Answer: 259.2 KJ
Explanation:
The formula calculate work don in a circuit is given by :-
[tex]W=QV[/tex], where Q is charge and V is the potential difference.
The formula to calculate charge in circuit :-
[tex]Q=It[/tex], where I is current and t is time.
Given : Current : [tex]I=3A[/tex]
Potential difference : [tex]V=12\ V[/tex]
Time : [tex]t=2\ hr=2(3600)\text{ seconds}=7200\text{ seconds}[/tex]
Now, [tex]Q=3(7200)=21,600\ C[/tex]
Then, [tex]W=(21600)(12)=259,200\text{ Joules}=259.2\text{ KJ}[/tex]
Hence, the work done = 259.2 KJ