A PC consuming 100 Watts is to be operated on a UPS. The UPS uses a 12 Volts, 100 AH battery. Assuming unity PF, what is the backup time of this unit?

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ALP CBT 2 Electronic Mechanic Previous Paper: Held on 21 Jan 2019 Shift 2

Answer 1

Concept:

The capacity of the battery is represented in terms of Amp-hour.

The capacity of battery = current delivered × backup time

Power consumption is given by

P = V I cos ϕ

Where,

V = Voltage

I = Current delivered

cos ϕ = Power factor

Calculation:

Given that, V = 12 volts, cos ϕ = 1, P = 100 W

capacity of battery = 100 AH

∴ I = 100 / 12

Now backup time can be calculated as

Backup time = 100 / (100 /12)

Backup time = 12 hours

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