Home Back

Ah to Kwh Calculator

Amp-Hours and Kilowatt-Hours Formula

1. What is the Amp-Hours and Kilowatt-Hours Converter?

Definition: This converter allows you to switch between converting electrical charge in amp-hours (Ah) to energy in kilowatt-hours (kWh) or vice versa, using the voltage in volts (V).

Purpose: It is used to determine the energy capacity or charge of batteries or electrical systems, aiding in energy storage design and consumption analysis.

2. How Does the Converter Work?

The converter uses the following formulas:

Formulas:

  • Ah to kWh: \( kWh = \frac{Ah \times V}{1000} \)
  • kWh to Ah: \( Ah = \frac{kWh \times 1000}{V} \)
where:
  • \( Ah \): Amp-hours
  • \( kWh \): Kilowatt-hours
  • \( V \): Voltage in volts

Steps:

  • Select the conversion mode: Ah to kWh or kWh to Ah.
  • Enter the input value (Ah or kWh, depending on mode).
  • Enter voltage (default 120, step 0.01).
  • Calculate the result, rounded to 4 decimal places.

3. Importance of Amp-Hours and Kilowatt-Hours Conversion

Converting between Ah and kWh is crucial for:

  • Battery Sizing: Determines energy storage capacity or charge for devices and systems.
  • Renewable Energy: Used in solar panels, EVs, and off-grid systems.
  • Energy Efficiency: Helps in analyzing power consumption and planning.

4. Using the Converter

Examples:

  • Example 1 (Ah to kWh): 20 Ah, 120 V:
    • Energy: \( (20 \times 120) / 1000 = 2.4 \) kWh
    • Result: Energy = 2.4000 kWh
  • Example 2 (Ah to kWh): 50 Ah, 12 V:
    • Energy: \( (50 \times 12) / 1000 = 0.6 \) kWh
    • Result: Energy = 0.6000 kWh
  • Example 3 (kWh to Ah): 2.4 kWh, 120 V:
    • Capacity: \( (2.4 \times 1000) / 120 = 20 \) Ah
    • Result: Capacity = 20.0000 Ah
  • Example 4 (kWh to Ah): 0.6 kWh, 12 V:
    • Capacity: \( (0.6 \times 1000) / 12 = 50 \) Ah
    • Result: Capacity = 50.0000 Ah

5. Frequently Asked Questions (FAQ)

Q: What is Amp-Hours (Ah)?
A: Amp-hours measure the electrical charge, indicating how much current a battery can supply over time.

Q: What is Kilowatt-Hours (kWh)?
A: Kilowatt-hours measure electrical energy, representing 1,000 watts of power used for one hour.

Q: Why is voltage required?
A: Voltage is needed to relate charge (Ah) to energy (kWh), as energy = charge × voltage.

Q: What are common applications?
A: Used in battery systems for electric vehicles, solar energy storage, and portable electronics.

Amp-Hours and Kilowatt-Hours Converter© - All Rights Reserved 2025