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dBµV ↔ mV Calculator

Convert Decibel Microvolt (dBµV) and Millivolt (mV) in either direction with standard formulas.

dBµV
mV

Conversion Theory & Math Derivation

Mathematical Formulas:

dBµV to mV: mV = 10^((dBµV - 60) / 20)
mV to dBµV: dBµV = 20 * log10(mV * 1000) = 20 * log10(mV) + 60

Step-by-Step Derivation & Logic:

  1. dBµV is a logarithmic unit of voltage relative to 1 microvolt (µV): V(dBµV) = 20 · log10(V(µV)).
  2. mV is a linear voltage unit. Since 1 mV = 1000 µV, V(µV) = V(mV) · 1000.
  3. Substituting: V(dBµV) = 20 · log10(V(mV) · 1000) = 20 · log10(V(mV)) + 60.
  4. Solving for mV: V(mV) = 10^((V(dBµV) − 60) / 20).

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Real-World Application

LISN and artificial-mains ports report noise in dBµV, while SMPS designers and digital SI engineers still quote rail ripple and noise budgets in millivolts. Converting a receiver peak (or quasi-peak) into mV RMS lets you sanity-check whether a switching harmonic can violate a ±50 mV I/O silence spec or a PMIC UVLO window—long before you open a full compliance test report.

Worked Example

Example: A switching harmonic at the LISN is 90 dBµV (PK). Linear RMS voltage: 10^((90−60)/20) = 10^1.5 ≈ 31.62 mV. Compare that only against other frequency-domain numbers, or further convert with known crest factor if a time-domain limit is written in Vpp.

Common Mistakes & Tips

Spectrum analyzers / EMI receivers report frequency-domain RMS-like detector voltages; oscilloscopes report time-domain Vpp or Vrms of the whole waveform. You cannot equate a single FFT bin's mV (from dBµV) to a scope Vpp without BW, RBW, and crest-factor context.

Frequently Asked Questions

Q: Can I compare this mV to an oscilloscope reading?

A: Only after aligning detector type, bandwidth, and peak-to-average behavior. Receiver dBµV is not an unbounded time-domain peak.

Q: Why is the offset 60 dB between dBµV and mV?

A: 1 mV = 1000 µV and 20·log10(1000) = 60 dB. That constant shifts the log reference from 1 µV to 1 mV.

Q: Does impedance matter for dBµV ↔ mV?

A: No pure impedance factor is embedded in the formula—it is a pure voltage prefix conversion. Impedance matters only if you next convert the millivolts into power.

Where is this used in EMC Standards?

These units are frequently used in official EMC test standards. Explore the limit lines below:

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Purpose of this calculator

Use dBµV↔mV when an EMI receiver, oscilloscope, or voltage limit uses a logarithmic microvolt reference but a bench setup needs linear millivolts.

Formula and variables

For RMS voltage V in mV: V(dBµV) = 20·log10(V) + 60; the inverse is V(mV) = 10^((V(dBµV)−60)/20).

Physical assumptions and scope

The 60 dB shift is only the 1 mV = 1000 µV prefix relation. It does not infer power or impedance and assumes the same voltage convention on both sides.

Valid input scope

Linear input must be positive and finite; zero has no finite logarithmic value. Use the result with the receiver detector, bandwidth, and RMS/peak convention named.

Independently checked test vectors

  1. 80 dBµV → 10 mV(forward)
  2. 10 mV → 80 dBµV(reverse)

Conversion-specific misuse to avoid

Do not call dBµV a power reading or add the 50 Ω dBµV↔dBm offset unless a separate, known port impedance is part of the measurement.

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