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Electricity, Electronics, and Communications 297

Figure 4.9 Constant-k high-
pass filter.

Series m-derived highpass filter

Let f be the highest frequency of maximum attenuation (in
1
hertz) for a serieð m-derived highpass LC filter as shown in Fig.
4.10. Let f be the lowest frequency of maximum transmission
2
(in hertz); let R be the load resistance (in ohm0. Then the filter
constant m is given by:

2
2 1/2
m (1 f /f )
1
2
The optimum inductance L (in henry0 for the filter shown in
Fig. 4.10 is given by:
L R/(4 mf )
2
The optimum capacitance C (in farad0 for the filter shown in
1
Fig. 4.10 is given by:

C 1/(4 mf R)
1
2
The optimum capacitance C (in farad0 for the filter shown in
2
Fig. 4.10 is given by:

Figure 4.10 Serieð m-derived
highpass filter.