The Galvanic Circuit Investigated Mathematically

Voorkant
D. Van Nostrand Company, 1891 - 269 pagina's
 

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Pagina 54 - The force of the current in a galvanic circuit is directly as the sum of all the tensions, and inversely as the entire reduced length of the circuit, bearing in mind that at present by reduced length is understood the sum of all the quotients obtained by dividing the actual lengths corresponding to the •homogeneous parts by the product of the corresponding conductivities and sections.
Pagina 70 - ... have not stated the length of wire used, because I find by experiment, as would be expected in theory, that it is indifferent. The same quantity of electricity which, passed in a given time, can heat an inch of platina wire of a certain diameter red hot, can also heat a hundred, a thousand, or any length of the same wire to the same degree, provided the cooling circumstances are the same for every part in all cases.
Pagina 57 - ... or in other words the force of the current is equal to the sum of the electro-motive forces divided by the sum of the resistances.
Pagina 17 - With regard to this first law, I have started from the supposition that the communication of the electricity from one particle takes place directly only to the one next to it, so that no immediate transition from that particle to any other situate at a greater distance occurs. The magnitude of the transition between two adjacent particles, under otherwise exactly similar circumstances, I have assumed as being proportional to the difference of the electric forces existing in the two particles : just...
Pagina 5 - ... in January, 1781, is an anticipation of the law of electric resistance discovered independently by Ohm and published by him in 1827. It was not till long after the latter date that the importance of Ohm's law was fully appreciated, and that the measurement of electric resistance became a recognised branch of research. The exactness of the proportionality between the electromotive force and the current in the same conductor seems, however, to have been admitted, rather because nothing else could...
Pagina 204 - Ohm had shewn, as he did experimentally, that it corresponds to a real physical quantity, that is, that it has a definite value which is altered only when the nature of the conductor is altered. In the first place, then, the resistance of a conductor is independent of the strength of the current flowing through it. In the second place the resistance is independent of the...
Pagina 71 - ... due to resistance is easily separated from that due to self-induction. G generally that if the EMF and section and material of the wire be kept constant, the current will be inversely proportional to the length of the conductor. Again, keeping the EMF, length, and material all constant the current is halved by halving the area of the cross section of the wire. Consequently, if we define resistance as proportional to the length of the wire of constant section, and as inversely proportional to...
Pagina 204 - Kette Mathematisch Bearbeitet, translated in Taylor's Scientific Memoirs. The result of these investigations in the case of homogeneous conductors is commonly called ' Ohm's Law.' Ohm's Law. The electromotive force acting between the extremities of any part of a circuit is the product of the strength of the current and the resistance of that fart of the circuit.
Pagina 103 - It also follows that for this case of electro-chemical decomposition, and it is probable for all cases, that the chemical power, like the magnetic force, is in direct proportion to the absolute quantity of electricity which passes.
Pagina 18 - ... through the interior of the bodies, and consequently only the smallest portion can enter into mutual action with the air ; so that in this case, the dispersion can comparatively be but very inconsiderable. This consequence, deduced from the nature of the circumstances, is confirmed by experiment ; in it lies the reason why the second law seldom comes into consideration. " The mode in which electricity makes its appearance at the place of contact of two different bodies, or the electrical tension...

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