Question

The current in a Crookes tube is $10nA$. How many electrons strike the face of the glass tube each second?

Short answer

The number of electrons are = $6.25\times {10}^{10}\frac{electrons}{s}$

Step-by-step solution

Given Information

We have been given that current in a Crookes tube is $10nA$. We need to find the number of electrons that strike the face of the glass tube each second.

Simplify

By the definition of current, we know

- $\left(1\right)$

where $\Delta q$is the amount of charge passing through a given area in time $\Delta t$

We are given that $I=10nA$

Since I= Δq/Δt, we see that an ampere is one coulomb per second:

1 A = 1 C/s

It is known that the charge of a electron e is$1.6\times {10}^{-9}C$

Substituting the values in equation$\left(1\right)$, we get

$10nA=10\frac{nC}{S}$

On solving,

Number of electrons =