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 Engineering Event Calendar RF Engineering Quizzes USAF radar shop Notable Quotes App Notes Calculators Education Engineering Magazines Engineering magazine articles Engineering software Engineering smorgasbord RF Cafe Archives RF Cascade Workbook 2018 RF Stencils for Visio RF & EE Shapes for Word Advertising RF Cafe Homepage Sudoku puzzles Thank you for visiting RF Cafe!
RF Stencils for Visio v3.1 by 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)
107.071076.366201.000001000.0000030.00000
96.363965.729580.81000810.0000029.08485
85.656855.092960.64000640.0000028.06180
74.949754.456340.49000490.0000026.90196
64.242643.819720.36000360.0000025.56303
53.535533.183100.25000250.0000023.97940
42.828432.546480.16000160.0000022.04120
3.1622782.236072.013170.10000100.0000020.00000
32.121321.909860.0900090.0000019.54243
21.414211.273240.0400040.0000016.02060
10.707110.636620.0100010.0000010.00000
0.90.636400.572960.008108.100009.08485
0.80.565690.509300.006406.400008.06180
0.70.494970.445630.004904.900006.90196
0.60.424260.381970.003603.600005.56303
0.50.353550.318310.002502.500003.97940
0.40.282840.254650.001601.600002.04120
0.3162280.223610.201320.001001.000000.00000
0.30.212130.190990.000900.90000-0.45757
0.20.141420.127320.000400.40000-3.97940
0.10.070710.063660.000100.10000-10.00000
0.090.063640.057300.000080.08100-10.91515
0.080.056570.050930.000060.06400-11.93820
0.070.049500.044560.000050.04900-13.09804
0.060.042430.038200.000040.03600-14.43697
0.050.035360.031830.000030.02500-16.02060
0.040.028280.025460.000020.01600-17.95880
0.0316230.022360.020130.000010.01000-20.00000
0.030.021210.01910 0.00900-20.45757
0.020.014140.01273 0.00400-23.97940
0.010.007070.00637 0.00100-30.00000
0.0090.006360.00573 0.00081-30.91515
0.0080.005660.00509 0.00064-31.93820
0.0070.004950.00446 0.00049-33.09804
0.0060.004240.00382 0.00036-34.43697
0.0050.003540.00318 0.00025-36.02060
0.0040.002830.00255 0.00016-37.95880
0.0031620.002240.00201 0.00010-40.00000
0.0030.002120.00191 0.00009-40.45757
0.0020.001410.00127 0.00004-43.97940
0.0010.000710.00064 0.00001-50.00000
FormulasVpk/SQRT(2)Vpk*2/PI()V2pk/(2*50)PW*100010*log(PmW)
Triad RF Systems PCB Directory (Assembly)
QuinStar Technology (Millimeter Wave Solutions) - RF Cafe Axiom Test Equipment - RF Cafe
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 Internet was still largely an unknown entity at the time and not much was available in the form of WYSIWYG ...

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

spacer