-hours (Ah) measure electric charge capacity at a specific operating voltage. Dividing energy by battery voltage yields charge capacity: Ah = Wh ÷ V.

Real-Life Wh to Ah Sizing Scenarios

Scenario 1: Portable Power Station Sizing
A solar power station stores 2,560 Wh of energy using a 12.8V LiFePO4 battery pack:
Ah = 2560 Wh ÷ 12.8 V = 200 Ah

Scenario 2: E-Bike Battery Sizing
An electric bicycle battery pack is rated for 500 Wh at 36V nominal:
Ah = 500 Wh ÷ 36 V = 13.89 Ah

Step-by-Step Sizing Guide & Formulas

Wh to Ah Formula:
Ah = Wh ÷ V

Step 1: Identify energy (Wh = 240 Wh) and battery voltage (V = 12V).

Step 2: Substitute parameters into the formula: Ah = 240 ÷ 12 = 20 Ah.

Final Answer: 240 Wh equals 20 Ah at 12 Volts.

Wh to Ah Sizing Reference Table

The lookup table below details converted Ampere-hours (Ah) across standard Watt-hour (Wh) battery ratings for 12V, 24V, and 48V systems:

Energy (Wh) Capacity at 12V Capacity at 24V Capacity at 48V
100 Wh8.33 Ah4.17 Ah2.08 Ah
240 Wh20.00 Ah10.00 Ah5.00 Ah
500 Wh41.67 Ah20.83 Ah10.42 Ah
1,000 Wh (1kWh)83.33 Ah41.67 Ah20.83 Ah
1,200 Wh100.00 Ah50.00 Ah25.00 Ah
2,560 Wh200.00 Ah (12.8V)100.00 Ah (25.6V)50.00 Ah (51.2V)

2560 wh to ah

A 2,560 Wh battery (common in 2.5 kWh portable solar power stations) converts to Ampere-hours based on operating voltage:

  • At 12.8V LiFePO4: 2560 Wh ÷ 12.8 V = 200 Ah
  • At 25.6V LiFePO4: 2560 Wh ÷ 25.6 V = 100 Ah
  • At 51.2V LiFePO4: 2560 Wh ÷ 51.2 V = 50 Ah

1000 wh to ah

1,000 Wh (1 kWh) represents standard capacity for solar generators and solar backup batteries:

  • At 12V System: 1000 Wh ÷ 12 V = 83.33 Ah
  • At 24V System: 1000 Wh ÷ 24 V = 41.67 Ah
  • At 48V System: 1000 Wh ÷ 48 V = 20.83 Ah

100 wh to ah

100 Wh is the maximum battery size allowed in carry-on luggage on commercial airlines without special approval:

  • At 5V Power Bank: 100 Wh ÷ 5 V = 20 Ah (20,000 mAh)
  • At 3.7V Single Cell: 100 Wh ÷ 3.7 V = 27.03 Ah (27,027 mAh)
  • At 12V Battery: 100 Wh ÷ 12 V = 8.33 Ah

Frequently Asked Questions (FAQs)

The number of Watt-hours (Wh) in an Ampere-hour (Ah) depends directly on system operating voltage, governed by the formula Wh = Ah × Voltage. For example, 1 Ah at 12V equals 12 Wh, whereas 1 Ah at 24V equals 24 Wh, and 1 Ah at 48V equals 48 Wh. Without specifying the nominal battery voltage, an Ampere-hour rating alone cannot be converted into Watt-hours.

To convert Watt-hours (Wh) into Ampere-hours (Ah), divide the total stored energy in Watt-hours by nominal battery voltage using Ah = Wh ÷ V. For instance, a 500 Wh portable solar power station operating on a 12V DC system delivers 500 ÷ 12 = 41.67 Ah of capacity. If the same 500 Wh generator uses a 36V e-bike battery pack, it equals 13.89 Ah.

A 100Ah battery rating converts to Watt-hours by multiplying by the battery's nominal voltage. A standard 12V 100Ah lead-acid or AGM battery yields 100 Ah × 12 V = 1,200 Wh (1.2 kWh). A 12.8V 100Ah LiFePO4 lithium battery yields 1,280 Wh (1.28 kWh). A 24V 100Ah battery bank yields 2,400 Wh (2.4 kWh), and a 48V 100Ah server rack battery delivers 4,800 Wh (4.8 kWh).

To convert between Wh and Ah, you must incorporate system voltage. Multiply Ah by voltage to calculate Wh (e.g. 1 Ah at 24V equals 24 Wh). Conversely, divide Wh by voltage to calculate Ah (e.g. 120 Wh divided by 12V equals 10 Ah). This linear relationship explains why higher-voltage battery systems require lower Ah ratings for identical total energy storage.

A 4 Ah battery rating converts to Wh depending on voltage. In a 12V power tool battery pack, 4 Ah equals 4 × 12 = 48 Wh. In an 18V power tool battery pack, 4 Ah equals 4 × 18 = 72 Wh. In a single 3.7V smartphone lithium-ion cell, 4 Ah (4,000 mAh) equals 4 × 3.7 = 14.8 Wh.

A 256 Wh battery bank operating on a 12.8V LiFePO4 (Lithium Iron Phosphate) chemistry yields 256 ÷ 12.8 = 20 Ah of charge capacity. If connected across a standard 12V lead-acid system, 256 Wh produces 256 ÷ 12 = 21.33 Ah.

A 120Ah battery rated at a nominal 12 Volts stores 120 Ah × 12 V = 1,440 Wh (1.44 kWh) of energy. If the 120Ah battery is a 24V marine bank, total energy capacity equals 120 × 24 = 2,880 Wh (2.88 kWh).

At 12V DC, 160 Wh equals 160 ÷ 12 = 13.33 Ah. In a 14.8V drone or camera battery, 160 Wh equals 160 ÷ 14.8 = 10.81 Ah. Note that 160 Wh is the absolute maximum battery size allowed on commercial flights under FAA/ICAO regulations with airline approval.

Wh and Ah measure different physical properties and cannot be directly compared without knowing voltage. Ampere-hours (Ah) measure electric charge capacity, whereas Watt-hours (Wh) measure total stored electrical energy. Wh provides a true universal energy comparison across different battery voltages; for example, a 12V 100Ah battery (1,200 Wh) stores twice as much energy as a 12V 50Ah battery (600 Wh).

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