- If radiation pressure is indeed a genuine electromagnetic phenomenon, then why don’t we observe it in our everyday lives?
- The reason is that the magnitude of the radiation pressure from the natural light source on earth (Sun), is feeble.
- from electromagnetic theory, this tiny amount of pressure can be calculated by the formula \(\frac{E}{c}\), where ‘E’ is the energy of sunlight on earth and ‘c’ is the speed of light in vaccum (which is \(3 \times 10^8 \text{ ms}^{-1}\) [\(9.83 \times 10^8 \text{ ft s}^{-1}\)]).
- Maxwell himself recognized the low value of this energy which he assumed to be \(83.4 \frac{\text{ft} \cdot \text{pound}}{\text{sec} \cdot (\text{ft})^2}\)
- Taking this value and dividing it by ‘c’ gives us a radiation pressure of \(10^{-7} \frac{\text{pound}}{(\text{ft})^2}\).
- Poynting, who extensively worked on radiation pressure from electromagnetic theory viewpoint, compared this tiny pressure to a size of a grain in an area of \(200,0000 \text{ (ft)}^2\) !
- This highlights why radiation pressure is hard to measure experimentally, and it took some trail and errors to ascertain the value and the method. More on this later…
Reference :
Loudon, R., and C. Baxter. ‘Contributions of John Henry Poynting to the Understanding of Radiation Pressure’. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2143 (2012): 1825–38. https://doi.org/10.1098/rspa.2011.0573.