Shunt Resistor Calculator — Resistance, Voltage Drop & Power

A current shunt is a precise low-value resistor whose small voltage drop is proportional to the current through it. This shunt resistor calculator finds the resistance for a given full-scale current and millivolt rating, the drop and power at any current, and the reading you should expect — see shunt resistors in instrumentation, and Hall-effect current sensors for an isolated alternative.

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Type in any field to change it. Press × on a value to calculate that field instead.

How to use the shunt resistor calculator

Enter the shunt’s rated current and full-scale millivolt drop (from the nameplate, for example 50 A / 75 mV), and the current you are measuring. The calculator returns the shunt resistance, its power at full scale, and the voltage drop and power at your current. To design a current-sense resistor, enter the current and the drop your amplifier or ADC needs.

Shunt resistor formulas

R = VFS ÷ IFS  ·  V = I × R  ·  P = I² × R

Example

A 50 A / 75 mV DC shunt carrying 30 A:

  • R = 0.075 ÷ 50 = 1.50 mΩ
  • Voltage drop = 30 × 1.50 mΩ = 45 mV
  • Power = 30² × 0.0015 = 1.35 W (full scale: 3.75 W)

Resistance and full-scale power of standard shunts

Rated current 75 mV shunt Power at 75 mV 50 mV shunt Power at 50 mV
5 A 15 mΩ 0.375 W 10 mΩ 0.25 W
10 A 7.5 mΩ 0.75 W 5 mΩ 0.5 W
20 A 3.75 mΩ 1.5 W 2.5 mΩ 1 W
50 A 1.5 mΩ 3.75 W 1 mΩ 2.5 W
100 A 0.75 mΩ 7.5 W 0.5 mΩ 5 W
200 A 0.375 mΩ 15 W 0.25 mΩ 10 W
500 A 0.15 mΩ 37.5 W 0.1 mΩ 25 W
1000 A 0.075 mΩ 75 W 0.05 mΩ 50 W

Notes

  • Low-side shunts are easy to read but lift the load’s ground; high-side shunts need a current-sense amplifier with enough common-mode range.
  • Manganin shunts have a very low temperature coefficient (about 15 ppm/°C), which keeps the reading stable as they warm.
  • Check the ADC resolution against the small shunt signal with the ADC resolution calculator.

Frequently asked questions

How do I calculate shunt resistance?

R = full-scale voltage ÷ full-scale current. A 50 A, 75 mV shunt is 0.075 ÷ 50 = 1.5 mΩ.

How do I convert the shunt voltage back to current?

I = V ÷ R. On a 50 A / 75 mV shunt, every 1.5 mV is 1 A — a 45 mV reading means 30 A. Clear the current and enter the measured millivolts.

How much power does a shunt dissipate?

P = I² R = V × I. The 50 A / 75 mV shunt dissipates 3.75 W at full current. Many manufacturers rate shunts for continuous use at about two-thirds of nameplate current to limit heating and drift.

Why do shunts have four terminals?

The large terminals carry the current; the small sense screws measure the voltage across the calibrated section only (Kelvin connection), so contact and lead resistance do not add error.

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