Ohm's Law / Watt's Law Description and Practical Example

Total Page:16

File Type:pdf, Size:1020Kb

Ohm's Law / Watt's Law Description and Practical Example Description and practical example: Ohm’s Law / Watt’s Law Ohm’s Law states the relationship between voltage, current and resistance. Given the relationship between these three elements, once you know any two of them, it is possible to calculate the third. Watt’s Law is similarly useful in figuring out the relationship between power, voltage and current. Electrical properties: - Electromotive Potential, measured in Volts, is represented by V (or E) - Current, measured in Amperes, is represented with the letter I - Resistance, measured in Ohms, is represented by R (or the Greek letter Ω) - Power, measured in watts, is represented by the letter W According to Ohm’s Law : Volts = Current multipied by Resistance V = I * R Current = Volts divided by Resistance I = V / R Resistance = Volts divided by Current R = V / I According to Watt’s Law : Power = Volts multiplied by Current P = V * I Power = Current squared times Resistance P = I2 * R Real world example: Suppose you wanted to figure out how many 500-watt lighting instruments you could plug into a circuit without blowing a fuse. First, you would need to know how much current can be drawn through the circuit. Most homes have 15 amp circuits installed. At MassArt, most of the circuits are on 20 amp circuit breakers. So the total power available would be: W = V x I (Watts = Volts x Amps) or ? = 110 x 20 We multiply the volts times the amps (which are known quantities) and see that: 110v x 20amps = 2200 watts So whatever we plug into our circuit has to be less than 2200 watts, because that’s all the power available in this circuit. Answer: You could safely plug four 500-watt lights into the circuit (or two 1000watt lights) -with a 200watt safety margin..
Recommended publications
  • An Atomic Physics Perspective on the New Kilogram Defined by Planck's Constant
    An atomic physics perspective on the new kilogram defined by Planck’s constant (Wolfgang Ketterle and Alan O. Jamison, MIT) (Manuscript submitted to Physics Today) On May 20, the kilogram will no longer be defined by the artefact in Paris, but through the definition1 of Planck’s constant h=6.626 070 15*10-34 kg m2/s. This is the result of advances in metrology: The best two measurements of h, the Watt balance and the silicon spheres, have now reached an accuracy similar to the mass drift of the ur-kilogram in Paris over 130 years. At this point, the General Conference on Weights and Measures decided to use the precisely measured numerical value of h as the definition of h, which then defines the unit of the kilogram. But how can we now explain in simple terms what exactly one kilogram is? How do fixed numerical values of h, the speed of light c and the Cs hyperfine frequency νCs define the kilogram? In this article we give a simple conceptual picture of the new kilogram and relate it to the practical realizations of the kilogram. A similar change occurred in 1983 for the definition of the meter when the speed of light was defined to be 299 792 458 m/s. Since the second was the time required for 9 192 631 770 oscillations of hyperfine radiation from a cesium atom, defining the speed of light defined the meter as the distance travelled by light in 1/9192631770 of a second, or equivalently, as 9192631770/299792458 times the wavelength of the cesium hyperfine radiation.
    [Show full text]
  • Guide for the Use of the International System of Units (SI)
    Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S.
