Elements of Construction for Electro-Magnets
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Let us suppose tliat we have a battery composed of n elements ; we will take a for the number of groups which should be joined for tension — i.e. by opposite poles — and i for the number of elements joined for quantity in each group — by similar poles.
If we want an expression for the intensity of the current of each of these groups, by representing by r the resistance of one element, by E the resist- ance of the circuit, and E the electro-motive force of a single element, we have, according to... Ohm's formula with respect to the grouping for quantity 1= ^ and if we join for tension all these groups, of which the number is represented by a, we have a E ^, ab'E T = or i = ar ar-^oR -J+ a This formula, as well as that of Ohm, is susceptible of maximum, ior al = n and I = - ; so that the a equation becomes nE E r = ar + - R a ar R + n a and the denominator being, with respect to a, con- which is a/ -^- or simply Arrangement of the Battery. 77 r E sidered as variahle, ? ; we obtain the maximum n a conditions by making ^ = 0, ov a = \/ » and as a = -=- , we can also obtain the value of b, n R "' "'"^^•' a We could, however, perfectly demonstrate this deduction by simple reasoning, without the inter- vention of differential calculation, as I have shown in the first volume of my ' Expose des applications de I'electricite ' (page 158).
What to read after Elements of Construction for Electro-Magnets?
You can find similar books in the "Read Also" column, or choose other free books by Du Moncel, Th., Comte, 1821-1884 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Let us suppose tliat we have a battery composed of n elements ; we will take a for the number of groups which should be joined for tension — i.e. by opposite poles — and i for the number of elements joined for quantity in each group — by similar poles.
If we want an expression for the intensity of the current of each of these groups, by representing by r the resistance of one element, by E the resist- ance of the circuit, and E the electro-motive force of a single element, we have, according to... Ohm's formula with respect to the grouping for quantity 1= ^ and if we join for tension all these groups, of which the number is represented by a, we have a E ^, ab'E T = or i = ar ar-^oR -J+ a This formula, as well as that of Ohm, is susceptible of maximum, ior al = n and I = - ; so that the a equation becomes nE E r = ar + - R a ar R + n a and the denominator being, with respect to a, con- which is a/ -^- or simply Arrangement of the Battery. 77 r E sidered as variahle, ? ; we obtain the maximum n a conditions by making ^ = 0, ov a = \/ » and as a = -=- , we can also obtain the value of b, n R "' "'"^^•' a We could, however, perfectly demonstrate this deduction by simple reasoning, without the inter- vention of differential calculation, as I have shown in the first volume of my ' Expose des applications de I'electricite ' (page 158).
What to read after Elements of Construction for Electro-Magnets?
You can find similar books in the "Read Also" column, or choose other free books by Du Moncel, Th., Comte, 1821-1884 to read onlineMoreLess
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