Electrical Resistance vs Heat Generated Why lower electrical resistance produces more heat
ELECTRICAL RESISTANCE vs HEAT GENERATED - CONTENTS: explanation of how & why changing the electrical resistance in a circuit changes the heat generated, using a thermostat heat anticipator as an example.
InspectAPedia tolerates no conflicts of interest. We have no relationship with advertisers, products, or services discussed at this website.
What is the relationship between electrical resistance and heat generated by a wire, circuit or electrical device?
This article uses an older Honeywell T87 type thermostat heat anticipator device to explain the relationship between electrical resistance and heat generated by a wire when current flows through it.
In the related article series we explain how adjusting the heat anticipator pointer changes the heat output of the anticipator that in turn changes the behavior of the room thermostat to turn the burner off sooner or later with respect to the actual room temperature.
Our page top photo illustrates key parts of a traditional room thermostat including the temperature sensing device, thermostat switch, and the heat anticipator assembly.
About the photo above: The imprint "LONGER" is seen at the low-number end of the Amps scale on this thermostat heat exchanger. However a closer examination of Honeywell T87 Thermostats will show that on nearly all of them properly produced with the word "LONGER" stamped at the low-number end of the scale also sport an arrow pointing towards the higher numbers. [Click to enlarge any image]
Honeywell was saying: for longer heat-on times move the pointer in the direction of the arrow (towards higher Amps numbers). I think they printed Longer where they did because that'w where the scale's design gave room for the text.
Reply:don't confuse resistance (Ohms - Ω ) with current (Amps)
The labeling of numbers and arrows on a thermostat heat anticipator circuit can be confusing but the following are true on that circuit:
Higher numbersOn the Honeywell thermostat heat anticipator scale and on most other thermostats refer to higher current measured in Amps.
Higher current flow through the heat anticipator wire means that more heat will be produced. The heat anticipator is getting a constant 24VAC.
This is in accordance with Joule's first law, or the Joule-Lenz law that tells us that
The amount of heat or power of heating generated by an electrical conductor is proportional to the product of its resistance and the square of the current. P = I2 R
Generating more heat at the heat anticipator will turn the heating system off sooner - it is "anticipating" the temperature to which the heating system will raise the room around the thermostat for a brief time after the heater has actually turned off.
Generating less heat at the heat anticipator will allow the heating system to stay on longer - it is NOT "anticipating" or "pre-warming" the thermostat to fool it into thinking the set temperature has been reached
Higher numbers on the heat anticipator Current scale in Amps means heat stays on longer
Current flowing through a wire that acts as a resistor will convert electrical energy to heat.
If we keep the voltage unchanged and just change the length of a wire, a longer wire produces more resistance to current flow (resistance in Ohms) and a shorter wire produces less resistance to current flow.
Less Electrical Resistance = More current flow = more heat is produced
More Electrical Resistance = Less current flow = less heat is produced
The use of a thin nichrome or chromium wire in a heat anticipator is chosen because at the same total resistance of the electrical circuit, that wire will both reach a higher wire-temperature than would a thick copper wire, and it will also resist burning up when heated.
That's true even though that thin chromium wire is itself considered "high resistance" wire - a fact that can lead us astray.
To get the same total resistance the copper wire would be about 50x longer than the chromium wire and would thus be able to dissipate 50x more heat over its length than would the chromium wire.
Example: the heat given off by a resistor is its energy loss I2R. Keeping Voltage AND Resistance fixed, I = Voltage / Resistance and heat produced is given by (V / R)2 (R)= V2 / R.
When we lower the resistance R we will see more current and thus more heat.
Really? That's counter-intuitive to the general observation that "if it's easier for electricity to flow through a wire then it loses less energy so gives off less heat.
Here's what an electronics forum discussion explained: two things can be true at once:
Any given resistor can dissipate the same amount of power. It just depends on the product of voltage and current
P = V x I or Power = Volts x Amps
Since V = I x R and I = V / R the expression for the power can be rewritten as
P = V x (V / R) or
P = V2 / R
P = (I x R) x I or
P = I2 x R
The first equation (P = V x I ) suggests that a higher resistance would be better [to obtain a higher current]
while the second (P = I2 x R ) shows that a lower resistance would be better [to obtain a higher voltage or less voltage drop]
So it depends on the application if it is easier to generate a higher current or a higher voltage and you have to choose the resistor accordingly.
