Question

A potential difference of $3.2V$ is applied across a conductor of resistance $1k\Omega$. Find the number of electrons flowing through the conductor in $5$ minutes.

• A. $6\times {10}^{17}$
• B. $6\times {10}^{18}$
• C. $5\times {10}^{18}$
• D. $5\times {10}^{17}$

Answer 1

The correct option is B $6\times {10}^{18}$

Current=$i=\frac{V}{R}=\frac{3.2}{1000}=3.2\times {10}^{-3}A$

$t=5min=5\times 60=300s$

$q=It=3.2\times {10}^{-3}\times 300=0.96C$

$q=Ne$ where $N=$number of electrons

$⟹N=\frac{q}{e}=\frac{0.96}{1.6\times {10}^{-19}}$

$⟹N=6\times {10}^{18}$

Answer-(B)