Coulomb Of Charge In A Fully Charged 100 Ampere-Hour Battery
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Coulomb Of Charge In A Fully Charged 100 Ampere-Hour Battery

Batteries are usually rated in amperes-hour. So, a battery rated at X amperes-hour is able to supply X amperes in an hour.
(a) Calculate the amount of charge a fully charged 100 ampere-hour battery is able to supply.
(b) Calculate the number of electrons required to realize the answer in (a).
(c) Calculate the rated chemical energy stored in a battery with a rated voltage = 12 V and a rated capacity of 350 A-h.

The strings: S7P3A31 (force - pull).

The math:
Pj Problem of Interest is of type force (pull).

Equations of interest: Q = It; E = IVt
Where Q is charge in coulomb of a current I flowing for t secs and E is the energy delivered in t secs by a circuit with a voltage source V and a current I.
(a) Current = 100 amperes, time = 3600 secs
So, charge, Q = 100 x 3600 = 36 x 104 C.

(b) -1.602 x 10-19 C is the charge of 1 electron
So, 36 x 104 C is the charge of (36 x 104)/ (-1.602 x 10-19) electrons = -(36/1.602)1023 = 22.7 x 1022 electrons.

(c) Voltage = 12 V, current = 350 A. time = 3600secs. So, Energy , E = 12x 350 x 3600 = 15.12 x 106 Joules = 15.12 MJ.

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