    [Show full text]
  • Multidisciplinary Design Project Engineering Dictionary Version 0.0.2
    Multidisciplinary Design Project Engineering Dictionary Version 0.0.2 February 15, 2006 . DRAFT Cambridge-MIT Institute Multidisciplinary Design Project This Dictionary/Glossary of Engineering terms has been compiled to compliment the work developed as part of the Multi-disciplinary Design Project (MDP), which is a programme to develop teaching material and kits to aid the running of mechtronics projects in Universities and Schools. The project is being carried out with support from the Cambridge-MIT Institute undergraduate teaching programe. For more information about the project please visit the MDP website at http://www-mdp.eng.cam.ac.uk or contact Dr. Peter Long Prof. Alex Slocum Cambridge University Engineering Department Massachusetts Institute of Technology Trumpington Street, 77 Massachusetts Ave. Cambridge. Cambridge MA 02139-4307 CB2 1PZ. USA e-mail: [email protected] e-mail: [email protected] tel: +44 (0) 1223 332779 tel: +1 617 253 0012 For information about the CMI initiative please see Cambridge-MIT Institute website :- http://www.cambridge-mit.org CMI CMI, University of Cambridge Massachusetts Institute of Technology 10 Miller’s Yard, 77 Massachusetts Ave. Mill Lane, Cambridge MA 02139-4307 Cambridge. CB2 1RQ. USA tel: +44 (0) 1223 327207 tel. +1 617 253 7732 fax: +44 (0) 1223 765891 fax. +1 617 258 8539 . DRAFT 2 CMI-MDP Programme 1 Introduction This dictionary/glossary has not been developed as a definative work but as a useful reference book for engi- neering students to search when looking for the meaning of a word/phrase. It has been compiled from a number of existing glossaries together with a number of local additions.
    [Show full text]
  • Topic 0991 Electrochemical Units Electric Current the SI Base
    Topic 0991 Electrochemical Units Electric Current The SI base electrical unit is the AMPERE which is that constant electric current which if maintained in two straight parallel conductors of infinite length and of negligible circular cross section and placed a metre apart in a vacuum would produce between these conductors a force equal to 2 x 10-7 newton per metre length. It is interesting to note that definition of the Ampere involves a derived SI unit, the newton. Except in certain specialised applications, electric currents of the order ‘amperes’ are rare. Starter motors in cars require for a short time a current of several amperes. When a current of one ampere passes through a wire about 6.2 x 1018 electrons pass a given point in one second [1,2]. The coulomb (symbol C) is the electric charge which passes through an electrical conductor when an electric current of one A flows for one second. Thus [C] = [A s] (a) Electric Potential In order to pass an electric current thorough an electrical conductor a difference in electric potential must exist across the electrical conductor. If the energy expended by a flow of one ampere for one second equals one Joule the electric potential difference across the electrical conductor is one volt [3]. Electrical Resistance and Conductance If the electric potential difference across an electrical conductor is one volt when the electrical current is one ampere, the electrical resistance is one ohm, symbol Ω [4]. The inverse of electrical resistance , the conductance, is measured using the unit siemens, symbol [S].
    [Show full text]
  • Output Watt Ampere Voltage Priority 8Ports 1600Max Load 10Charger
    Active Modular Energy System 1600W Active Power and Control The processors on board the NCore Lite constantly monitor the operating status and all the parameters of voltage, absorption, temperature and battery charge status. The software operates proactively by analyzing the applied loads and intervening to ensure maximum operating life for the priority devices. All in 1 Rack Unit All the functionality is contained in a single rack unit. Hi Speed Switch All actuators and protection diodes have been replaced with low resistance mosfets ensuring instant switching times, efficiency and minimum heat dissi- pation. Dual Processor Ouput NCore Lite is equipped with 2 processors. One