Question

10000 electrons are passing per minute though a tube radius of 1cm.resulting current is

Answer 1

Answer: The value of resulting current is $0.267\times10^{-16} A$.

Explanation:

The expression for the current in terms of charge and time is as follows;

$I=\frac{Q}{t}$

Here, Q is the charge and t is the time.

Calculate the total number of charges.

$Q=ne$

Here, n is the number of charges and e is the charge on electron.

Put n=10000 and $e=1.6\times10^{-19} C$.

$Q=(10000)(1.6\times10^{-19})$

It is given in the problem that 10000 electrons are passing per minute though a tube radius of 1 cm.

Convert time from a minute to second.

$t=1 min = 60 s$

Put t = 60 s and $Q=(10000)(1.6\times10^{-19})$ in the equation (1).

$I=\frac{(10000)(1.6\times10^{-19})}{60}$

$I=0.267\times10^{-16} A$

Therefore, the value of resulting current is $0.267\times10^{-16} A$.