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A 12-V automotive storage battery is charged with a constant current of 2 A for 24 hours. If electricity costs $0.08 per kWh, determine the cost of recharging the battery.

Answer :

The cost recharging the battery, given that the 12-V automotive battery is charged with a constant current of 2 amp for 24 h and that it cost $0.08 per kWh, is $ 0.046

How do i determine the cost of recharging the battery?

We shall begin our calculation by obtaining the energy consumed during the charging of the battery. Details below:

  • Voltage (V) = 12 V
  • Current (I) = 2 amp
  • Time (t) = 24 hours
  • Energy (E) =?

E = IVt

E = 2 × 12 × 24

E = 576 Wh

Divide by 1000 to express in KWh

E = 576 / 1000

E = 0.576 KWh

Finally, we shall determine the cost of recharging the battery. Details below

  • Cost per KWh = $ 0.08
  • Energy (E) = 0.576 KWh
  • Cost of recharging =?

Cost = energy × Cost per KWh

Cost of recharging = 0.576 × 0.08

Cost of recharging = $ 0.046

Thus, we can conclude that the cost of recharging is $ 0.046

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