is dedicated to the monitoring ports and operation of the hardware part, the other is used for front-end manage- 8 ment. This division makes the system immune from attacks from outside. Watt typ load 1600 Port Status and Battery circuit breaker Ampere Load Indicator 10 charger Voltage OUT selectionable 800W AC/DC 54V Battery Connector Priority External thermistor system OPT 2 8 x OUTPUT ports Status & alarm indicator 9dot Smart solutions for new energy systems DCDC Input Module Hi Efficiency The DCDC Input module is an 800W high efficiency isolated converter with 54V output voltage. With an extended input voltage range between 36V and 75V, it can easily be powered by batteries, DC micro-grids or solar panels. Always on It can be combined with load sharing ACDC Input modules or used as the only power source. In case of overload or insufficient input, it goes into
    [Show full text]
  • The Decibel Scale R.C
    The Decibel Scale R.C. Maher Fall 2014 It is often convenient to compare two quantities in an audio system using a proportionality ratio. For example, if a linear amplifier produces 2 volts (V) output amplitude when its input amplitude is 100 millivolts (mV), the voltage gain is expressed as the ratio of output/input: 2V/100mV = 20. As long as the two quantities being compared have the same units--volts in this case--the proportionality ratio is dimensionless. If the proportionality ratios of interest end up being very large or very small, such as 2x105 and 2.5x10-4, manipulating and interpreting the results can become rather unwieldy. In this situation it can be helpful to compress the numerical range by taking the logarithm of the ratio. It is customary to use a base-10 logarithm for this purpose. For example, 5 log10(2x10 ) = 5 + log10(2) = 5.301 and -4 log10(2.5x10 ) = -4 + log10(2.5) = -3.602 If the quantities in the proportionality ratio both have the units of power (e.g., 2 watts), or intensity (watts/m ), then the base-10 logarithm log10(power1/power0) is expressed with the unit bel (symbol: B), in honor of Alexander Graham Bell (1847 -1922). The decibel is a unit representing one tenth (deci-) of a bel. Therefore, a figure reported in decibels is ten times the value reported in bels. The expression for a proportionality ratio expressed in decibel units (symbol dB) is: 10 푝표푤푒푟1 10 Common Usage 푑퐵 ≡ ∙ 푙표푔 �푝표푤푒푟0� The power dissipated in a resistance R ohms can be expressed as V2/R, where V is the voltage across the resistor.
    [Show full text]
  • Relationships of the SI Derived Units with Special Names and Symbols and the SI Base Units
    Relationships of the SI derived units with special names and symbols and the SI base units Derived units SI BASE UNITS without special SI DERIVED UNITS WITH SPECIAL NAMES AND SYMBOLS names Solid lines indicate multiplication, broken lines indicate division kilogram kg newton (kg·m/s2) pascal (N/m2) gray (J/kg) sievert (J/kg) 3 N Pa Gy Sv MASS m FORCE PRESSURE, ABSORBED DOSE VOLUME STRESS DOSE EQUIVALENT meter m 2 m joule (N·m) watt (J/s) becquerel (1/s) hertz (1/s) LENGTH J W Bq Hz AREA ENERGY, WORK, POWER, ACTIVITY FREQUENCY second QUANTITY OF HEAT HEAT FLOW RATE (OF A RADIONUCLIDE) s m/s TIME VELOCITY katal (mol/s) weber (V·s) henry (Wb/A) tesla (Wb/m2) kat Wb H T 2 mole m/s CATALYTIC MAGNETIC INDUCTANCE MAGNETIC mol ACTIVITY FLUX FLUX DENSITY ACCELERATION AMOUNT OF SUBSTANCE coulomb (A·s) volt (W/A) C V ampere A ELECTRIC POTENTIAL, CHARGE ELECTROMOTIVE ELECTRIC CURRENT FORCE degree (K) farad (C/V) ohm (V/A) siemens (1/W) kelvin Celsius °C F W S K CELSIUS CAPACITANCE RESISTANCE CONDUCTANCE THERMODYNAMIC TEMPERATURE TEMPERATURE t/°C = T /K – 273.15 candela 2 steradian radian cd lux (lm/m ) lumen (cd·sr) 2 2 (m/m = 1) lx lm sr (m /m = 1) rad LUMINOUS INTENSITY ILLUMINANCE LUMINOUS SOLID ANGLE PLANE ANGLE FLUX The diagram above shows graphically how the 22 SI derived units with special names and symbols are related to the seven SI base units. In the first column, the symbols of the SI base units are shown in rectangles, with the name of the unit shown toward the upper left of the rectangle and the name of the associated base quantity shown in italic type below the rectangle.
