Building a Voltage Divider Circuit
Two resistors in series can tap off any voltage you need between zero and your full supply.
You'll need: a DC supply, two resistors, a breadboard, and a multimeter set to measure DC voltage.
Wire two resistors in series across your supply, and the point between them — the junction — sits at a voltage somewhere between 0V and the full supply, determined entirely by the ratio of the two resistor values. This is a voltage divider, one of the most-used building blocks in electronics.
The formula: Vout = Vsupply × R2 / (R1 + R2), where R1 is the resistor connected to the positive supply and R2 is the resistor connected to ground, and Vout is measured at their junction. Equal resistor values split the voltage exactly in half; a larger R2 relative to R1 pushes the output voltage higher.
Build it with two 10kΩ resistors across a 9V supply, then confirm with your multimeter that the junction reads close to 4.5V. This exact circuit — a fixed divider or its variable cousin, the potentiometer (next lesson) — is how countless sensors and controls create an adjustable or scaled-down voltage from a fixed supply.