EIRP Calculator

Calculate Effective Isotropic Radiated Power from transmitter power, antenna gain, and cable losses with link budget and power density analysis.

EIRP
55.0 dBm
316.23 W effective isotropic radiated power
ERP
52.9 dBm
192.75 W effective radiated power (dipole reference)
TX Power (dBm)
50.0 dBm
20.0 dBW transmitter output
Antenna Gain (dBi)
6.0 dBi
Gain referenced to isotropic radiator
Free Space Path Loss
91.5 dB
At 900 MHz over 1000 m
Received Power
-36.5 dBm
Power at an isotropic receive antenna at the specified distance
Power Density
2.52e-5 W/mยฒ
RF power density at the specified distance

Signal Strength vs Distance

10 m
3.5 dBm
50 m
-10.5 dBm
100 m
-16.5 dBm
500 m
-30.5 dBm
1 km
-36.5 dBm
5 km
-50.5 dBm

Link Budget Table

DistanceFSPL (dB)Rx Power (dBm)Power Density (W/mยฒ)
10 m51.53.52.52e-1
50 m65.5-10.51.01e-2
100 m71.5-16.52.52e-3
500 m85.5-30.51.01e-4
1 km91.5-36.52.52e-5
5 km105.5-50.51.01e-6
10 km111.5-56.52.52e-7
Planning notes, formulas, and examples

About the EIRP Calculator

The EIRP (Effective Isotropic Radiated Power) calculator determines the total radiated power in the direction of maximum antenna gain, accounting for transmitter output power, antenna gain, and cable/connector losses. EIRP is the fundamental parameter in RF link budget analysis and regulatory compliance.

EIRP represents the power that would need to be fed to a hypothetical isotropic antenna (radiating equally in all directions) to produce the same signal strength in the direction of maximum gain as the actual antenna system. It combines transmitter power (in dBm or watts), antenna gain (in dBi), and feed system losses (cable, connectors, filters) into a single figure that describes the system's radiated performance.

Telecommunications engineers, amateur radio operators, and wireless system designers use EIRP for link budget calculations, regulatory compliance verification, RF safety assessments, and coverage planning. This calculator supports multiple power and gain units, computes both EIRP and ERP, and provides a complete link budget showing received power and power density at various distances.

When This Page Helps

EIRP calculation is essential for RF system design, from Wi-Fi access points and cellular base stations to satellite communications and amateur radio. This calculator simplifies link budget analysis by combining transmitter power, antenna gain, and losses into EIRP, then projecting signal strength at various distances. It's indispensable for compliance verification and coverage planning.

How to Use the Inputs

  1. Enter the transmitter output power in your preferred unit (W, mW, dBm, or dBW)
  2. Enter the antenna gain in dBi (isotropic reference) or dBd (dipole reference)
  3. Enter total cable and connector losses in dB
  4. Specify the operating frequency in MHz for path loss calculations
  5. Enter a target distance for received power and field strength analysis
  6. Review EIRP, ERP, free space path loss, and power density results
  7. Use the link budget table to assess coverage at various distances
Formula used
EIRP (dBm) = P_tx (dBm) + G_antenna (dBi) โˆ’ L_cable (dB). ERP (dBm) = EIRP โˆ’ 2.15 dB. FSPL (dB) = 20ยทlogโ‚โ‚€(d) + 20ยทlogโ‚โ‚€(f) โˆ’ 147.55 where d is in meters and f is in Hz. Power density S = EIRP / (4ฯ€dยฒ).

Example Calculation

Result: 55.0 dBm EIRP (316.2 W)

100 W = 50 dBm. With 6 dBi antenna gain minus 1 dB cable loss: EIRP = 50 + 6 โˆ’ 1 = 55 dBm = 316.2 W. At 1 km and 900 MHz, FSPL โ‰ˆ 91.5 dB, giving received power of โˆ’36.5 dBm.

Tips & Best Practices

  • Always subtract cable and connector losses โ€” they can be significant at frequencies above 1 GHz
  • Check regional EIRP limits before deploying any wireless system
  • Use dBi for EIRP calculations; convert from dBd by adding 2.15 dB
  • At 5 GHz, even 10 m of standard coax can lose 6+ dB โ€” use low-loss cable or mount the radio at the antenna
  • For indoor propagation, add 10โ€“20 dB to free space path loss to account for walls and multipath

When To Use This Calculator

Calculate Effective Isotropic Radiated Power from transmitter power, antenna gain, and cable losses with link budget and power density analysis. Use it when you need a repeatable calculation in the physics / general category and want the setup, result, and supporting values kept together. This is especially helpful when small input changes, unit choices, or rounding decisions can change the final number.

How To Check The Result

Start by confirming that the inputs match the formula shown on the page. Then compare the main output with the worked example and any secondary values shown by the calculator. If the result will be used in another calculation, keep extra precision until the final step and record the assumptions beside the number.

Practical Notes

Treat the result as a calculation aid rather than a substitute for context. For schoolwork, include the formula and substitution steps. For planning, technical, financial, or health-related decisions, verify important numbers against primary records, current rules, or a qualified professional before acting on them.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • EIRP references an isotropic antenna, while ERP references a half-wave dipole. ERP = EIRP โˆ’ 2.15 dB, since a dipole has 2.15 dBi gain.