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Voltage Divider Calculator

Calculate Vout = Vin × R2 / (R1 + R2)

Vin (V)
R1 (Ω)
R2 (Ω)
Load RL (Ω) leave empty for no load

Voltage Divider Formula

Vout = Vin × R2 / (R1 + R2) (ideal)
With load: R2_eff = R2 × RL / (R2 + RL)
Vout_loaded = Vin × R2_eff / (R1 + R2_eff)
Current: I = Vin / (R1 + R2)

The voltage divider is the most fundamental resistor network. It produces a fraction of the input voltage determined by the resistor ratio. However, any load connected to the output draws current and changes the effective division ratio. For precision applications, use a high-impedance buffer or ensure RL >> R2.

A loaded divider always has lower Vout than ideal. The error depends on RL/R2 ratio. For <1% error: RL > 100×R2. For precision: use a voltage regulator instead of a divider.

Understanding the Voltage Divider

A voltage divider uses two series resistors to produce a lower voltage from a higher one. The output voltage depends on the ratio of R2 to total resistance. The divider itself consumes current (I = Vin/(R1+R2)), which must be considered in low-power designs. The load effect is critical when the divider feeds into another circuit.

Ideal Divider

Vout = Vin × R2/(R1+R2). No load connected. Used as voltage reference if no current is drawn from the output node.

Loaded Divider

RL in parallel with R2 reduces effective R2. Vout drops. Rule: RL > 100×R2 for <1% error. Op-amp buffer eliminates loading.

Design Trade-offs

Low R values = stiff divider (less load effect) but high power consumption. High R = low power but more load sensitivity. Balance based on application.

Standard Values

Use E12 series: 1.0, 1.2, 1.5, 1.8, 2.2, 2.7, 3.3, 3.9, 4.7, 5.6, 6.8, 8.2 (×10, ×100, ×1k, ×10k). Combine for exact ratios.

Teaching Example: Vin=5V, R1=1kΩ, R2=2kΩ.
Ideal: Vout = 5 × 2000/(1000+2000) = 5 × 0.667 = 3.333V.
With RL=10kΩ: R2_eff = 2000×10000/(2000+10000) = 1667Ω.
Vout_loaded = 5 × 1667/(1000+1667) = 5 × 0.625 = 3.125V (6.25% lower).
I through divider = 5/3000 = 1.67mA.

Applications

ADC Input Scaling Level Shifting Biasing Networks Volume Control Feedback Networks

Frequently Asked Questions

What is voltage divider rule?
Vout = Vin × R2/(R1+R2). The output voltage is R2's fraction of total resistance times input voltage. Simple ratio.
How does load affect Vout?
Any load in parallel with R2 reduces effective R2, lowering Vout. Keep RL > 100×R2 for <1% error. Use buffer if precise Vout needed.
Can a divider replace a regulator?
Only for reference (no current draw). For power, a regulator is needed. Dividers are not regulated: Vout changes with Vin. Use regulators for stable supply voltages.
How to choose R1 and R2 values?
Target ratio R2/(R1+R2) = Vout/Vin. R1+R2 should limit current: for mW power, R1+R2 > Vin²/0.001. Use standard values. Consider load impedance.

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