A car battery has a rating of 290 ampere-hours. This rating is one indication of the...
A car battery has a rating of 290 ampere-hours. This rating is one indication of the total charge that the battery can provide to a circuit before failing. (a) What is the total charge (in coulombs) that this battery can provide? (b) Determine the maximum current that the battery can provide for 41 minutes.
Homework Answers
Answer:
(a) Given that, a car battery has a rating of 290 amp-hour, we need to convert amp-hour to amp-sec
So, 290 amp-hour = 290 x 60 x 60 amp-sec = 1044000 amp-sec.
We know that ampere is the unit for electric current and ampere is defined as coulomb/sec because current = charge /time
Therefore, 290 amp-hour = 1044000 amp.sec = 1044000 (coulomb/sec) sec = 1044000 coulomb.or 1.04 x 106 C.
Hence, the car battery can provide 1044000 coulomb of charge.
(b) Using the definition of electric current I = Q/t
Therefore, Maximum current I = charge/time = 1044000 coulomb/38 min = 1044000 C/38 x 60 s = 457.90 amp.
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