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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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