Sources & Discussion of Which Heats-up more: high-resistance wire or low-resistance wire circuits
"Is higher or lower resistance wire able to heat up more?, Electrical Engineering StackExchange, retrieved 2017/10/31, original source: https://electronics.stackexchange.com/ questions/219212/is-higher-or-lower-resistance-wire-able-to-heat-up-more-are-there-other-factors
"Resistance of a heating element", Physics Forums, retrieved 2017/10/30, original source: https://www.physicsforums.com/threads/resistance-of-a-heating-element.5608/
Paraphrasing, adapting, and commenting on the above: If the electrical resistance in a circuit is very low, electrons can move right through without losing much energy [in the form of heat], whereas if the resistance is high the electrons meet resistance, lose energy, and that lost energy is given off as heat. (P=VI & V= IR).
But we also see that P=VI is not a measure of heat, it's a measure of power.
The heat given off by a resistor is I 2 R
When we keep the same voltage (24VAC on a thermostat heat anticipator circuit) if we keep the same resistance (Ohms) then the heat produced is given by (V/R)2 (R) = V2 R.
Dividing the square of the voltage by the circuit resistance means that as we lower the resistance we see more heat produced.
Why does this make sense for the little heater in the thermostat's heat anticipator? Because for that circuit, the little heater wire is the only thing in the circuit. Nothing else is limiting current flow through that little wire, so it gets warm - or even hot.
Conversely, in a house wire circuit that say powers a light bulb or a toaster, the bulb or toaster is providing a much higher resistance than the circuit wire bringing power to that device. So the device heats up enormously more than the circuit wire itself. (And of course the circuit wire is #14 or #12 coppe wire while the heating up wires in the light bulb (tungsten) or toaster (nichrome wire) are quite thin.
Here are the most-helpful comments of this explanatory discussion:
If you use a very large resistance for the element, it drops the majority of the voltage, but limits the current and you get little heating in the element.
If you use a very small resistance, most of the voltage is dropped across the internal resistance of the battery, and you get little voltage across the element and you get little heating.
If you plot the heat (wattage usage) of the element vs the resistance of the element, you will find that the maximum occurs when the Element's resistance equals that of the internal resistance of the source.
This is also the reason for impedance matching in electronic circuits; The maximum signal strength is transfered when the impedance of output and input match.
If you use a very small resistance AND the circuit design is such that the voltage drop is across the resistance of the heating-wire-circuit, [nothing else in the circuit is limiting current flow] you will get more heating. That's what we have in a heat anticipator internal-nichrome-wire-heater device.
The comparatively large #18 copper thermostat wire has maybe 50 times less resistance than the short length of nichrome wire in the thermostat heat anticipator's heater. So the 24VAC fed into the little heater warms up the nichrome wire - where it's functioning similarly to the filament in a light bulb fed by #14 copper wire in a house circuit.
When we adjust the heat anticipator to a higher Amps number we shorten the nichrome wire to lower its resistance still further, more current is pushed through it and it gets still hotter. - Ed.
Does Setting the Thermostat Heat Anticipator to a Higher Number Cause our Heating System to Run Longer?
Let's look at our little heat anticipator mechanism shown above.
On all of Honeywell's heat anticipators, either by the direction of an arrow or by the imprint of the word LONGER we are told that the LOWER Amps (current) numbers on the heat anticipator scale will run the heat longer.
That's because at higher currents (Amps) more heat will be generated while at at lower currents less heat is generated in the wire that comprises the heat anticipator's actual heater.
When the heat anticipator generates more heat (higher Amps) it is pre-warming the thermostat's temperature sensor more so heat shuts off sooner or the heater runs for a shorter time.
As we slide the heat anticipator pointer to the left (towards 1.2A - the highest number on the scale), keeping voltage the same, current will run through a SHORTER length of nichrome wire - the total resistance will be less, more current flows, the wire will get more hot, and heat generated by the heat anticipator will be more.
When the heat anticipator generates less heat (lower Amps) it pre-warms the thermostat's temperature sensor less so heat shuts off later,or the heater runs for a longer time.
