Amp-Hours (Ah) to Kilowatt-Hours (kWh) Converter

Convert Amp-Hours to Kilowatt-Hours

How to Convert Amp-Hours (Ah) to Kilowatt-Hours (kWh)

Converting amp-hours to kilowatt-hours is a common task when dealing with battery capacity and energy consumption. This process involves understanding the relationship between electrical charge, voltage, and energy.

Conversion Formula

The formula to convert amp-hours to kilowatt-hours is:

\[kWh = \frac{Ah \times V}{1000}\]

Where:

  • kWh is the energy in kilowatt-hours
  • Ah is the capacity in amp-hours
  • V is the voltage in volts
  • 1000 is the conversion factor from watt-hours to kilowatt-hours

Calculation Steps

  1. Identify the battery capacity in amp-hours (Ah)
  2. Determine the voltage of the battery or system
  3. Multiply the amp-hours by the voltage to get watt-hours (Wh)
  4. Divide the result by 1000 to convert watt-hours to kilowatt-hours (kWh)
  5. Round the result to an appropriate number of decimal places

Example Calculation

Let's convert 100 Ah at 12 V to kilowatt-hours:

  1. Battery capacity: 100 Ah
  2. Voltage: 12 V
  3. Calculate watt-hours: \[100 \text{ Ah} \times 12 \text{ V} = 1200 \text{ Wh}\]
  4. Convert to kilowatt-hours: \[1200 \text{ Wh} \div 1000 = 1.2 \text{ kWh}\]

Therefore, 100 Ah at 12 V is equal to 1.2 kWh.

Conversion Visualization

Amp-hours (Ah) Kilowatt-hours (kWh) 100 1.2 Ah to kWh Comparison

This bar chart visually compares 100 Ah to its equivalent of 1.2 kWh. The chart illustrates how the same energy can be represented by different units, with amp-hours representing charge capacity and kilowatt-hours representing energy content.

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