1. Force of an accelerating charge on itself: small  (contd..) |
| The "jerk" force |
- This is one of the rare instances where the third derivative of
position enters a force equation.
- Though we used the word "rare" here, it is a feature of many
practical situations, like the behaviour of electrons inside a
material, as we'll see in the next lecture. So this is indeed an
important phenomenon.
- Indeed, this force would make an electron orbiting a nucleus
lose energy and fall inside the nucleus. This quandary led Bohr
to postulate the quantization of angular momentum in his atomic
model, one of the first foundations of Quantum Mechanics.
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