Watt-Hours (Wh) to Milliamp-Hours (mAh) Calculator

Convert Watt-Hours to Milliamp-Hours

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How to Convert Watt-Hours to Milliamp-Hours

Converting Watt-Hours (Wh) to Milliamp-Hours (mAh) is a common calculation in battery and energy storage applications. This conversion helps in determining the capacity of a battery in terms of Milliamp-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 Milliamp-Hours is:

\[mAh = \frac{Wh}{V} \times 1000\]

Where:

  • mAh is the battery capacity in Milliamp-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. Multiply the result by 1000 to convert from Amp-Hours to Milliamp-Hours
  5. The final result is the battery capacity in Milliamp-Hours (mAh)

Example Calculation

Let's convert 100 Watt-Hours to Milliamp-Hours with a battery voltage of 3.7 Volts:

  1. Identify the given values: \[Wh = 100 \text{ Wh}\] \[V = 3.7 \text{ V}\]
  2. Apply the formula: \[mAh = \frac{Wh}{V} \times 1000 = \frac{100}{3.7} \times 1000 = 27,027.03 \text{ mAh}\]

Therefore, 100 Watt-Hours with a battery voltage of 3.7 Volts is equal to approximately 27,027 Milliamp-Hours of battery capacity.

Calculation Visualization

Watt-Hours Voltage Milliamp-Hours 100 Wh 3.7 V 27,027 mAh Watt-Hours to Milliamp-Hours Conversion

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.

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