Deriving the speed of light from Maxwell’s Equations

I thought it’d be good to show my A-Level students how to model an electromagnetic wave using a sinusoidal wave function for the electric and magnetic fields, and how these can be substituted into Maxwell’s Equations to derive the speed of light. There are a few ways to derive the speed of light from Maxwell’sContinueContinue reading “Deriving the speed of light from Maxwell’s Equations”

A line of best fit can be curved to be straight

I’ve heard that teachers of mathematics tell their students that a line is always straight, and so a line of best fit is always straight. I’ve heard that teachers of mathematics say that there are also curves of best fit, but that these are not lines, because they are not straight. Consider a graph showingContinueContinue reading “A line of best fit can be curved to be straight”

Ultraviolet catastrophe

According to the Rayleigh-Jeans’ Law, Eq 1: Rayleigh-Jeans Law where B is the power emitted let unit area per unit solid angle per unit wavelength for a given wavelength and temperature, T is the temperature of the body, lambda is the wavelength of radiation emitted by the body, and k is Boltzmann’s constant. This classicalContinueContinue reading “Ultraviolet catastrophe”

Liquid crystal displays (LCDs)

These types of displays work in a clever way. Light passes through a polarising filter, through a liquid crystal, and then through a second polarising filter with the plane if polarisation orientated 90° to the first. The light then reflects off a mirror and follows the return path through the polarising filter, liquid crystal andContinueContinue reading “Liquid crystal displays (LCDs)”