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Standard 2-wire loop-powered transmitter power budget (Ohm's law)8 min read

Worked Example: Voltage Budget for a 1000-Foot 4-20mA Transmitter Loop

A 24 V loop-powered transmitter at the far end of a 1000-foot run — checking it still gets enough terminal voltage at the worst-case 20 mA signal, and how much farther the same wire gauge could actually reach.

Scenario

Loop supply voltage24 V
Transmitter minimum terminal voltage (at 20 mA)12 V
Receiver / PLC input impedance250 Ω
Wire gauge22 AWG (16.14 Ω per 1000 ft)
One-way cable run1000 ft

Step-by-step calculation

Step 1: Compute round-trip wire resistance

Rwire = 2 x L x (Ω per 1000 ft) / 1000
2 x 1000 x 16.14 / 1000
Rwire = 32.28 Ω

Step 2: Find total loop resistance and worst-case wire voltage drop

Rtotal = Rwire + Rreceiver Vdrop(wire) = 20 mA x Rwire
32.28 + 250 = 282.28 Ω; 0.020 x 32.28
Rtotal = 282.28 Ω, wire voltage drop = 0.646 V at 20 mA

Step 3: Find voltage actually available at the transmitter terminals

Vtransmitter = Vsupply - (20 mA x Rtotal)
24 - (0.020 x 282.28)
Vtransmitter = 18.35 V

Step 4: Check headroom against the transmitter's minimum requirement

headroom = Vtransmitter - Vmin
18.35 - 12
headroom = 6.35 V — passes with real margin

Step 5: Find the maximum cable length this wire gauge could support

maxLoopOhms = (Vsupply - Vmin) / 20 mA; maxLength = (maxLoopOhms - Rreceiver) / (2 x Ω per unit length)
(24-12)/0.020 = 600 Ω available; (600-250) / (2 x 0.01614)
maxCableLength ≈ 10,843 ft — this run could be more than 10x longer before starving the transmitter

Result summary

CheckRequirementActualStatus
Transmitter terminal voltage at 20 mA≥ 12 V18.35 V✓ PASS
Headroom≥ 0 V6.35 V✓ PASS
This 1000 ft, 22 AWG loop delivers 18.35 V to the transmitter at worst-case 20 mA — 6.35 V of headroom above its 12 V minimum — and the same wire gauge and supply could actually support a run of nearly 10,843 ft before the transmitter would starve.

Key insight: The voltage budget check always has to use 20 mA (the worst case), not the loop's typical operating current — wire voltage drop is highest exactly when the loop is signaling its maximum value, which is precisely the condition that must never cause the transmitter to starve for voltage and clip its own output.

Try it with your own numbers

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Frequently asked questions

What happens if a second device (like a local indicator) is added to the loop?

Any additional series resistance — an indicator, a second barrier, an isolator — adds directly to Rtotal in the same way the receiver resistance does, reducing both the transmitter's available terminal voltage and the maximum supportable cable length. This calculator's 'other Ω' input exists specifically to let additional loop components be included in the same budget rather than being overlooked.

Would a heavier wire gauge meaningfully extend the maximum run?

Yes — resistance per unit length drops roughly by half with each two-gauge step up (e.g. 22 AWG to 18 AWG cuts resistance to about 40% of the 22 AWG value), which directly multiplies the maximum supportable length for the same voltage budget. For genuinely long runs approaching a wire gauge's practical limit, stepping up gauge is often more effective than trying to increase supply voltage, which has its own upper limits from device and barrier ratings.

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