Tricky Circuit

Two resistors + load

Divide the invisible.

Two resistors turn 5 volts into a different voltage. What changes when you connect another component to the output?

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ADC · Analog-to-digital converter
Analog-to-digital converter. Converts a measured analog voltage into a number a digital device can use. It is mentioned in the reading, not simulated here.
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EXPERIMENT BENCH

Change the circuit settings, predict the readings, then check a challenge. These are learning models, with the assumptions explained in each lesson.

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A neighbour changes the rules.

Ideal 5 V source. The 1 kΩ load connects in parallel with the lower resistor. Tolerances and heating are omitted.

The divider has R₁ above and R₂ below. Unloaded: Vout = 5 × R₂ / (R₁ + R₂). With a load, replace R₂ with R₂ ∥ Rload. A divider is useful for signals, but usually unsuitable as a device power supply.

Difficulty
  1. Build · Half the supply

    With no load, power on and set the output to 2.5 V ±0.05 V.

    Need a hint?

    Equal resistances split the voltage in half.

  2. Explore · An unexpected neighbour

    With R₁ = R₂ = 1 kΩ, connect the load. Get about 1.67 V and find out why it dropped.

    Need a hint?

    1 kΩ in parallel with R₂ gives 500 Ω. Output: 5 × 500 / 1500.

  3. Solve it · Bring the voltage back

    Keep the load connected. Set the output between 2.4 and 2.6 V.

    Need a hint?

    Match R₁ to the equivalent lower resistance. Try R₂ = 1 kΩ and R₁ = 500 Ω.

Extra reading and circuit recipes

A voltage divider can be a sensor translator

Two resistors share the supply voltage. Their junction gives you a smaller voltage that can represent a measurement or set a reference. Replace one resistor with a sensor, and a physical change can become an electrical signal.

With no load at the output

Vout = Vs × R2 / (R1 + R2)

With two 1 kΩ resistors on 5 V, the output is 2.5 V. Add a 1 kΩ load across the lower resistor: the effective lower resistance is 500 Ω, so the output falls to about 1.67 V.

Same ratio, different cost

1 kΩ + 1 kΩ and 10 kΩ + 10 kΩ both give half the supply with no load. The larger pair draws one tenth of the current.

Measuring can change the answer

A load attached to the midpoint creates another current path. It acts in parallel with the lower resistor and pulls the output down.

A knob is a moving divider

A potentiometer has a resistive track and a wiper. Turning the shaft changes the two portions of the track, changing the wiper voltage.

A useful trap to avoid

A resistor divider is a signal circuit, not a general replacement for a power supply regulator. A changing load changes its output. An ADC input also needs suitable voltage limits and settling time.

A 1 kΩ load is added across the lower 1 kΩ resistor. The output…

  1. rises above 2.5 V
  2. stays at 2.5 V
  3. falls below 2.5 V
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The effective lower resistance decreases. Its share of the supply voltage becomes smaller.

One-third reference

Generate about 1.67 V from 5 V with no load.

The lower resistor gets one third of the total voltage.

Rescue a loaded divider

Compensate for the fixed 1 kΩ load in this experiment.

The lower 1 kΩ and load 1 kΩ form 500 Ω. Matched with the upper 500 Ω, they restore 2.50 V.

Analog Devices: dividers and capacitive loading