The voltage divider rule is a simple and important electronic circuit used to change a large voltage into a small voltage. It is a passive linear circuit that produces an output voltage that is a fraction of its input voltage. The voltage divider rule follows directly from Kirchhoffs Voltage Law, which states that the sum of the voltage drops around a resistive circuit is exactly equal to the supply voltage.

A voltage divider circuit is created by connecting two electrical impedances in series, such as two resistors connected in series, with the input voltage applied across the resistor pair and the output voltage emerging from the connection between them. The voltage divider formula is Vout = Vin(R2 / (R1 + R2)), where Vin is the input voltage, Vout is the output voltage, R1 is the resistance of the first resistor, and R2 is the resistance of the second resistor.

The voltage divider rule is used for adjusting the level of a signal, for bias of active devices in amplifiers, and for measurement of voltages. It is also used in Wheatstone bridges and multimeters.

In summary, the voltage divider rule is a simple and important electronic circuit used to change a large voltage into a small voltage. It is a passive linear circuit that produces an output voltage that is a fraction of its input voltage. The voltage divider formula is Vout = Vin(R2 / (R1 + R2)). It is used for adjusting the level of a signal, for bias of active devices in amplifiers, and for measurement of voltages.