Why is charge quantized and unable to exist in fractional or decimal values?

Click For Summary
Charge is quantized, existing only in integral multiples of the electron's charge, represented mathematically as q = ne, where n is an integer. Despite the value of the electron charge being 1.6 x 10^-19 C, which can lead to fractional values in calculations, the fundamental principle asserts that charge cannot exist in fractional or decimal forms. Dividing any charge value by 1.6 x 10^-19 will yield an integer, reinforcing the concept of quantization. This means that while calculations may suggest otherwise, the physical reality of charge is that it only manifests in whole number multiples. Thus, charge remains fundamentally quantized and cannot take on fractional values.
logearav
Messages
329
Reaction score
0

Homework Statement


Quantisation means charge always exist in integral multiples of magnitude of charge of electron and to put it mathematically we say q = ne, where n is an integer 1,2,3,4 ... -1,-2,-3,... etc. Numerous print and web materials say that charge cannot exist in fraction or decimal, i.e, 2.3e, 4.6e etc. Agreed.

Homework Equations

The Attempt at a Solution


The value of e is 1.6*10^-19 C which itself contradicts the statement that no fraction or decimals is possible while dealing with charge. Also if we take n = 2, we get q = 3.2*10^-19, n =3 means q = 4.8 *10^-19 which are all fractions. Can experts throw light on this aspect? Thanks in advance
 
Physics news on Phys.org
It means charge exists in multiples of integers. An easy way to put it is if you divide the value of a charge by 1.6*10^-19, you'll always get an integer and never a fraction.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 2 ·
Replies
2
Views
34K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 8 ·
Replies
8
Views
5K
Replies
5
Views
4K
  • · Replies 26 ·
Replies
26
Views
3K