. Electronic apparatus for biological research. Electronic apparatus and appliances; Biology -- Research. OTHER L-C FILTERS m-derived filter we take a classical filter of cut-oif frequency Mq and define m so that and m 1 CO. \(0, a/2 (low-pass filters) (high-pass filters) Thus, m varies in the range 0 to 1 and is small when a>„ and mc are close together. Then a low-pass T section transforms to m-denved by rebuilding it either as in Figure or as in Figure In the first of these null-transmission L 2 2 -'T<nnrv"innJT»--o \C. ]-ml ]-mK I'll!r> I i-iii fs, 'm( (a) (b) Fig
. Electronic apparatus for biological research. Electronic apparatus and appliances; Biology -- Research. OTHER L-C FILTERS m-derived filter we take a classical filter of cut-oif frequency Mq and define m so that and m 1 CO. \(0, a/2 (low-pass filters) (high-pass filters) Thus, m varies in the range 0 to 1 and is small when a>„ and mc are close together. Then a low-pass T section transforms to m-denved by rebuilding it either as in Figure or as in Figure In the first of these null-transmission L 2 2 -'T<nnrv"innJT»--o \C. ]-ml ]-mK I'll!r> I i-iii fs, 'm( (a) (b) Figure (C) is obtained by series resonance in the shunt arm, and in the second, by a parallel resonance in each series arm. Similarly a high-pass T section, in the m-derived form, is either as in Figure , or as in Figure Once again, null-transmission occurs as a result of resonance in the appropriate arm. 2C II 2C II 0 o— II II => Z> z> 1 —O 2C m 2C m 2mL 41-^rHf o—^ ImL \-rrP- 1£. m . S m hi m 5 (a) (b) Figure (C) In deciding which of the two alternative m-derived versions of each filter type to use in a particular case, bear in mind that in general, capacitors are more readily available than inductors, and cheaper; work out the values required for each alternative, and see which is the more convenient. If m can be arranged to be in the neighbourhood of 0-6, it can be shown that the impedance looking in at either end of the filter remains near to R throughout the pass-band and to a frequency very close to Mq {Figure ). The m-derived pi sections may be found by considering a long chain of 91. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Donaldson, Peter Eden Kirwan. New York, Academic Press
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