The Millman's theorem is an important result in electrical engineering which states that, given enough time and materials, a circuit can be made to cycle at the speed of light. This Theorem states that the voltage at the ends of a series of branches in a circuit made up of only branches in parallel is the sum of the voltages at individual branches.
A simple proof of the Millman's Theorem on how to determine the voltage across a set of parallel branches is given. It can be used as a benchmark for any problem that involves determining the voltage across a set of parallel branches.
One of the main problems related to ensuring that all parallel branches are conducting is to determine whether there are enough branches. This is called the Millman’s theorem and it states that by analogy with electrical circuits, if there exists a circuit (a parallel set) where no two or more of the elements in the circuit conduct at the same time, then the total resistance between all parallel sets will be minimal. This result proved useful in electronics and telecommunications applications. It can be generalized to any number of parallel sets.