# Potential Divider Formula Derivation

Potential Divider Law: In order to prove this we are using Ohm's Law everywhere. Ohm's Law is very simple; V = I x R, and we are simply substituting into this or rearranging it for current.

Derivation of the Potential Divider Circuit Formula is very easy as you can see from the proof shown above. This is probably the simplest way of showing it for beginners, and most students are able to follow it without any difficulty.

Voltage Divider Rule (VDR): The formula above highlights the voltage divider rule. The voltage across resistor R2 is found by using the sum of the resistor values within the circuit and determined by the ratio R2 / (R1 + R2). This rule can work for any number of resistors connected in series within a circuit.

When R1 = R2

When R1 = R2 the derivation is very simple as you can see. It shows that the output voltage is exactly half of the supply voltage.

Rearranging Potential Divider Formula

By rearranging the formula you can obtain the transfer function given by the voltage ratio Vo and Vs in terms of the resistors R1 and R2.

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