As we slide the heat anticipator pointer towards the right (towards 0.10A), current has to run through a longer length of nichrome wire - resistance will be more, the current flow will be less, and the heat generated by the heat anticipator will be less.
When the heat anticipator generates less heat it is warming the thermostat's bimetallic spring less, so the thermostat thinks the room is cooler, so the building heating system will run slightly longer and a bit more heat will be delivered to the building from its heating system.
Basically, electrical resistance (measured in Ohms) is the resistance of a wire to the flow of electrical current. Electrical energy is needed to push current (measured in Amps) through a the resistance of a wire. That electrical energy will be dissipated in the form of heat, heating up the wire in the process.
This heating is called Joule heating (James Prescott Joule) or ohmic heating or resistive heating.
The formula for Joule Heating (P) (JOULES HEATING LAW) tells us that the amount of heat generated by a wire is proportional to the product of its resistance and the square of the current passing through it, or
P = I2 R
P = power or energy (converted from electrical energy to heat) or the heat produced by a resistor (or wire)
I = current (amps) through the resistor or wire
R = resistance (Ohms)
Ohm's Law (OHM's LAW) says that the current through a wire is proportional to the voltage, or
I = V / R
I = current through the wire (in Amps)
V = voltage measured across the wire (in Volts)
R = resistance of the wire (in Ohms)
If we keep Voltage unchanged and Resistance unchanged
I = V/R or Current = Volts / Resistance,
and looking at the two formulas we just gave, we can substitute (V/R) for I and the
heat produced is
(V/R)2 x R = V2 / R
Which tells us that lower resistance (R) will produce higher current. Therefore lower resistance produces more heat.
So why don't low-resistance building electrical wires get really hot? Because most of the voltage drop is across the load (light bulb, toaster, dishwasher) rather than across the wire.
It is the resistance of the load, the appliance, light bulb, or whatever the electrical circuit is powering that limits current flow through the electricl wire in a normal building circuit.
In fact if the appliance has a short circuit or failure so that it begins to pass more current than is safe for the circuit, the circuit breaker is designed to open or trip to stop the flow of electricity.
Details about electrical resistance heating
Other readers commented that previously we had not properly explained the properties of electrical resistance and that longer heat on times would be associated with less heat output from the heat anticipator that would occur at higher rather than lower resistance.
The wire wound resistor used in a heat anticipator converts some electrical power into heat. The electrical resistance of a conductor is responsible for the generation of heat.
Joules Law Describes Joule Heating or ohmic heating or resistive heating
This discussion is now found at JOULES HEATING LAW - live link is given just below.
Continue reading at HEAT ANTICIPATOR OPERATION or select a topic from closely-related articles below, or see our complete INDEX to RELATED ARTICLES below.
Or see JOULES HEATING LAW - Definitions & an explanation of resistive heating or resistance heating, ohmic heating, & Joules Heating
Try the search box below or CONTACT US by email if you cannot find the answer you need at InspectApedia.
Room thermostat heat anticipator questions and answers posted originally here are now found at HEAT ANTICIPATOR FAQs
Ask a Question or Search InspectApedia
Use the "Click to Show or Hide FAQs" link just above to see recently-posted questions, comments, replies, try the search box just below, or if you prefer, post a question or comment in the Comments box below and we will respond promptly.
 Proliphix Corporate Headquarters, 3 LAN Drive Suite #100, Westford, MA 01886 Phone: +1.978.692.3375 Toll Free (U.S.): 866-IP-LIVING (866.475.4846) Fax: +1.978.692.3378 - Sales: email@example.com Marketing: firstname.lastname@example.org Customer support: email@example.com http://www.proliphix.com/ - quoting from the company's website: All Proliphix Network Thermostats come with our free Uniphy Remote Management Service. This unique offering lets you monitor and control your HVAC systems by simply pointing your Browser to our secure Proliphix Web Site. Enjoy the convenience of programming a thermostat from any location, using a simple graphical interface. No computer equipment or software is required. And since Proliphix takes care of the network configuration for you, you’ll be up and running in no time. We’ll even proactively monitor your thermostats and send you an immediate email or SMS message when an HVAC problem is detected.
