Question

If a body gives out ${10}^9$ electrons every second how much time is required to get total charge of 1 C

Answer 1

Charge on one electron =

$1.6\times {10}^{-19}$

C

Number of electrons in one coulomb = $\frac{1}{1.6\times {10}^{-19}}$

We get that 1 Coulomb = 6.25×10¹⁸ electrons

Given ${10}^9$ electrons take 1 sec

Now we can write

=> ${10}^9$ electrons ------> 1 sec

=> 1 electrons ---------> $\frac{1}{{10}^9}$ secs

=> 6.25×10¹⁸ electrons------> $\frac{6.25\times {10}^{18}}{{10}^9}$ secs

Or, 6.25×10⁹ secs

Hence, the time is taken to get 1-coulomb charge is $6.25\times {10}^9$ sec