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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