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Question

What will be the backup time of a UPS if it is backed by 150Ah, 12V battery driving a load of 150 W?

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is
12 h

Calculate Total Battery Energy

The total energy stored in the UPS battery, measured in Watt-hours (Wh), is calculated by multiplying the battery's capacity in Ampere-hours (Ah) by its voltage in Volts (V).

The formula is:

\( \text{Energy (Wh)} = \text{Capacity (Ah)} \times \text{Voltage (V)} \)

Given:

  • Capacity = 150 Ah
  • Voltage = 12 V

Calculation:

\( \text{Energy} = 150 \, \text{Ah} \times 12 \, \text{V} = 1800 \, \text{Wh} \)

The total energy stored in the battery is 1800 Wh.

Calculate UPS Backup Time

The backup time of the UPS is determined by dividing the total energy stored in the battery (in Wh) by the power consumed by the load (in W).

The formula is:

\( \text{Backup Time (h)} = \frac{\text{Total Energy (Wh)}}{\text{Load Power (W)}} \)

Given:

  • Total Energy = 1800 Wh
  • Load Power = 150 W

Calculation:

\( \text{Backup Time} = \frac{1800 \, \text{Wh}}{150 \, \text{W}} = 12 \, \text{h} \)

Therefore, the backup time of the UPS is 12 hours.

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