Formulas are derived for the solution of the transient currents of dissipative low-pass T-type electric wave filters. Oscillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with results calculated from these formulas. From these calculations, the following conclusions are derived. When terminating resistance is gradually increased from O, the damping constants of the sine terms begin to differ from each other, ranging in decreasing magnitude from term of the lowest frequency...

Formulas are derived for the solution of the transient currents of dissipative low-pass T-type electric wave filters. Oscillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with results calculated from these formulas. From these calculations, the following conclusions are derived. When terminating resistance is gradually increased from O, the damping constants of the sine terms begin to differ from each other, ranging in decreasing magnitude from term of the lowest frequency to the last term of cut-off frequency. Hence the transient is ultimately of the cut-off frequency. At cut-off frequency, this constant is near to but greater than R/2L. For each increase of section, there is introduced an additional sine term with smaller damping constant. Therefore transients die out faster in filters of smaller number of sections. Since transient amplitudes are of the same order of magnitude before and after cut-off, filtering property only exists in the steady states.

Formulas are derived for the solution of the transient currents of resistance-terminated dissipative π-type low-pass, T- and π-type high-pass electric wave filters. Oseillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with the results calculated from these formulas. From these calculations, the following conclusions are derived: (1) When the terminating resistance is gradually increased from 0, the damping constants of the damped sine terms begin to differ greatly from each...

Formulas are derived for the solution of the transient currents of resistance-terminated dissipative π-type low-pass, T- and π-type high-pass electric wave filters. Oseillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with the results calculated from these formulas. From these calculations, the following conclusions are derived: (1) When the terminating resistance is gradually increased from 0, the damping constants of the damped sine terms begin to differ greatly from each other, ranging in decreasing magnitudes from the first damped sine term to the last term of cut-off frequency. Hence the transient is ultimately of the cut-off frequency. At the cut-off frequency, this constant is greater than the corresponding constant (R/2L) when the termination is absent. (2) For each increase of one section, there is introduced an additional damped sine term with smaller damping constants. Therefore transients die out faster in filters of small no. of sections. (3) With the same network constants, the damping constants of π-type filters are greater than the corresponding values of T-type filters. As a result, transients die out faster in π-type filters. (4) The amplitudes of the transient terms in the attenuation and transmission ranges are of the same order of magnitude, and the filtering property only exists in the steady states. (5) The cut-off frequency of the π-type filters varies with the no. of sections used. When only two sections of low, or, high-pass filter are used, the variation amounts to nearly 26 per cent from the theoretical value.

Formulas are derived for the solution of the transient currents of resistance-terminated dissipative T-& π-type band-pass electric wave filters of the constant X type. Oscillagrams taken hy cathode ray oscillograph for d-c. & a-c. cases are found to agree with the calculated results. From these calculations, the following conclusions are derived: (1) No matter what the impressed frequencies are, the transient is ultimately of the lower cut-off frequency. (2) The receiving-end indicial admittance consists...

Formulas are derived for the solution of the transient currents of resistance-terminated dissipative T-& π-type band-pass electric wave filters of the constant X type. Oscillagrams taken hy cathode ray oscillograph for d-c. & a-c. cases are found to agree with the calculated results. From these calculations, the following conclusions are derived: (1) No matter what the impressed frequencies are, the transient is ultimately of the lower cut-off frequency. (2) The receiving-end indicial admittance consists of transient terms symmetrical with respect to the mid-frequency term. (3) The transients die out faster in the filters of smaller number of sections. (4) With the same network constants, the transients die out faster in the t-type filters. (5) Filtering property only exists in the steady state. (6) The band width increases with the number of sections. This increase is greater in π-type filters, but the band width is greater in T-type filters.