    [Show full text]
  • The Kibble Balance and the Kilogram
    C. R. Physique 20 (2019) 55–63 Contents lists available at ScienceDirect Comptes Rendus Physique www.sciencedirect.com The new International System of Units / Le nouveau Système international d’unités The Kibble balance and the kilogram La balance de Kibble et le kilogramme ∗ Stephan Schlamminger , Darine Haddad NIST, 100 Bureau Drive, Gaithersburg, MD 20899, USA a r t i c l e i n f o a b s t r a c t Article history: Dr. Bryan Kibble invented the watt balance in 1975 to improve the realization of the unit Available online 25 March 2019 for electrical current, the ampere. With the discovery of the Quantum Hall effect in 1980 by Dr. Klaus von Klitzing and in conjunction with the previously predicted Josephson effect, Keywords: this mechanical apparatus could be used to measure the Planck constant h. Following a Unit of mass proposal by Quinn, Mills, Williams, Taylor, and Mohr, the Kibble balance can be used to Kilogram Planck constant realize the unit of mass, the kilogram, by fixing the numerical value of Planck’s constant. Kibble balance In 2017, the watt balance was renamed to the Kibble balance to honor the inventor, who Revised SI passed in 2016. This article explains the Kibble balance, its role in the redefinition of the Josephson effect unit of mass, and attempts an outlook of the future. Quantum Hall effect Published by Elsevier Masson SAS on behalf of Académie des sciences. This is an open access article under the CC BY-NC-ND license Mots-clés : (http://creativecommons.org/licenses/by-nc-nd/4.0/).
    [Show full text]
  • Feeling Joules and Watts
    FEELING JOULES AND WATTS OVERVIEW & PURPOSE Power was originally measured in horsepower – literally the number of horses it took to do a particular amount of work. James Watt developed this term in the 18th century to compare the output of steam engines to the power of draft horses. This allowed people who used horses for work on a regular basis to have an intuitive understanding of power. 1 horsepower is about 746 watts. In this lab, you’ll learn about energy, work and power – including your own capacity to do work. Energy is the ability to do work. Without energy, nothing would grow, move, or ​ change. Work is using a force to move something over some distance. ​ ​ work = force x distance Energy and work are measured in joules. One joule equals the work done (or energy ​ ​ used) when a force of one newton moves an object one meter. One newton equals the ​ ​ force required to accelerate one kilogram one meter per second squared. How much energy would it take to lift a can of soda (weighing 4 newtons) up two meters? work = force x distance = 4N x 2m = 8 joules Whether you lift the can of soda quickly or slowly, you are doing 8 joules of work (using 8 joules of energy). It’s often helpful, though, to measure how quickly we are ​ ​ doing work (or using energy). Power is the amount of work (or energy used) in a given ​ ​ amount of time. http://www.rdcep.org/demo-collection page 1 work power = time Power is measured in watts. One watt equals one joule per second.
    [Show full text]
  • A HISTORICAL OVERVIEW of BASIC ELECTRICAL CONCEPTS for FIELD MEASUREMENT TECHNICIANS Part 1 – Basic Electrical Concepts
    A HISTORICAL OVERVIEW OF BASIC ELECTRICAL CONCEPTS FOR FIELD MEASUREMENT TECHNICIANS Part 1 – Basic Electrical Concepts Gerry Pickens Atmos Energy 810 Crescent Centre Drive Franklin, TN 37067 The efficient operation and maintenance of electrical and metal. Later, he was able to cause muscular contraction electronic systems utilized in the natural gas industry is by touching the nerve with different metal probes without substantially determined by the technician’s skill in electrical charge. He concluded that the animal tissue applying the basic concepts of electrical circuitry. This contained an innate vital force, which he termed “animal paper will discuss the basic electrical laws, electrical electricity”. In fact, it was Volta’s disagreement with terms and control signals as they apply to natural gas Galvani’s theory of animal electricity that led Volta, in measurement systems. 1800, to build the voltaic pile to prove that electricity did not come from animal tissue but was generated by contact There are four basic electrical laws that will be discussed. of different metals in a moist environment. This process They are: is now known as a galvanic reaction. Ohm’s Law Recently there is a growing dispute over the invention of Kirchhoff’s Voltage Law the battery. It has been suggested that the Bagdad Kirchhoff’s Current Law Battery discovered in 1938 near Bagdad was the first Watts Law battery. The Bagdad battery may have been used by Persians over 2000 years ago for electroplating. To better understand these laws a clear knowledge of the electrical terms referred to by the laws is necessary. Voltage can be referred to as the amount of electrical These terms are: pressure in a circuit.
