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 LinkedIn Crosswords Engineering Humor Kirt's Cogitations RF Engineering Quizzes Notable Quotes Calculators Education Engineering Magazine Articles Engineering software RF Cafe Archives Magazine Sponsor RF Cafe Sponsor Links Saturday Evening Post NEETS EW Radar Handbook Microwave Museum About RF Cafe Aegis Power Systems Alliance Test Equipment Centric RF Empower RF ISOTEC Reactel RF Connector Technology San Francisco Circuits Anritsu Amplifier Solutions Anatech Electronics Axiom Test Equipment Conduct RF Copper Mountain Technologies Exodus Advanced Communications Innovative Power Products KR Filters LadyBug Technologies Rigol TotalTemp Technologies Werbel Microwave Windfreak Technologies Wireless Telecom Group Withwave Sponsorship Rates RF Cafe Software Resources Vintage Magazines RF Cafe Software WhoIs entry for RF Cafe.com Thank you for visiting RF Cafe!
LadyBug RF Power Sensors

Innovative Power Products Passive RF Products - RF Cafe

Innovative Power Products Resistors Terminations

Transformer Turns Ratio Nomogram
November 1965 Electronics World

November 1965 Electronics World

November 1965 Electronics World Cover - RF Cafe  Table of Contents

Wax nostalgic about and learn from the history of early electronics. See articles from Electronics World, published May 1959 - December 1971. All copyrights hereby acknowledged.

Nomograms (aka nomographs) have always been a great method of providing a quick visual means of relating various quantities to each other. Careful adjustment of the numerical scales allows a straight line to be drawn between any two values to determine the value of the third (or more). An extreme example is the Link Coupling Nomogram which uses two straight line scales and a curve graph. As can be seen in this Transformer Turns Ratio Nomogram from a 1965 issue of Electronics World magazine, a square root function (TR=√Z1/Z2) can be easily accommodated with a straight line from the input impedance scale to the output impedance scale, and extending it to the third turns ratio (TR) scale. A similar nomogram can be constructed for turns ratio needed for specific input and output voltage, current, or power. A list of many other nomographs/nomograms is given at the bottom of the page.

Transformer Turns Ratio Nomogram

Transformer Turns Ratio Nomogram, November 1965 Electronics World - RF CafeBy Max H. Applebaum

Warwick Electronic Inc., Pacific Mercury Div.

Simple method of determining the turns ratio for transformers employed for impedance matching.

This nomogram aids in the computation of the turns ratio for transformers used for impedance matching. The basic equation for the turns ratio is T.R. = √Z1/Z2, where Z1 is the primary impedance, Z2 is the secondary impedance, and T.R. is the turns ratio N1/N2.

The method of solution is illustrated in the example below.

Values other than those shown on the scales may be used by multiplying them by 10n where n may be positive or negative. If Z1 and Z2 are both multiplied by 10n, then T.R. remains unchanged. If only Z1 is multiplied by 10n, then T.R. is multiplied by 10n/2. If only Z2 is multiplied by 10n, then T.R. is multi-plied by 10-n/2. Using even values of n will simplify the con-version of scales.

Example: Find the turns ratio required for an audio output transformer to match a plate impedance of 500,000 ohms to a speaker whose impedance is 8 ohms.

Solution, Draw a straight line from 5000 on the Z1 scale to 8 on the Z2 scale. The line crosses the T.R. scale at 25. Since Z1 was multiplied by 100 then T.R. must be multiplied by 10. The turns ratio is therefore 250/1.

 

 

Posted December 22, 2022

Nomographs / Nomograms Available on RF Cafe:

- Parallel Series Resistance Calculator

- Transformer Turns Ratio Nomogram

- Symmetrical T and H Attenuator Nomograph

- Amplifier Gain Nomograph

- Decibel Nomograph

- Voltage and Power Level Nomograph

- Nomograph Construction

- Nomogram Construction for Charts with Complicating Factors or Constants

- Link Coupling Nomogram

- Multi-Layer Coil Nomograph

- Delay Line Nomogram

- Voltage, Current, Resistance, and Power Nomograph

- Resistor Selection Nomogram

- Resistance and Capacitance Nomograph

- Capacitance Nomograph

- Earth Curvature Nomograph

- Coil Winding Nomogram

- RC Time-Constant Nomogram

- Coil Design Nomograph

- Voltage, Power, and Decibel Nomograph

- Coil Inductance Nomograph

- Antenna Gain Nomograph

- Resistance and Reactance Nomograph

- Frequency / Reactance Nomograph

Exodus Advanced Communications Best in Class RF Amplifier SSPAs - 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 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...

Copyright  1996 - 2026

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 | My Daughter's Website: EquineKingdom

Cafe Press

Werbel Microwave (power dividers, couplers)

withwave microwave devices - RF Cafe