Power Change & Range

See how increasing or reducing antenna input power changes estimated range under the same propagation conditions.

Power & Propagation

New minus old power. Positive adds power; negative reduces it.

Ideal unobstructed far-field propagation, with all other link terms held fixed.

Range at your required received level before the power change. Leave blank for relative results.

Estimated Range Multiplier

1.41 ×

At the same required received signal level. Free space · n = 2.

Range change
+41.25 %
Estimated new range
141.25 m
Power change
3 dB
Power multiplier
2 ×
Range Comparison Shared linear scale
Original100 m
After change141.25 m

This estimates the power-limited range in the direction whose transmit power changes. Two-way communication can still be limited by the return link.

Model & assumptions

Compare power supplied at the same antenna input before and after the change. With both powers in the same linear units, the signed power difference in dB is:

ΔPdB=10log⁡10 ⁣(P2P1)\Delta P_{\mathrm{dB}}=10\log_{10}\!\left(\frac{P_2}{P_1}\right)

When the levels are in dBm, subtract the original level from the new one. Positive dB means more power; negative dB means less power. Use the same average-power convention and reference plane for both values.

Keep the receiver’s required signal level and margin fixed. The log-distance model uses path-loss change 10nlog⁡10(r2/r1)10n\log_{10}(r_2/r_1), where nn is a positive path-loss exponent. Equating that change to the extra available power gives:

r2r1=10ΔPdB/(10n),Δr[%]=100 ⁣(r2r1−1)\frac{r_2}{r_1}=10^{\Delta P_{\mathrm{dB}}/(10n)},\qquad\Delta r[\%]=100\!\left(\frac{r_2}{r_1}-1\right)

Free space has n=2n=2. A custom exponent describes the assumed or measured loss slope over the distances being compared; no single value represents every building or outdoor path. Frequency, antenna performance, polarization, receiver requirement and other fixed losses stay unchanged.

A starting range supplies the length scale. It must refer to the same receive-level requirement before the power change:

r2=r1 10ΔPdB/(10n)r_2=r_1\,10^{\Delta P_{\mathrm{dB}}/(10n)}

This is a one-way, power-limited estimate. A reverse link, obstruction, interference, fading or a change of propagation regime can limit practical range. Increasing one transmitter’s power does not strengthen the unchanged return transmission.

For example, +6 dB and n=2 give 1.9952623× range, or +99.5262%. An illustrative starting range of 100 m at the receiver requirement becomes about 199.53 m. Exactly four times the power would give exactly twice the free-space range.

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