The ohm is named for Georg Simon Ohm, aGerman scientist and early electrical pioneer, whodiscovered that there is a constant relationshipbetween the electromotive force (E), the current(I), and the resistance (R) in any electrical circuit.This relationship is expressed in “Ohm’s law” asfollows:From the basic law it follows thatFrom Ohm’s law you can (1) determine anyone of the three values when you know the othertwo and (2) determine what happens in thecircuit when a value is varied.Suppose, for example, that the resistance (R)is increased, while the electromotive force (E)remains the same. It is obvious that the current(I) must drop proportionately. To avoid a dropin the current, it would be necessary to increasethe electromotive force proportionately.When an electrical circuit is open (that is, whenthere is a break in the circuit, such as an openswitch), there is no flow of electrons through thecircuit. When the circuit is closed, however, thecurrent will begin to flow. With a constantelectromotive force (E), the rate at which thecurrent (1) flows will depend on the size of theresistance (R). The size of the resistance willincrease with the number of electrical devices(such as lights, motors, and the like) that areplaced on the circuit, and the amount of POWEReach of these consumes.Power may be defined as “electrical work perunit of time. ” James Watt, another early pioneerin the electrical field, discovered that there is aconstant relationship between the electromotiveforce (E), the current (I), and the powerconsumption (P) in a circuit. This relationship isexpressed in the formula P = IE, from which itfollows thatPower is measured in units called WATTS, awatt being defined as the work done in 1 secondwhen 1 ampere flows under an electromotive forceof 1 volt.Suppose, now, that you have a 110-voltcircuit in your home. The constant E of thiscircuit, then, is 110 volts. In the circuit there isprobably a 15-ampere fuse. A fuse is a device thatwill open the circuit by “burning out” if thecurrent in the circuit exceeds 15 amperes. Thereason for the existence of the fuse is the fact thatthe wiring in the circuit is designed to standsafely a maximum current of 15 amperes. Acurrent in excess of this amount would cause thewiring to become red hot, eventually to “burnout, ” and perhaps to start an electrical fire.Suppose you light a 60-watt bulb on thiscircuit. Your E is 110 volts. By the formulayou know that the current in the circuit with the60-watt bulb on isor about 0.54 amperes, which is well within themargin of safety of 15 amperes. Dividing 15amperes by 0.54 amperes you find that this fusewill protect a 27-lamp circuit.But suppose now that you place on the sameone-lamp circuit an electric toaster taking about1,500 watts (electrical devices are usually markedwith the number of watts they consume) and anelectrical clothes dryer taking about 1,200 watts.The total P is now 60 + 1,500 + 1,200, or 2,760watts. The current will now be2,760110 or 25 amperes. Theoretically, before it reaches thispoint, the 15-ampere fuse will burn out and openthe circuit.Mechanical Power MeasureMechanical power (such as that suppliedby a bulldozer) is measured in units calledFOOT-POUNDS PER SECOND (ft-lb/sec) orFOOT-POUND PER MINUTE (ft-lb/min). Afoot-pound is the amount of energy required toraise 1 lb a distance of 1 ft against the force ofgravity.One HORSEPOWER equals 33,000 ft-lb/secor 550 ft-lb/min. One horsepower equals about746 watts.1-33
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