Battery Capacity Equation:
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This calculator converts power consumption in watts to battery capacity in amp-hours (Ah), which is essential for determining how long a battery will last under a specific load or sizing a battery bank for a particular application.
The calculator uses the battery capacity equation:
Where:
Explanation: The equation converts energy (watt-hours) to battery capacity (amp-hours) by accounting for the system voltage.
Details: Accurate battery capacity calculation is crucial for designing power systems, sizing battery banks for solar installations, determining runtime for backup systems, and ensuring proper power supply for electronic devices.
Tips: Enter power in watts, time in hours, and system voltage in volts. All values must be positive numbers. The result shows the required battery capacity in amp-hours (Ah).
Q1: Why convert watts to amp-hours?
A: Batteries are typically rated in amp-hours (Ah), while devices are rated in watts. This conversion helps match power requirements with battery capacity.
Q2: What's the difference between Ah and Wh?
A: Amp-hours (Ah) measure charge capacity, while watt-hours (Wh) measure energy capacity. Wh = Ah × V. This calculator converts between them.
Q3: How does voltage affect the calculation?
A: Higher voltage systems require fewer amp-hours for the same power. A 100W load on 12V needs 8.33A, but only 4.17A on 24V.
Q4: Should I derate the battery capacity?
A: Yes, for lead-acid batteries, typically multiply by 1.2-1.5 to account for depth-of-discharge limitations and efficiency losses.
Q5: Does temperature affect battery capacity?
A: Yes, cold temperatures can significantly reduce available capacity, especially for lead-acid batteries.