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**:
S_{7}P_{3}A_{31} (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 10^{4} C.
**(b)** -1.602 x 10^{-19} C is the charge of 1 electron

So, 36 x 10^{4} C is the charge of (36 x 10^{4})/
(-1.602 x 10^{-19}) electrons = -(36/1.602)10^{23} = 22.7 x 10^{22} electrons.
**(c)** Voltage = 12 V, current = 350 A. time = 3600secs.
So, Energy , E = 12x 350 x 3600 = 15.12 x 10^{6} Joules = 15.12 MJ.

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The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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