Question

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

• A. $62.5\times {10}^{18}$
• B. $6.25\times {10}^{19}$
• C. $6.25\times {10}^{18}$
• D. $625\times {10}^{18}$

Answer 1

The correct option is C $6.25\times {10}^{18}$

We know that, number of electrons,
n = $\frac{Q}{e}$ = $\frac{It}{e}$
Where,
$I:ElectricCurrent$
$Q:TotalCharge$
$t:Time$
$e:ChargeofanElectron$

Substituting the values,
n = $\frac{It}{e}$ = $\frac{1\times 1}{1.6\times {10}^{-19}}$ = $6.25\times {10}^{18}$