How to Calculate Battery C Rate

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Battery C-Rate Calculator

Calculate discharge rates and estimated runtime relative to battery capacity.

Ah (Amp-hours) mAh (Milliamp-hours)
A (Amps) mA (Milliamps)
Please enter valid positive numbers for both fields.
Calculated C-Rate
0 C
This means the battery is being discharged at 0 times its capacity.
Theoretical Time to Empty/Full
0 Minutes
Assuming 100% efficiency and constant current.

How to Calculate Battery C-Rate

The C-rate is a unit used to measure the speed at which a battery is fully charged or discharged relative to its maximum capacity. Understanding C-rate is crucial for battery health, safety, and estimating how long a device will run.

Formula:
C-Rate = Current (Amps) รท Rated Capacity (Amp-hours)

Why is C-Rate Important?

A C-rate of 1C means the current will discharge the entire battery in exactly 1 hour. Higher C-rates imply faster charging or discharging, which often generates more heat and can reduce the battery's overall lifespan if it exceeds manufacturer specifications.

  • 0.5C: Discharges in 2 hours (gentle usage).
  • 1C: Discharges in 1 hour (standard baseline).
  • 2C: Discharges in 30 minutes (high performance).
  • 5C+: Discharges in minutes (racing drones, power tools).

Calculation Example

Let's say you have a Lithium-ion battery with a capacity of 3000 mAh (which is 3 Ah) and your device draws a current of 6 Amps.

  1. Convert units to match: 3000 mAh = 3 Ah.
  2. Apply the formula: C-Rate = 6 A / 3 Ah.
  3. Result: 2C.

This means your device is drawing power at twice the battery's capacity rate, and the battery will theoretically last for 30 minutes (1 hour divided by 2).

Factors Affecting Real-World Results

While the mathematical calculation provides a theoretical baseline, real-world battery performance is affected by Peukert's Law (for lead-acid) and internal resistance heat losses (for Lithium). As the C-rate increases, the effective capacity often decreases due to voltage sag and heat dissipation. Therefore, a battery discharged at 10C will usually provide less total energy than the same battery discharged at 0.5C.

function calculateBatteryCRate() { // 1. Get input elements var capInput = document.getElementById("batteryCapacity"); var currInput = document.getElementById("batteryCurrent"); var capUnitSelect = document.getElementById("capacityUnit"); var currUnitSelect = document.getElementById("currentUnit"); var resultsArea = document.getElementById("resultsArea"); var errorDisplay = document.getElementById("errorDisplay"); var cRateResult = document.getElementById("cRateResult"); var cRateExplanation = document.getElementById("cRateExplanation"); var timeResult = document.getElementById("timeResult"); // 2. Parse values var capacityVal = parseFloat(capInput.value); var currentVal = parseFloat(currInput.value); var capMultiplier = parseFloat(capUnitSelect.value); var currMultiplier = parseFloat(currUnitSelect.value); // 3. Validation if (isNaN(capacityVal) || isNaN(currentVal) || capacityVal <= 0 || currentVal = 1) { var h = Math.floor(timeInHours); var m = Math.round((timeInHours – h) * 60); timeDisplay = h + " Hour" + (h !== 1 ? "s" : "") + " " + m + " Min"; } else { var totalMinutes = timeInHours * 60; if (totalMinutes < 1) { var seconds = Math.round(totalMinutes * 60); timeDisplay = seconds + " Seconds"; } else { timeDisplay = Math.round(totalMinutes) + " Minutes"; } } // 7. Display Results resultsArea.style.display = "block"; cRateResult.innerHTML = cRate.toFixed(2) + " C"; cRateExplanation.innerHTML = cRate.toFixed(2); timeResult.innerHTML = timeDisplay; }

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