 "The Nest Learning Thermostat", Nest Thermostat, 900 Hansen Way
Palo Alto, CA 94304, Tel: 855-4MY-NEST, Email: firstname.lastname@example.org, website http://www.nest.com/, retrieved 1/24/2013.
 Honeywell Controls, the company wants you to use their contact form at this web page: http://www51.honeywell.com/honeywell/contact-support/contact-us.html
Honeywell Consumer Products,
39 Old Ridgebury Road Danbury, CT 06810-5110 - (203) 830-7800
World Headquarters, Honeywell International Inc.,
101 Columbia Road,
Morristown, NJ 07962,
Phone: (973) 455-2000,
Fax: (973) 455-4807 1-800-328-5111
 White Rodgers Thermostats and HVAC controls,
Homeowner information: http://www.emersonclimate.com/en-US/brands/white_rodgers/Pages/wr-homeowner-info.aspx
Contractor information: http://www.emersonclimate.com/en-US/brands/white_rodgers/wr_contractor_info/Pages/white-rodgers-contractor-info.aspx
White Rodgers Product Catalog (don't misspell the company's name as White Rogers Thermostats) -
http://www.emersonclimate.com/Documents/thermostats.pdf - Thermostat Catalogue
 Domestic Central Heating Wiring Systems and Controls, 2d Ed., Raymond Ward, Newnes, ISBN-10: 0750664363, ISBN-13: 978-0750664363, Quoting from Amazon.com:
This unique A-Z guide to central heating wiring systems provides a comprehensive reference manual for hundreds of items of heating and control equipment, making it an indispensable handbook for electricians and installers across the country. The book provides comprehensive coverage of wiring and technical specifications, and now includes increased coverage of combination boilers, recently developed control features and SEDBUK (Seasonal Efficiency of Domestic Boilers in the UK) boilers ratings, where known.
In addition to providing concise details of nearly 500 different boilers fuelled by electric, gas, oil and solid fuel, and over 400 programmers and time switches, this invaluable resource also features numerous easy-to-understand wiring diagrams with notes on all definitive systems. Brief component descriptions are provided, along with updated contact and website details for most major manufacturers.
 Domestic and Commercial Oil Burners, Charles H. Burkhardt, McGraw Hill Book Company, New York 3rd Ed 1969.
 National Fuel Gas Code (Z223.1) $16.00 and National Fuel Gas Code Handbook (Z223.2) $47.00 American Gas Association (A.G.A.), 1515 Wilson Boulevard, Arlington, VA 22209 also available from National Fire Protection Association, Batterymarch Park, Quincy, MA 02269. Fundamentals of Gas Appliance Venting and Ventilation, 1985, American Gas Association Laboratories, Engineering Services Department. American Gas Association, 1515 Wilson Boulevard, Arlington, VA 22209. Catalog #XHO585. Reprinted 1989.
 The Steam Book, 1984, Training and Education Department, Fluid Handling Division, ITT [probably out of print, possibly available from several home inspection supply companies] Fuel Oil and Oil Heat Magazine, October 1990, offers an update,
 Principles of Steam Heating, $13.25 includes postage. Fuel oil & Oil Heat Magazine, 389 Passaic Ave., Fairfield, NJ 07004.
 The Lost Art of Steam Heating, Dan Holohan, 516-579-3046 FAX
Principles of Steam Heating, Dan Holohan, technical editor of Fuel Oil and Oil Heat magazine, 389 Passaic Ave., Fairfield, NJ 07004 ($12.+1.25 postage/handling).
