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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.

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Answer #1

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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