A car battery has a rating of 250 ampere-hours. This rating is one indication of the total charge that the battery can provide to a circuit

Question

A car battery has a rating of 250 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 37 minutes.

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Thu Giang 4 years 2021-07-29T20:10:57+00:00 1 Answers 31 views 0

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  1. Cherry
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    2021-07-29T20:12:36+00:00
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    Answer:

    Total charge provided by the battery could be 900000 C.

    Maximum current provided by the battery for 37 minutes could be 405.405 A

    Explanation:

    Rating= 250 A-h

    a. Total charge:

    Rating=Q/t\\Q=Rating.t\\

    Suppose t=1h

    Q=250 A(1h)\\Q=250 A(3600 sec)\\Q= 900000 A.sec

    We konw that Ampere=\frac{Coulomb}{sec}, replacing:

    Q=900000(\frac{Coulomb}{sec})(sec)\\Q=900000 Coulomb

    Total charge provided by the battery could be 900000 C.

    b. Maximum current for 37 minutes

    I=\frac{Q}{t} \\I=\frac{900000 C}{37*60 sec}\\I=405.405 A

    Maximum current provided by the battery for 37 minutes could be 405.405 A

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