Infinite ladder of resistors: general case 

Deriving an expression for the effective resistance of an infinite ladder-like resistor network, in the general case where the repeating unit contains three arbitrary resistors. We finish with some special cases, and see how the golden ratio turns up in the solution.
About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.
My website: benyelverton.com/
#physics #mathematics #electricity #circuits #resistance #effectiveresistance #seriescircuit #parallelcircuit #voltage #current #quadraticequation #quadratic #infinity #goldenratio #reciprocal #math #science #education