. The Bell System technical journal . that the magnetizing field has the constant fundamentalfrequency w/lir, but it need not be sinusoidal. Each-term of thisseries can be treated as was the single term in the expression of Bfor the small fields. When this is done for the integrator and amplifierand the terms are again summed, the output voltage is given by KL IT U^^s E (-1)-^ cos m (Jit m 1 -sp 1 \ sin m (xit 5 + 1 sin m cot Z m NSRC Br, \lM. 1 z 1 rCu) 0 RsCsOi (12) where = 1 from cct = 1 from w/ = — to 3 - ; (Fig. 6) TT TV j3 = cot from o^t = — — to + — ; TV TV ^ = {it — wt) from co/ = — to
. The Bell System technical journal . that the magnetizing field has the constant fundamentalfrequency w/lir, but it need not be sinusoidal. Each-term of thisseries can be treated as was the single term in the expression of Bfor the small fields. When this is done for the integrator and amplifierand the terms are again summed, the output voltage is given by KL IT U^^s E (-1)-^ cos m (Jit m 1 -sp 1 \ sin m (xit 5 + 1 sin m cot Z m NSRC Br, \lM. 1 z 1 rCu) 0 RsCsOi (12) where = 1 from cct = 1 from w/ = — to 3 - ; (Fig. 6) TT TV j3 = cot from o^t = — — to + — ; TV TV ^ = {it — wt) from co/ = — to 3 — ; (Fig. 7) 4 -^ , ^ X , sin m wtTT 1 m m = 2n — \. (Fig. 8) rr 2 -1 n 3n 3n 2I Ujt Fig. 6—The value of a during one cycle. 300 BELL SYSTEM TECHNICAL JOURNAL The value of 7 is finite for all values of co/ except 7r/2 and S{t/2)where it becomes infinite. Near these values, therefore, the equationfails for the reason that the higher powers of w were neglected in theexpression for the condenser conductance (Eq. 4).. trOjt Fig. 7—The value of /3 during one cycle. Let the heavy line aboba, Fig. 9, be the trace of the ideal curve X = cos Oj/, 3 = -E(-i) T 1 cos m coi m (13) The curve followed by the value of Cs in equation (12) is then of theform shown by the light line acaca, which again is traced in the
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