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LVDT Output Calculator

Convert between core displacement and output voltage for an LVDT (linear variable differential transformer) using its sensitivity and the excitation voltage.

LVDTSensitivity mV/V/mmDisplacementExcitation
mV/V/mm
V
mm
mm
Output voltage600 mV rms
Full scale output1,500 mV rms
Percent of range40 %
Output per mm150 mV/mm
How this result was calculated
  1. Vout = S × Vexc × d = 50 × 3 × 4 = 600 mV
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LVDT Output Formula

Vout = S × Vexc × d
d = Vout ÷ (S × Vexc)

S is the sensitivity in mV per volt of excitation per mm of displacement, Vexc the excitation voltage and d the core displacement from the null position. The output amplitude is proportional to displacement; its phase relative to the excitation shows the direction. Sensitivity is quoted at a specific excitation frequency.

Worked example

An LVDT with 50 mV/V/mm at 3 V excitation gives 150 mV per mm, so a 4 mm displacement gives 600 mV; full scale at ±10 mm is 1500 mV.

Key insight: LVDTs have no contact between core and coils, so they do not wear. They are used on turbine valve position, actuator stroke and precision gauging.
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Frequently Asked Questions

What is an LVDT?

A transformer with one primary and two secondary coils and a movable core. Moving the core changes the coupling, giving an output proportional to displacement.

What is the null position?

The core position where both secondaries are equal and the differential output is near zero.

Does excitation voltage matter?

Yes. Output is proportional to excitation, so use a stable source or a ratiometric signal conditioner.

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