Question

A current of 5mA is passing through a wire. How many electrons are passing per minute through any cross section area of wire?

Answer 1

$\bold{187.5 \times 10^{-16}}$ number of electrons can pass through the wire with current of 5mA per minute.  

Given is the current passed through the wire. The number of electron is to be calculated which can pass through any cross section of the wire in respect to per minute.  

Given:

Current $I=5 m A=5 \times 10^{-3} A$

Time t = 1 min = 60 sec.

We know that, $I=n \times\left(\frac{e}{t}\right)$

Where I is the current with n is the number of electron e passing in time t.

$\begin{aligned} I &=n \times\left(\frac{e}{t}\right) \\ n &=I \times\left(\frac{t}{e}\right) \end{aligned}$

$\begin{aligned} n &=\frac{5 \times 10^{-3} \times 60}{1.6 \times 10^{-19}} \\ n &=\frac{300 \times 10^{-3}}{1.6 \times 10^{-19}} \\ n &=\frac{300}{1.6 \times 10^{-16}} \\ n &=187.5 \times 10^{-16} \end{aligned}$.