. The London, Edinburgh and Dublin philosophical magazine and journal of science . 2» X) u~y, H = 1t;2 first equation is X(>--t) + 0-X)j: + ... = 0 ■], 238 Mr. E. C. Rimington on and we have an additional equation, —Xi;0 = v/C,whence uX = cX2i?0. Thus the subsequent investigation is the same as that of thelast section if we replace L by CX2, and the condition ofzero-deflection is aMb + d2=CX*m*. XXVIII. Note on Comparing E. C. Remington*. LET two condensers, of capacities KY and K2, be con-nected to the arms A and D of a Wheatstone-bridge,as shown in woodcut; andlet
. The London, Edinburgh and Dublin philosophical magazine and journal of science . 2» X) u~y, H = 1t;2 first equation is X(>--t) + 0-X)j: + ... = 0 ■], 238 Mr. E. C. Rimington on and we have an additional equation, —Xi;0 = v/C,whence uX = cX2i?0. Thus the subsequent investigation is the same as that of thelast section if we replace L by CX2, and the condition ofzero-deflection is aMb + d2=CX*m*. XXVIII. Note on Comparing E. C. Remington*. LET two condensers, of capacities KY and K2, be con-nected to the arms A and D of a Wheatstone-bridge,as shown in woodcut; andlet »n t^t^ \ . ^—^y ,7c. AC = BD, so that there is a balancefor permanent currents. Let %-\-y, x, z, and w bethe cyclic currents at somemoment after the battery-circuit is broken, and whenthe condensers are dis-charging ; and let q1 bethe charge on Kx and g2that on K2 at this we have (A + B + G)(a?+y)-G#-A* =. Of, alsoTherefore (C + D + G>-G(tf+y)-DM7 = 0; dqidt _dq^dt (A + B> + (A + B + G)y=A^, (C + D)*-Gy=D^. * Communicated by the Physical Society: read June 25, 1887. t The self-induction of the galvanometer need not be taken intoaccount, as the current in it commences and ends at zero. The armsA, B, C, and D are supposed to possess no self-induction. Hence Comparing Capacities. ±% A+B 239 y = D di]2 alt C + D or whereIntegrating, A + B + G, A + B-G, C + D A, = A(0+D)|-(A+B)d|). A = G(A + B) + (A + B + G)(C + D). (1) A Vydt = A(0+D) f°rf?1-(A + B)D f°<fy2, Jo JXiAarj, Jk2Dx0 where x0 is the permanent current through A and D whenthe battery is on. But 1 y dt is the quantity which passes through the gal-vanometer, = Ag=^0{K2D2(A + B)-K1A2(C + D)}. If xx is the permanent current in B and 0, C .oc0 — Xi jz ; and since AC = BD, we have ^^GtB + CJ + B^ + Dr ... (2)which may be written K2C — KjBg = ^G(B + C) C BD + D + If now A and D be made infinite, which will obvia
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