Battery Running Time Calculator

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Battery Running Time Calculator

mAh (milliampere-hours)
V (Volts)
mW (milliwatts)

Understanding Battery Running Time

The running time of a battery-powered device is a critical factor for user experience and device utility. It's determined by how much energy a battery can store and how quickly a device consumes that energy. This calculator helps estimate that time based on key battery and device specifications.

The Math Behind the Calculation

The calculation involves converting battery capacity and voltage into energy units (Watt-hours or milliWatt-hours) and then dividing that by the device's power consumption.

Energy (Wh) = Battery Capacity (Ah) × Battery Voltage (V)

Since battery capacity is often given in mAh (milliampere-hours) and device consumption in mW (milliwatts), we need to ensure consistent units.

  1. Convert Battery Capacity from mAh to Ah:
    Capacity (Ah) = Capacity (mAh) / 1000
  2. Calculate Total Battery Energy in Watt-hours (Wh):
    Energy (Wh) = [Capacity (mAh) / 1000] × Voltage (V)
  3. Convert Device Consumption from mW to W:
    Consumption (W) = Consumption (mW) / 1000
  4. Calculate Running Time in Hours:
    Running Time (Hours) = Energy (Wh) / Consumption (W)

By substituting the formulas, we can arrive at a direct calculation:

Running Time (Hours) = [ (Battery Capacity (mAh) × Battery Voltage (V)) / 1000 ] / [ Device Consumption (mW) / 1000 ]

This simplifies to:

Running Time (Hours) = (Battery Capacity (mAh) × Battery Voltage (V)) / Device Consumption (mW)

Factors Affecting Actual Running Time

  • Device Load: Higher processing demands or screen brightness increase power consumption, reducing running time.
  • Battery Health: Older batteries have reduced capacity and may not deliver their rated performance.
  • Temperature: Extreme temperatures can negatively impact battery performance and lifespan.
  • Background Processes: Apps running in the background can consume significant power.
  • Standby vs. Active Use: The calculation provides an estimate for continuous active use. Standby time is usually much longer.

Use Cases

  • Electronics Design: Engineers can use this to estimate battery life for new products.
  • Consumer Electronics: Users can gauge how long their devices (laptops, smartphones, tablets, portable speakers) might last on a single charge.
  • IoT Devices: Estimating the operational period for battery-powered sensors and devices.
  • Power Bank Planning: Determining how many charges a power bank can provide for a specific device.
function calculateRunningTime() { var capacity = parseFloat(document.getElementById("batteryCapacity").value); var voltage = parseFloat(document.getElementById("batteryVoltage").value); var consumption = parseFloat(document.getElementById("deviceConsumption").value); var resultDiv = document.getElementById("result"); if (isNaN(capacity) || isNaN(voltage) || isNaN(consumption)) { resultDiv.innerHTML = "Please enter valid numbers for all fields."; resultDiv.style.backgroundColor = "#dc3545"; // Error color resultDiv.style.display = "block"; return; } if (consumption <= 0) { resultDiv.innerHTML = "Device consumption must be greater than zero."; resultDiv.style.backgroundColor = "#dc3545"; // Error color resultDiv.style.display = "block"; return; } // Formula: Running Time (Hours) = (Battery Capacity (mAh) * Battery Voltage (V)) / Device Consumption (mW) var runningTimeHours = (capacity * voltage) / consumption; var formattedResult = ""; if (runningTimeHours < 1) { // Convert to minutes if less than an hour var runningTimeMinutes = runningTimeHours * 60; formattedResult = runningTimeMinutes.toFixed(1) + " minutes"; } else { // Format to one decimal place for hours formattedResult = runningTimeHours.toFixed(1) + " hours"; } resultDiv.innerHTML = "Estimated Running Time: " + formattedResult; resultDiv.style.backgroundColor = "#28a745"; // Success color resultDiv.style.display = "block"; }

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