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3 Wire RTD Calculation

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3 Wire RTD Calculation

Linear resistance-to-temperature for a Pt-style RTD: T ≈ (R−R0)/(R0·α). Three-wire hookups reduce lead error in real instruments; this math is the same simple linear bridge estimate.

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What is 3 Wire RTD Calculation?

Calculates temperature from a 3-wire RTD by compensating lead-wire resistance to reduce measurement error.

3 Wire RTD Calculation Formula / Method

Rsensor=Rmeasured−RleadR_sensor = R_measured − R_lead
T=(RT−R0)/(α×R0)T = (R_T − R_0) / (α × R_0)
RT=R0(1+AT+BT2)R_T = R_0(1 + AT + BT^2)

3 Wire RTD Calculation Worked Example

Rmeasured=138.5Ω,Rlead=0.9ΩR_measured=138.5Ω, R_lead=0.9Ω
Rsensor=137.6ΩR_sensor=137.6Ω
T=(137.6−100)/(0.00385×100)=97.66°CT=(137.6−100)/(0.00385×100)=97.66°C

Without compensation: 100.0°C (2.34°C error)

Where 3 Wire RTD Calculation Is Applied

  • Industrial process monitoring
  • HVAC calibration
  • Food processing control
  • Power plant and pipeline monitoring

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