Question

What is a current in a conductor that carries ${10}^{17}$free electrons per second through a given cross-section of the conductor?

Answer 1

Step1:- Given Data
Number ($n$) of free electrons=${10}^{17}$

[Note:- Charge on one electron =$1.6\times {10}^{-19}C$]

Step2:- Finding the current flow through a given cross-section of conductor per second is:-

$$\begin{gathered} q=ne \\ q=n\times 1.6\times {10}^{-19}C \\ q={10}^{17}\times 1.6\times {10}^{-19}C \\ =1.6\times {10}^{-2}C \end{gathered}$$

$$\begin{gathered} current=\frac{chargeflow}{timetaken}=\frac{1.6\times {10}^{-2}}{1} \\ =1.6\times {10}^{-2}Ampere=0.016A \end{gathered}$$

Hence, The current through the conductor is $0.016Ampere$