Questions

To find the number of electrons passing through a wire, we can use the formula:

$I=n\cdot A\cdot v\cdot e$

Where:

• $I$ is the current in amperes (A),

• $n$ is the number of electrons passing per unit time,

• $e$ is the charge of an electron ($1.6\times {10}^{-19}\text{C}$).

Alternatively, we can use the relationship between current, charge, and time:

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

Where:

• $I$ is the current in amperes,

• $Q$ is the charge in coulombs,

• $t$ is the time in seconds.

The total charge $Q$ is the number of electrons multiplied by the charge of an electron ($e$):

$Q=n\cdot e$

Thus, the number of electrons $n$ can be found as:

$n=\frac{I\cdot t}{e}$

Given:

• Current $I=500\text{mA}=0.5\text{A}$,

• Time $t=1\text{minute}=60\text{seconds}$,

• Charge of an electron $e=1.6\times {10}^{-19}\text{C}$.

Substitute the values into the formula:

$n=\frac{0.5\text{A}\times 60\text{s}}{1.6\times {10}^{-19}\text{C}}$ $n=\frac{30}{1.6\times {10}^{-19}}$ $n=1.875\times {10}^{20}$

Conclusion:

The number of electrons passing through the wire per minute is 1.875 × 10²⁰.

Thus, the correct answer is 1. 1.875 × 10²⁰.