The work done ($W$) in moving a charge ($q$) between two points with a potential difference ($\Delta V$) is given by the formula:
$W = q \times \Delta V$
In this problem:
Substituting these values into the formula:
$W = (1\text{ C}) \times (5\text{ V})$
$W = 5\text{ J}$
Therefore, the work done in moving a charge of 1 coulomb from point B to A is 5 Joules.
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