Battery Backup Calculator

Formula

To calculate the Battery Backup Time (B):

\[ B = \frac{C \times V}{P} \]

Where:

\( B \) is the backup time (hours)
\( C \) is the battery capacity (ampere-hours)
\( V \) is the battery voltage (volts)
\( P \) is the power consumption (watts)

What is Battery Backup Time?

Battery backup time is the duration for which a battery can provide power to a device or system before it is completely discharged. It is a crucial factor for systems that require a reliable power supply in the event of a power outage, such as emergency lighting, medical devices, and backup power systems. The backup time depends on the battery's capacity, its voltage, and the power consumption of the connected device.

Example Calculation

Let's assume the following values:

Battery Capacity \( C \) = 100 Ah
Battery Voltage \( V \) = 12 V
Power Consumption \( P \) = 240 W

Step 1: Multiply the battery capacity by the battery voltage:

\[ C \times V = 100 \times 12 = 1200 \text{ watt-hours} \]

Step 2: Divide by the power consumption:

\[ B = \frac{1200}{240} = 5 \text{ hours} \]

The Battery Backup Time is 5 hours.