. Electricity simplified. The practice and theory of electricity ... ple this isgiven in the expression, or 99$ nearly. Such calculations are given in the mathematics ofthe science. The point to be established here is thatrelative resistances of conductors carrying constantcurrents define the expenditure of energy upon suchconductors. The energy may appear as heat, as me-chanical work, or as chemical decomposition. Thework done is due to a fall of potential along a con-ductor, and the fall is determined by the relations ofresistances. DIAGRAMS OF CIRCUITS. 47 The subject may be analyzed diagra


. Electricity simplified. The practice and theory of electricity ... ple this isgiven in the expression, or 99$ nearly. Such calculations are given in the mathematics ofthe science. The point to be established here is thatrelative resistances of conductors carrying constantcurrents define the expenditure of energy upon suchconductors. The energy may appear as heat, as me-chanical work, or as chemical decomposition. Thework done is due to a fall of potential along a con-ductor, and the fall is determined by the relations ofresistances. DIAGRAMS OF CIRCUITS. 47 The subject may be analyzed diagrammatically,remembering that the identical current goes throughall parts of a circuit, and that all fractions of the lineare subject to Ohms law. Thus we may let a hori-zontal line represent the length of an electric circuit,say, 1,000 feet. At one end a vertical line may repre-sent the total electromotive force. Obviously, then,a diagonal forming the hypothenuse of the trianglewill represent the average falling of potential downthe line of wire or other ; of a. Circuit Fig. 4.—Diagram of Fall of Potential. But suppose that the line for equal lengths variesin resistance. Thus, assume that one-tenth the re-sistance is included in the first quarter, or 250 feet;then that 250 feet of fine wire are in the line, repre-senting one-half the total resistance; then that thenext 250 feet represents one-quarter of the total re-sistance; while the remaining resistance, or fifteenone-hundredths, is in the next and last section of 250feet. Ohms law tells us that the fall in potentialvaries with the resistance. Hence our diagram mustshow for the four parts of our line of 1,000 feet afall proportional to the resistance of each section. 48 ELECTRICITY SIMPLIFIED. The diagram produced in this way is given angle of inclination of the separate lines indi-cates the fall of potential or electromotive force ex-pended on each section. This gives a pictorial re


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Keywords: ., bookcentury1800, bookdecade1890, bookidel, booksubjectelectricity