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Home > Art, Film & Photography > Arithmetic of Electricity; A Practical Treatise on Electrical Calculations of All Kinds Reduced to a Series of Rules, All of the Simplest Forms, and Involving Only Ordinary Arithmetic
Arithmetic of Electricity; A Practical Treatise on Electrical Calculations of All Kinds Reduced to a Series of Rules, All of the Simplest Forms, and Involving Only Ordinary Arithmetic

Arithmetic of Electricity; A Practical Treatise on Electrical Calculations of All Kinds Reduced to a Series of Rules, All of the Simplest Forms, and Involving Only Ordinary Arithmetic


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This historic book may have numerous typos, missing text or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1909. Not illustrated. Excerpt: ... CHAPTER XIV. NOTATION IN POWERS OF TEN. This adjunct to calculations has become almost indispensable in working with units of the C. G. S. system. It consists in using some power of 10 as a multiplier which may be called the factor. The number multiplied may be called the characteristic. The following are the general principles. The power of 10 is shown by an exponent which indicates the number of ciphers in the multiplier. Thus 102 indicates 100; 10s indicates 1000 and so on. The exponent, if positive, denotes an integral number, as shown in the preceding paragraph. The exponent, if negative, denotes the reciprocal of the indicated power of 10. Thus 10 2 indicates ifa; 10l3 indicates Wjps and so on. The compound numbers based on these are reduced by multiplication or division to simple expressions. Thus: 3.14 X 107 = 3.14 X 10,000,000 = 31,400,000. 8.14 X 10 DEGREES = or jjg DEGREESgjj. Re gard must be paid to the decimal point as is done here. To add two or more expressions in this notation if the exponents of the factors are alike in all respects, add the characteristics and preserve the same factor. Thus: (51 X 106) + (54 X 10" )= 105 X 10s. (9.1 X 10-") + (8.7 X 10-') = 17.8 X 10-*. To subtract one such expression from another, subtract the characteristics and preserve the same factor. Thus: (54 X 106) - (51 X 10") = 3 X 10." If the factors have different exponents of the same sign the factor or factors of larger exponent must be reduced to the smaller exponent, by factoring. The characteristic of the expression thus treated is multiplied by the odd factor. This gives a new expression whose characteristic is added to the other, and the factor of smaller exponent is preserved for both. Thus: (5 X 107) + (5 X 109) = (5 X 107) + (5 X 100 X 107) = 505 X ]07. The same applies...


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Product Details
  • ISBN-13: 9781151310842
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1151310840
  • Publisher Date: 01 Jan 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 82 gr


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Arithmetic of Electricity; A Practical Treatise on Electrical Calculations of All Kinds Reduced to a Series of Rules, All of the Simplest Forms, and Involving Only Ordinary Arithmetic
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