# Thevenin's Theorem

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**Formula:** `Vth = Vs * (Rl / (Rs + Rl))`

Thevenin's Theorem is a way to simplify a complex linear electrical network into a simple equivalent circuit consisting of a single voltage source (Vth), series resistance (Rth), and load resistance (Rl). This theorem enables the analysis of power, current, and voltage across the load without considering the rest of the circuit's complexity.

To apply Thevenin's theorem, all independent current sources are turned off (replaced by an open circuit), and all independent voltage sources are turned off (replaced by a short circuit). Rth is the equivalent resistance seen from the open terminals when these sources are deactivated. Vth is the open-circuit voltage at the terminals. The formula `Vth = Vs * (Rl / (Rs + Rl))`

shows how to compute the voltage across the load resistor - Rl, when connected to the Thevenin equivalent circuit, where Vs is the voltage source, and Rs is the resistance in series with the load.

Thevenin's theorem is extremely useful in circuit analysis when one wishes to focus on a particular portion of a complex circuit. It is widely used in network analysis, simplification of circuits for system design or teaching purposes, and in power system studies.