Answer:
Choice a. Approximately [tex]0.83\; \rm A[/tex] on average.
Explanation:
The electric current through a wire is the rate at which electric charge flows through a cross-section of this wire.
Assume that electric charge of size [tex]Q[/tex] flowed through a wire cross-section over a period of time [tex]t[/tex]. The average current in that wire would be:
[tex]\displaystyle I = \frac{Q}{t}[/tex].
For this question:
Therefore, the average current in this circuit would be:
[tex]\displaystyle I = \frac{Q}{t} = \frac{500\; \rm C}{10\; \text{minutes}} = 50\; \rm C /\text{minute}[/tex].
However, the units in the choices are all in [tex]\rm A[/tex] (for Amperes.) One Ampere is equal to one [tex]\rm C / \text{second}[/tex]. It will take some unit conversations to change the unit of [tex]I = 50\; \rm C/ \text{minute}[/tex] (coulombs-per-minute) to coulombs-per-second.
[tex]\begin{aligned}I &= 50\; \rm C/ \text{minute} \\ &= \frac{50\; \rm C}{1\; \rm \text{minute}} \times \frac{1 \; \text{minute}}{60\; \rm \text{seconds}} \approx 0.83\; \rm C/ \text{second} = 0.83 \; \rm A\end{aligned}[/tex].
Hence, the most accurate choice here would be choice a.
