Applications of Dynamics to Physics And Chemistry

Cover Applications of Dynamics to Physics And Chemistry
Applications of Dynamics to Physics And Chemistry
J J Joseph John Thomson
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Dfi^ or neglecting Q 2 dO dO d where ?/, z/, w are the components of the current.
58. Thermal phenomena arising from this term.
We can see by equation (113) that H the heat required by unit volume to prevent the temperature from changing when a quantity of electricity Sf passes through it parallel to the axis of x is given by the equation 8ff = (that part of the electromotive force which arises from the part of the energy corre- sponding to the sensible heat) 8f; thus the part of $7? which aris
...es from this term is given by so that when quantities of electricity Bf t $g, S/z pass parallel to the axes of x, y, z respectively then *TT nil d Q dff \*f ( d& d \* ^fn d6 -f= Q {\y-j- ft -r)f + \ a ^r ~y^~ %" + (P7r~^r ^\\ r dy ^ dzJ \ dz r dxj 6 \ dx dy or, if u, v, w are the components of current parallel to the axes of x, y, z respectively and 8t the time the displacement takes, then since S/=z/S/; $g=vto; U = w&, we have 120 DYNAMICS.
If X, Y, Z are the mechanical forces acting on unit volume of the conductor arising from the action of the magnetic field on the currents flowing through the volume X=n{yv-Pw} Y= JJL {aw yu] Z=p{pu-av}, where /x is the magnetic permeability, combining these equations with (135) we see that dx dy So that if the action of the mechanical force on the current tends to make the substance conveying the current move in the direction in which heat is flowing, then when Q is negative, heat must be abstracted from the substance to keep its temperature constant when currents of electricity flow through it.


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