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Level Measurement · Free Calculator

Radar Level Time of Flight Calculator

Understand how radar level transmitters turn echo time into level. Convert time of flight to distance and level, and see the effect of the medium on guided wave radar interface measurement.

Time of flightDistance to levelGuided wave radarDielectric constant
ns
εr
Distance to surface2.9979 m
Level3.0021 m
Propagation speed299.79 × 10⁶ m/s
Time per mm6.671 ps
How this result was calculated
  1. c = c₀ ÷ √εr = 299,792,000 m/s
  2. d = c × t ÷ 2 = 2.9979 m
  3. Level = reference height − d = 3.0021 m
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Radar Time of Flight

d = c × t ÷ 2, c = c₀ ÷ √εr
Level = Href − d

c₀ = 299,792,458 m/s. In air and most vapours εr ≈ 1. Below an oil layer in guided wave radar interface measurement, the pulse slows by √εr of the oil.

Worked example

An echo returns after 20 ns: d = 3 × 10⁸ × 20 × 10⁻⁹ ÷ 2 = 3.0 m. With a 6 m reference height, the level is 3.0 m.

Key insight: one millimetre of level is only about 6.7 picoseconds of round trip time, which is why radar uses frequency or equivalent time sampling rather than direct timing.
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Frequently Asked Questions

How does a radar level transmitter measure level?

It sends microwave pulses or a frequency sweep to the surface and measures the time or frequency shift of the echo, which gives distance.

What is the effect of the dielectric constant?

Low εr liquids reflect weakly, making the echo small. For guided wave interface measurement, εr of the upper layer also sets the speed in that layer.

Does vapour or pressure affect radar?

Very little for most applications. Only dense vapours such as high pressure steam slow the signal noticeably.

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