Try it

VinR1VoutR2

R1 and R2 in series - the tap between them is Vout

Output voltage6V
Current3mA

Understand the result

What's going on

Two resistors in series don’t just add their resistance - they also split whatever voltage is pushed across them, in proportion to their size. Tap the point between them and you get a smaller, predictable voltage. It’s how a 5 V sensor talks to a 3.3 V microcontroller pin without a special chip.

The formula

Vout = Vin × R2 / (R1 + R2)

Vout is measured across R2 - the resistor between the tap point and ground.

Show the derivation, mnemonic, and worked example

Build it up

The same current flows through both resistors - it’s one series path. Each resistor’s share of the total voltage matches its share of the total resistance: a resistor that’s half the total resistance carries half the total voltage. Tap the midpoint between R1 and R2 and you read out whatever share R2 holds.

Worked example

Worked example

Vin = 9 V, R1 = 1,000 Ω, R2 = 2,000 Ω

Vout = 9 × 2000 / (1000 + 2000)

Vout = 9 × 0.667 = 6 V