Calculating Charge Flow in a Conductor

The question asks us to find the total electric charge that flows through a conductor when a certain current flows for a specific duration.

We are given the following information:

• Current (I) = 5 A (Amperes)
• Time (t) = 3 minutes

To calculate the charge flow, we use the fundamental relationship between current, charge, and time. Current is defined as the rate of flow of electric charge. The formula connecting these quantities is:

$$ \text{Charge (Q)} = \text{Current (I)} \times \text{Time (t)} $$

Before we use the formula, we need to make sure all units are consistent with the SI system. The current is already in Amperes (A), which is C/s (Coulombs per second). The time is given in minutes, so we need to convert it to seconds.

There are 60 seconds in 1 minute.

So, time in seconds is:

$$ t = 3 \text{ minutes} \times 60 \frac{\text{seconds}}{\text{minute}} = 180 \text{ seconds} $$

Now we can substitute the values of current and time in seconds into the formula for charge:

$$ Q = I \times t $$ $$ Q = 5 \text{ A} \times 180 \text{ s} $$ $$ Q = 900 \text{ C} $$

Therefore, the value of the charge flow in the conductor is 900 Coulombs.