Watt-Hours (Wh) to Amp-Hours (Ah) Calculator

How to Convert Watt-Hours to Amp-Hours

Converting Watt-Hours (Wh) to Amp-Hours (Ah) is a common calculation in battery and energy storage applications. This conversion helps in determining the capacity of a battery in terms of Amp-Hours when given the energy in Watt-Hours and the battery voltage. Understanding this relationship is crucial for analyzing battery performance, sizing energy storage systems, and comparing different battery options.

Conversion Formula

The formula to convert Watt-Hours to Amp-Hours is:

\[Ah = \frac{Wh}{V}\]

Where:

• Ah is the battery capacity in Amp-Hours
• Wh is the energy in Watt-Hours
• V is the battery voltage in Volts

Calculation Steps

1. Identify the energy value in Watt-Hours (Wh)
2. Determine the battery voltage in Volts (V)
3. Divide the Watt-Hours by the voltage
4. The result is the battery capacity in Amp-Hours (Ah)

Example Calculation

Let's convert 1000 Watt-Hours to Amp-Hours with a battery voltage of 12 Volts:

1. Identify the given values: \[Wh = 1000 \text{ Wh}\] \[V = 12 \text{ V}\]
2. Apply the formula: \[Ah = \frac{Wh}{V} = \frac{1000}{12} = 83.33 \text{ Ah}\]

Therefore, 1000 Watt-Hours with a battery voltage of 12 Volts is equal to 83.33 Amp-Hours of battery capacity.

Calculation Visualization

This bar chart visually compares the input energy in Watt-Hours (1000 Wh), battery voltage (12 V), and the resulting battery capacity in Amp-Hours (83.33 Ah) from our example calculation. The height of each bar is proportional to its value, illustrating the relationship between Watt-Hours, voltage, and Amp-Hours in battery capacity calculations.