A Handbook of Electrical Testing

Cover A Handbook of Electrical Testing
A Handbook of Electrical Testing
Harry Robert Kempe
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In this figure E, and Eg are the electromotive forces to be compared. E and p are adjustable Fio. 45.
resistances, r^ and r^ being the resistances of the batteries. G is the resistance of the galvanometer.
Before equilibrium is obtained we have Ci + Cs — Cs = (»-, + G)C2 + E''3-B,= (n +p)c, + Kc3-Ei=:0.
[1] [2] [3] Bj substituting the value of Cj obtained from equation [1], in equation [2], and then again the value of Cg obtained from equa- tion [2], in equation [3], we shall find that (n-|-p)E
...,-B(E.+E,) or '^'--R{r, + G + r, + p) + {r, + p){r, + G) L=J we put Ca = 0, we get (r,+ p)E,-^E(Ei-E,) = 0, E,(R+n+p) = E.E; E, : E, : : E + n + p : E, [5] E, T , n + p E ~ "^ R [6] It will be observed that in order to get the ratio of E, to E, from this proportion, we must know the resistance ri of the 144 HANDBOOK OF ELECTRICAL TESTING.
battery Ei. If, however, we decrease p to pi and again get equilibrium by readjusting E to Ei, we get a second proportion, viz..
Ex : E, :: Ei + J-i+Pi : Ex, [7] and by combining the two proportions, rx is eliminated in the manner shown in the last test (page 137) and we get Ex^ (E-Ex)+(p- px )^ E2 E — Ex or Ex : E^ : : (E - Ex) + (p - p,) : (E - Ex), [A] a proportion in which differences of resistance alone enter.


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