
Quick answer
A "current rating" question on a conventional public-address (PA) system splits into two different calculations that are often confused. On the loudspeaker side, line current is set by the total power tapped on a constant-voltage (100 V / 70.7 V) line and follows directly from Ohm's law: Iline = Pload ÷ Uline. On the networked side, "bandwidth" is not a current at all — it is the payload rate of the digital audio link or of a control/VoIP integration, and it is rated in bit/s, not amperes. This article defines both quantities, gives the working formulas, shows a worked example, and then lists where the formulas stop being trustworthy.
1. Two parameters that share one question
1.1 Line current rating (analogue, constant-voltage)
Parameter definition: the RMS current that a loudspeaker line draws from the amplifier output at a stated line voltage and stated total load. Units: amperes (A), RMS, at the nominal line voltage (for example 100 V). It is a derived figure, not usually a nameplate rating on speakers — loudspeaker taps are marked in watts precisely because that keeps the arithmetic independent of the line voltage in use.
1.2 Interface bandwidth (digital or control)
Parameter definition: the data rate required to carry the audio and/or control streams of the system over a network or interface. Units: bit/s (kbit/s, Mbit/s, Gbit/s). For a VoIP-paging or networked-audio integration this is the codec payload rate; for control buses it is the message rate. There is no "current" here, and no Ohm's-law shortcut.
2. Formulas and variables
2.1 Loudspeaker line current
- Iline = Pload ÷ Uline (RMS amperes)
- Pload = Σ (tap wattage × number of loudspeakers on the circuit)
- Rline = Uline² ÷ Pload (the impedance the amplifier "sees")
- Uline must be the same nominal voltage the taps were chosen for (100 V taps on a 100 V line).
Because P = U·I, a 100 W load on a 100 V line draws 1 A RMS and presents 100 Ω; the same 100 W load on a 70.7 V line draws about 1.41 A and presents 50 Ω. The power is the same; the current is not. Never carry a tap figure across line voltages — a tap's wattage is defined at its own nominal voltage.
2.2 Amplifier capacity in watts, not amperes
Amplifier capacity is specified in watts of rated output, at a stated distortion limit and load, so sizing is done in watts: do not connect more tapped load than the amplifier's rated output, and in practice keep a margin so that transformer insertion loss, cable loss and tap tolerances do not push the amplifier into clipping. The size of that margin is a design decision, not a standard value — it depends on programme type, loudspeaker tap granularity and how much load can be muted or isolated during paging.
2.3 Cable loss per run
The line is a two-wire circuit carrying real current, so voltage drop matters:
- Loop resistance Rloop = 2 × ρ × L ÷ A (ρ ≈ 0.0175 Ω·mm²/m for annealed copper at 20 °C; L in metres of run; A in mm²)
- Fraction of voltage lost ≈ Rloop ÷ (Rloop + Rline)
- Power lost ≈ Iline² × Rloop
Loss rises with the square of current for a fixed cable, which is why long 100 V runs are sensitive to cable cross-section even though the current looks small.
2.4 Digital link bandwidth
For an uncompressed PCM channel: bit rate = sample rate × bit depth × channel count. For compressed or packetised audio, use the published stream bit rate per channel, add packet overhead, and add a provisioning allowance for control, monitoring and other traffic. Both inputs — sample rate/depth and stream rate — are specification items to read from the device datasheet rather than assume.
3. Worked example (illustrative arithmetic, not a product specification)
Take a paging zone on a 100 V line with six ceiling loudspeakers tapped at 6 W and four horn loudspeakers tapped at 15 W:
- Pload = (6 × 6) + (4 × 15) = 36 + 60 = 96 W
- Iline = 96 ÷ 100 = 0.96 A RMS
- Rline = 100² ÷ 96 ≈ 104 Ω
- Cable: 40 m run of 2 × 1.5 mm² → Rloop = 2 × 0.0175 × 40 ÷ 1.5 ≈ 0.93 Ω → voltage loss ≈ 0.93 ÷ (0.93 + 104) ≈ 0.9 % → power lost ≈ 0.96² × 0.93 ≈ 0.86 W
- Against an amplifier rated at 120 W, the 96 W tapped load leaves 20 % of rated output unassigned. That is a common starting point for a voice-paging zone, but it is not a rule of any standard.