    [Show full text]
  • The ST System of Units Leading the Way to Unification
    The ST system of units Leading the way to unification © Xavier Borg B.Eng.(Hons.) - Blaze Labs Research First electronic edition published as part of the Unified Theory Foundations (Feb 2005) [1] Abstract This paper shows that all measurable quantities in physics can be represented as nothing more than a number of spatial dimensions differentiated by a number of temporal dimensions and vice versa. To convert between the numerical values given by the space-time system of units and the conventional SI system, one simply multiplies the results by specific dimensionless constants. Once the ST system of units presented here is applied to any set of physics parameters, one is then able to derive all laws and equations without reference to the original theory which presented said relationship. In other words, all known principles and numerical constants which took hundreds of years to be discovered, like Ohm's Law, energy mass equivalence, Newton's Laws, etc.. would simply follow naturally from the spatial and temporal dimensions themselves, and can be derived without any reference to standard theoretical background. Hundreds of new equations can be derived using the ST table included in this paper. The relation between any combination of physical parameters, can be derived at any instant. Included is a step by step worked example showing how to derive any free space constant and quantum constant. 1 Dimensions and dimensional analysis One of the most powerful mathematical tools in science is dimensional analysis. Dimensional analysis is often applied in different scientific fields to simplify a problem by reducing the number of variables to the smallest number of "essential" parameters.
    [Show full text]
  • Energy and Power Units and Conversions
    Energy and Power Units and Conversions Basic Energy Units 1 Joule (J) = Newton meter × 1 calorie (cal)= 4.18 J = energy required to raise the temperature of 1 gram of water by 1◦C 1 Btu = 1055 Joules = 778 ft-lb = 252 calories = energy required to raise the temperature 1 lb of water by 1◦F 1 ft-lb = 1.356 Joules = 0.33 calories 1 physiological calorie = 1000 cal = 1 kilocal = 1 Cal 1 quad = 1015Btu 1 megaJoule (MJ) = 106 Joules = 948 Btu, 1 gigaJoule (GJ) = 109 Joules = 948; 000 Btu 1 electron-Volt (eV) = 1:6 10 19 J × − 1 therm = 100,000 Btu Basic Power Units 1 Watt (W) = 1 Joule/s = 3:41 Btu/hr 1 kiloWatt (kW) = 103 Watt = 3:41 103 Btu/hr × 1 megaWatt (MW) = 106 Watt = 3:41 106 Btu/hr × 1 gigaWatt (GW) = 109 Watt = 3:41 109 Btu/hr × 1 horse-power (hp) = 2545 Btu/hr = 746 Watts Other Energy Units 1 horsepower-hour (hp-hr) = 2:68 106 Joules = 0.746 kwh × 1 watt-hour (Wh) = 3:6 103 sec 1 Joule/sec = 3:6 103 J = 3.413 Btu × × × 1 kilowatt-hour (kWh) = 3:6 106 Joules = 3413 Btu × 1 megaton of TNT = 4:2 1015 J × Energy and Power Values solar constant = 1400W=m2 1 barrel (bbl) crude oil (42 gals) = 5:8 106 Btu = 9:12 109 J × × 1 standard cubic foot natural gas = 1000 Btu 1 gal gasoline = 1:24 105 Btu × 1 Physics 313 OSU 3 April 2001 1 ton coal 3 106Btu ≈ × 1 ton 235U (fissioned) = 70 1012 Btu × 1 million bbl oil/day = 5:8 1012 Btu/day =2:1 1015Btu/yr = 2.1 quad/yr × × 1 million bbl oil/day = 80 million tons of coal/year = 1/5 ton of uranium oxide/year One million Btu approximately equals 90 pounds of coal 125 pounds of dry wood 8 gallons of
    [Show full text]