If the current in a wire is 2 amperes, how much charge flows through a cross-section in 5 seconds?

The correct option is 10 coulombs.

To find the total electric charge that flows through a cross-section of the wire, we can use the fundamental relationship between electric current, charge, and time. Electric current is defined as the rate at which electric charge flows past a point in a circuit.

This relationship is mathematically expressed by the formula:

$$I=\frac{Q}{t}$$

Where:
• $I$ is the electric current in amperes (A)
• $Q$ is the electric charge in coulombs (C)
• $t$ is the time in seconds (s)

To solve for the charge ($Q$), we can rearrange the formula by multiplying both sides by time ($t$):

$$Q=I\times t$$

From the given problem, we have the following values:
• Current, $I=2\text{amperes}$
• Time, $t=5\text{seconds}$

Substitute these values into the rearranged equation:

$$Q=2\text{A}\times 5\text{s}$$

$$Q=10\text{C}$$

Therefore, the total amount of charge that flows through the cross-section of the wire in 5 seconds is 10 coulombs.