Number of electrons flowing per second in a conductor carrying a current of $9 \mathrm{~A}$ is

Number of electrons flowing per second in a conductor carrying a current of $9 \mathrm{~A}$ is
  1. $3 \times 10^{19}$
  2. $5.6 \times 10^{19}$
  3. $5.6 \times 10^{20}$
  4. $3 \times 10^{20}$

Solution

Given that, electric current, $I=9 \mathrm{~A}$ Let $n$ be the number of electron passing through a conductor in time $t$. We know that, $I=\frac{q}{t}$ and $ q=n e $ $ \begin{aligned} & \therefore & I=\frac{n e}{t} \\ \Rightarrow & \frac{n}{t} & =\frac{I}{e} \end{aligned} $ Substituting the values, we get Number of electron flowing per second, $\frac{n}{t}=\frac{9}{1.6 \times 10^{-19}}=5.6 \times 10^{19}$ electrons per second

Asked in: AP EAMCET 2021 (24 Aug Shift 1)

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