Given,
The charge passed through the filament, q=1.0×10⁵ C
The time duration, t=2.5 hrs
To convert the time duration from hours to seconds,
[tex]\begin{gathered} t=2.5\times3600 \\ =9000\text{ s} \end{gathered}[/tex]The electric current is the time rate at which the electric charges flow.
Thus the current produced is given by,
[tex]I=\frac{q}{t}[/tex]On substituting the known values,
[tex]\begin{gathered} I=\frac{1.0\times10^5}{9000} \\ =11.11\text{ A} \end{gathered}[/tex]Thus, the current produced is 11.11 A