Calculating Cost of Charging a Battery

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The discussion focuses on calculating the cost of charging a battery with a voltage function of v=11+0.5t V and a constant current of 2 A over 5 hours. The power is derived from integrating the voltage function, resulting in an average power of 122.5 W. This translates to a total energy consumption of 0.6125 kWh for the charging period. At a rate of 10 cents per kWh, the total cost for charging the battery amounts to approximately 6.125 cents. Participants emphasize the importance of unit consistency throughout the calculations.
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A battery is being charged by a voltage v=11+0.5t V and a constant current of 2 A. The price of a kWh is 10 cent. How much is 5 hours battery-charging?

My work:
p = 22 + t
w= \int_{0}^{5} x dt = 25/5 + 22*5 = 122.5 W
122.5 W in 5 h = 5 * 122.5 Wh = 0.6125 kWh
 
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w= \int_{0}^{5} p(t) dt

where p = VA = 22 + 1t correct?

Just integrate that from zero to five to get the power then do the last step... i think its correct.

you should end up getting 122.5 JOULES like you did... your answer is correct.

Just make sure your units are right.
 
Last edited:
I solved it. I did indeed just need to crack the units.
 

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