Courses
Courses for Kids
Free study material
Offline Centres
More
Store

If the charge on an electron is $1.6\times {{10}^{-19}}$coulombs, how many electrons should pass through a conductor in one second to constitute 1 ampere current?

Last updated date: 10th Sep 2024
Total views: 428.7k
Views today: 12.28k
Verified
428.7k+ views
Hint: We want here to determine how many electrons should be needed to move so that the current constituted is one ampere. We can use the Coulomb relationship between the charge and current to determine the value.

Given charge on one electron is q= $1.6\times {{10}^{-19}}$ C.
The current is 1 A and time t= 1 s
We know q=It and from the quantization of charge q = one, where n is the number of electrons and e is the charge on one electron.
In both the equations LHS are the same, so RHS must also be the same.
It=ne
\begin{align} &\Rightarrow n=\dfrac{I\times t}{e} \\ &\Rightarrow n=\dfrac{1\times 1}{1.6\times {{10}^{-19}}} \\ &\Rightarrow n=6\times {{10}^{18}} \\ \end{align}
So, the number of electrons needed to be passed in one second to constitute a current of one ampere is $6\times {{10}^{18}}$.

So, $6\times {{10}^{18}}$electrons are the answer.