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.

Answers

  1. 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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