Electronics World articles Popular Electronics articles QST articles Radio & TV News articles Radio-Craft articles Radio-Electronics articles Short Wave Craft articles Wireless World articles Google Search of RF Cafe website Sitemap Electronics Equations Mathematics Equations Equations physics Manufacturers & distributors Engineer Jobs LinkedIn Crosswords Engineering Humor Kirt's Cogitations RF Engineering Quizzes Notable Quotes Calculators Education Engineering Magazine Articles Engineering software RF Cafe Archives RF Cascade Workbook 2018 RF Symbols for Visio - Word Advertising Magazine Sponsor RF Cafe RF Electronics Symbols for Visio RF Electronics Symbols for Office Word RF Electronics Stencils for Visio Sponsor Links Saturday Evening Post NEETS EW Radar Handbook Microwave Museum About RF Cafe Aegis Power Systems Anritsu Alliance Test Equipment Amplifier Solutions Anatech Electronics Axiom Test Equipment Berkeley Nucleonics Bittele Centric RF Conduct RF Copper Mountain Technologies Empower RF everything RF Exodus Advanced Communications Innovative Power Products ISOTEC KR Filters Lotus Systems PCB Directory Rigol RF Superstore San Francisco Circuits Reactel RFCT TotalTemp Technologies Triad RF Systems Windfreak Technologies Withwave LadyBug Technologies Wireless Telecom Group Sponsorship Rates RF Cafe Software Resources Vintage Magazines Thank you for visiting RF Cafe!
Exodus Advanced Communications Best in Class RF Amplifier SSPAs - RF Cafe

Voltage to Power Conversion in a 50 Ω System
(with no DC component)

A lot of people have a hard time converting between power and voltage in 50 Ω systems. The full derivation requires a little extra work because of the use of the root-mean-square value of a sinewave, based on its peak voltage value. Here's how it's done.

The Table of Equivalent Voltages & Powers was generated using an Excel spreadsheet. Equations for the cells are shown at the bottom of the table.

Voltage to Power (for a sinewave with no DC component) in a 50 Ω System

Volts to milliwatts in 50-ohm system equation forumla - RF Cafe

Volts-to-power dBm in 50-ohm system equation forumla - RF Cafe

where Vpk is the peak (not pk-pk) voltage in units of volts

Power to Voltage (for a sinewave with no DC component) in a 50 Ω System

Power -to - volts voltage equation forumla - RF Cafe

Table of Equivalent Voltages & Powers in a 50 Ω System
Vpeak(V) Vrms(V) Vavg(V) P(W) P(mW) P(dBm)
10 7.07107 6.36620 1.00000 1000.00000 30.00000
9 6.36396 5.72958 0.81000 810.00000 29.08485
8 5.65685 5.09296 0.64000 640.00000 28.06180
7 4.94975 4.45634 0.49000 490.00000 26.90196
6 4.24264 3.81972 0.36000 360.00000 25.56303
5 3.53553 3.18310 0.25000 250.00000 23.97940
4 2.82843 2.54648 0.16000 160.00000 22.04120
3.162278 2.23607 2.01317 0.10000 100.00000 20.00000
3 2.12132 1.90986 0.09000 90.00000 19.54243
2 1.41421 1.27324 0.04000 40.00000 16.02060
1 0.70711 0.63662 0.01000 10.00000 10.00000
0.9 0.63640 0.57296 0.00810 8.10000 9.08485
0.8 0.56569 0.50930 0.00640 6.40000 8.06180
0.7 0.49497 0.44563 0.00490 4.90000 6.90196
0.6 0.42426 0.38197 0.00360 3.60000 5.56303
0.5 0.35355 0.31831 0.00250 2.50000 3.97940
0.4 0.28284 0.25465 0.00160 1.60000 2.04120
0.316228 0.22361 0.20132 0.00100 1.00000 0.00000
0.3 0.21213 0.19099 0.00090 0.90000 -0.45757
0.2 0.14142 0.12732 0.00040 0.40000 -3.97940
0.1 0.07071 0.06366 0.00010 0.10000 -10.00000
0.09 0.06364 0.05730 0.00008 0.08100 -10.91515
0.08 0.05657 0.05093 0.00006 0.06400 -11.93820
0.07 0.04950 0.04456 0.00005 0.04900 -13.09804
0.06 0.04243 0.03820 0.00004 0.03600 -14.43697
0.05 0.03536 0.03183 0.00003 0.02500 -16.02060
0.04 0.02828 0.02546 0.00002 0.01600 -17.95880
0.031623 0.02236 0.02013 0.00001 0.01000 -20.00000
0.03 0.02121 0.01910   0.00900 -20.45757
0.02 0.01414 0.01273   0.00400 -23.97940
0.01 0.00707 0.00637   0.00100 -30.00000
0.009 0.00636 0.00573   0.00081 -30.91515
0.008 0.00566 0.00509   0.00064 -31.93820
0.007 0.00495 0.00446   0.00049 -33.09804
0.006 0.00424 0.00382   0.00036 -34.43697
0.005 0.00354 0.00318   0.00025 -36.02060
0.004 0.00283 0.00255   0.00016 -37.95880
0.003162 0.00224 0.00201   0.00010 -40.00000
0.003 0.00212 0.00191   0.00009 -40.45757
0.002 0.00141 0.00127   0.00004 -43.97940
0.001 0.00071 0.00064   0.00001 -50.00000
Formulas Vpk/SQRT(2) Vpk*2/PI() V2pk/(2*50) PW*1000 10*log(PmW)
PCB Directory (Manufacturers)
Innovative Power Products Passive RF Products - RF Cafe
ConductRF Phased Matched RF Cables - RF Cafe
TotalTemp Technologies (Thermal Platforms) - RF Cafe
Exodus Advanced Communications Best in Class RF Amplifier SSPAs

Please Support RF Cafe by purchasing my  ridiculously low−priced products, all of which I created.

These Are Available for Free

 

About RF Cafe

Kirt Blattenberger - RF Cafe Webmaster

Copyright: 1996 - 2024

Webmaster:

    Kirt Blattenberger,

    BSEE - KB3UON

RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The World Wide Web (Internet) was largely an unknown entity at the time and bandwidth was a scarce commodity. Dial-up modems blazed along at 14.4 kbps while tying up your telephone line, and a nice lady's voice announced "You've Got Mail" when a new message arrived...

All trademarks, copyrights, patents, and other rights of ownership to images and text used on the RF Cafe website are hereby acknowledged.

My Hobby Website:

AirplanesAndRockets.com