Problem #0039 Electricity & Magnetism Sub-menu Problem #0041 Chapters Chapters

310.

Problem 28.43 (RHK)

In a particular early run (1911), Millikan observed that the following measured charges, among others, appeared at different times on a single drop:

.

We have to find the value of the quantum of charge e that can be deduced from these data.

Solution:             Click For PDF Version

Let the value of the quantum of charge be e. Therefore, the values of the charges on oil drops measured by Millikan have to be integral multiples of e.

In the ascending order of the values given in the data above we write

where and is some integer.

Similarly, where and is some integer, and so on.

We work out the ratios

and

We now find the smallest integer for which will be integers. From the data above, we note that the solution is

The value of quantum of charge e that can be deduced from the above data of the Millikan’s experiment (1911) is