Question

Batteries have capacities which are often given in units of Ampere-hours (Ah). The stored energy
can be derived from the reported Ampere-hours. Consider a AAA battery which has a voltage of
1.25V and a capacity of 500mAh. What is the energy capacity of the battery in kilojoules? Omit
units from your answer.

Answer 1

Answer:

Energy capacity of the battery is U = 2.25 kJ

Explanation:

As we know that the energy of the battery can be given as

$U = i V t$

here we know that charge given by the battery is

$Q = 500 mAh$

A we know that

$1 mAh = 10^{-3}A(3600 s)$

$1 mAh = 3.6 As$

now we have

$Q = 500 (3.6 As)$

$Q = 1800 C$

now Energy given by the battery

$U = QV$

$U = 1800(1.25)$

$U = 2250 J = 2.25 kJ$

#Learn

Topic : Energy stored in the battery

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