Repeat the same load on a 70.7 V system only if the taps are 70.7 V taps: 96 W ÷ 70.7 V ≈ 1.36 A.
4. Units and assumptions you must state
- RMS vs peak: the I = P/U relation uses RMS values for a stated waveform. It is not a peak-current rating, and not a surge rating for inrush or DC offset.
- Test conditions of the wattage figure: an amplifier's rated output is only comparable when the distortion limit, bandwidth, load impedance and test duration are the same. IEC 60268-3 (edition 5.0, 2018-04) defines amplifier characteristics and their measurement methods, and datasheets normally quote the condition alongside the watt figure.
- Tap tolerance and losses: transformer taps carry a tolerance band and a transformer insertion loss; the tapped wattage is a nominal figure, not measured delivered acoustic power.
- Programme content: a sine-wave test signal and speech/music have different crest factors, so the long-term thermal load on a line is lower than the mathematical peak for real programme material.
- Supervision and emergency operation: voice-alarm systems add requirements on line supervision, fault isolation and standby supply that go beyond load arithmetic — they come from the applicable alarm-system standards (EN 54 series), not from the PA calculation itself.
5. How to read the specification
- Read the load figure as the total tapped wattage per amplifier output, per zone and per circuit — three different numbers if the design is zoned.
- Read the current figure as a cable-sizing and terminal-rating parameter, not as an amplifier sizing parameter.
- Read the bandwidth figure as a network and codec parameter. A purely analogue 100 V system has no IP bandwidth requirement; a system with IP paging stations and a networked-audio backplane has one per station and per link.
- When two datasheets give "power" without a distortion limit and load, treat the comparison as unusable rather than as approximate.
6. Where the formulas stop working
- Multiple amplifier outputs: the simple division assumes one source driving one line; ratings add per output, not per chassis.
- Branched lines: branch currents combine with differing cable resistance; calculate per branch and sum the loads rather than averaging currents.
- Low-frequency content: transformer loading at low frequencies can differ markedly from the mid-band nominal tap figure; a 100 V line sized for paging is not automatically a full-range music line.
- Supervised lines: DC supervisory current or pilot tones are not the audio current, and a line's fault-detection threshold is a separately specified parameter.
- Digital links: the bit-rate formula gives payload only. It says nothing about latency, jitter, switch capacity or whether the network is provisioned for prioritised audio traffic.
7. A short worksheet
- List every loudspeaker per circuit with its tap voltage and tap wattage.
- Sum the wattages → Pload.
- Divide by the line voltage → Iline; compute Rline if the amplifier specifies a minimum load impedance.
- Compute loop resistance from cable length and cross-section → voltage drop and power loss as a percentage.
- Compare Pload with the amplifier's rated output at its stated test conditions, and record the margin you chose.
- For any networked element, record the published stream bit rate per channel and the control/monitoring overhead separately.
For related specification reading on load, output and test-condition issues, see the other entries in Performance & Capacity.
Source and version record
- IEC 60268-3:2018, Sound system equipment – Part 3: Amplifiers, edition 5.0, 2018-04 — defines amplifier characteristics and measurement methods; consult the standard itself for the exact test conditions before comparing wattage figures. IEC Webstore
- EN 54-16 and the wider EN 54 series — source for the supervision, fault-isolation and standby requirements referred to in section 4; the applicable edition is the one cited in the project specification.
- Copper resistivity value used: ρ ≈ 0.0175 Ω·mm²/m at 20 °C (annealed copper), a material constant rather than a product rating.
- Document date: 2026-11-12. All worked figures above are illustrative arithmetic on the stated inputs, not measurements of any product.