 "Residential Hydronic (circulating hot water) Heating Systems", Instructional Technologies Institute, Inc., 145 "D" Grassy Plain St., Bethel, CT 06801 800/227-1663 [home inspection training material] 1987
 "Warm Air Heating Systems". Instructional Technologies Institute, Inc., 145 "D" Grassy Plain St., Bethel, CT 06801 800/227-1663 [home inspection training material] 1987
 Heating, Ventilating, and Air Conditioning Volume I, Heating Fundamentals,
 Boilers, Boiler Conversions, James E. Brumbaugh, ISBN 0-672-23389-4 (v. 1) Volume II, Oil, Gas, and Coal Burners, Controls, Ducts, Piping, Valves, James E. Brumbaugh, ISBN 0-672-23390-7 (v. 2) Volume III, Radiant Heating, Water Heaters, Ventilation, Air Conditioning, Heat Pumps, Air Cleaners, James E. Brumbaugh, ISBN 0-672-23383-5 (v. 3) or ISBN 0-672-23380-0 (set) Special Sales Director, Macmillan Publishing Co., 866 Third Ave., New York, NY 10022. Macmillan Publishing Co., NY
 Installation Guide for Residential Hydronic Heating Systems
 Installation Guide #200, The Hydronics Institute, 35 Russo Place, Berkeley Heights, NJ 07922
 The ABC's of Retention Head Oil Burners, National Association of Oil Heat Service Managers, TM 115, National Old Timers' Association of the Energy Industry, PO Box 168, Mineola, NY 11501. (Excellent tips on spotting problems on oil-fired heating equipment. Booklet.)
 Trane TCONT800 Series Touch Screen Programmable Comfort Control Ownes Guide, American Standard, Inc., Troup Highway, Tyler TX 75711, January 2005, Telephone: Customer Service: 1-877-3381, website: www.trane.com
 RTI Electronics. "NTC Thermistor Product Guide",
1999, RTI Electronics, Inc., 1800 E. Via Burton St., Anaheim CA 92806, Tel: 714-630-0081
Wikipedia provided background information about some topics discussed at this website provided this citation is also found in the same article along with a " retrieved on" date. NOTE: because Wikipedia entries are fluid and can be amended in real time, we cite the retrieval date of Wikipedia citations and we do not assert that the information found there is necessarily authoritative.
Books & Articles on Building & Environmental Inspection, Testing, Diagnosis, & Repair
Carson, Dunlop & Associates Ltd., 120 Carlton Street Suite 407, Toronto ON M5A 4K2. Tel: (416) 964-9415 1-800-268-7070 Email: email@example.com. The firm provides professional home inspection services & home inspection education & publications. Alan Carson is a past president of ASHI, the American Society of Home Inspectors. Thanks to Alan Carson and Bob Dunlop, for permission for InspectAPedia to use text excerpts from The Home Reference Book & illustrations from The Illustrated Home. Carson Dunlop Associates' provides extensive home inspection education and report writing material.
The Illustrated Home illustrates construction details and building components, a reference for owners & inspectors. Special Offer: For a 5% discount on any number of copies of the Illustrated Home purchased as a single order Enter INSPECTAILL in the order payment page "Promo/Redemption" space.
TECHNICAL REFERENCE GUIDE to manufacturer's model and serial number information for heating and cooling equipment, useful for determining the age of heating boilers, furnaces, water heaters is provided by Carson Dunlop, Associates, Toronto - Carson Dunlop Weldon & Associates Special Offer: Carson Dunlop Associates offers InspectAPedia readers in the U.S.A. a 5% discount on any number of copies of the Technical Reference Guide purchased as a single order. Just enter INSPECTATRG in the order payment page "Promo/Redemption" space.
The Home Reference Book - the Encyclopedia of Homes, Carson Dunlop & Associates, Toronto, Ontario, 25th Ed., 2012, is a bound volume of more than 450 illustrated pages that assist home inspectors and home owners in the inspection and detection of problems on buildings. The text is intended as a reference guide to help building owners operate and maintain their home effectively. Field inspection worksheets are included at the back of the volume.
Special Offer: For a 10% discount on any number of copies of the Home Reference Book purchased as a single order. Enter INSPECTAHRB in the order payment page "Promo/Redemption" space. InspectAPedia.com editor Daniel Friedman is a contributing author.
Special Offer: Carson Dunlop Associates offers InspectAPedia readers in the U.S.A. a 5% discount on these courses: Enter INSPECTAHITP in the order payment page "Promo/Redemption" space. InspectAPedia.com editor Daniel Friedman is a contributing author.
The Horizon Software System manages business operations,scheduling, & inspection report writing using Carson Dunlop's knowledge base & color images. The Horizon system runs on always-available cloud-based software for office computers, laptops, tablets, iPad, Android, & other smartphones