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Instrumentation

4-20 mA Loop Resistance Budget

Maximum loop resistance a two-wire transmitter can drive from a given supply voltage, and whether the loop you have described has enough headroom.

Inputs

From the transmitter datasheet. Often 10 to 12 V.

Panel indicators, isolators, barriers, additional inputs in series.

About 6.4 for 18 AWG copper and 10.2 for 20 AWG. Use the cable datasheet where you have it.

Calculated reference results

Maximum loop resistance
650ohm
Actual loop resistance
256.4ohm
Headroom
393.6ohm

Comfortable margin.

Wire resistance in the loop
6.40ohm

500 ft, both conductors

Burden at 20 mA
5.13V
Voltage left at the transmitter
18.87V
HART capable
Yes, at least 230 ohm present

HART communication generally needs a minimum loop resistance of about 230 ohm.

The arithmetic

  1. Available voltage = 24.0 V - 11.0 V = 13.0 V
  2. Maximum resistance = 13.0 V / 0.020 A = 650 ohm
  3. Wire = 500 ft x 2 conductors x 6.40 ohm/1000 ft = 6.40 ohm
  4. Total = 250 input + 0 other + 6.40 wire = 256.4 ohm

What this does not account for

  • Full scale is the worst case. A loop with marginal headroom reads correctly at low values and misbehaves as the signal rises, which makes the fault look like a process problem.
  • Intrinsic safety barriers and isolators add significant resistance. Include every series device.
  • Immunity to wire resistance is not immunity to noise. Cable routing, shielding, and single-point shield grounding still matter.

How this is calculated

Maximum loop resistance equals the supply voltage minus the transmitter minimum operating voltage, divided by 0.020 amperes. Full scale is the worst case because the voltage burden is highest there. Running out of headroom produces a loop that tracks correctly at low readings and clips or goes nonlinear near full scale.

Formulas

R_max = (V_supply - V_transmitter_min) / 0.020

  • 0.020 A — full scale, where the voltage burden is highest

Assumptions and limitations built into this calculator

  • Two-wire loop-powered transmitter.
  • Default wire resistance figures are for copper at room temperature. Resistance rises with temperature.
  • Both conductors of the run are counted.

Frequently asked questions

What is the maximum distance for a 4-20 mA signal?
Distance is limited by total loop resistance, not by a fixed length. Work out the available voltage, divide by 0.020 amperes, subtract the receiver and every series device, and the remainder is the wire budget. Several thousand feet of ordinary instrument cable is routinely fine.

Direct contact

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