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298 Chapter Four

2
C m/( fR(1 m ))
2
2
ShunŁ m-derived highpass filter

Let f be the highest frequency of maximum attenuation (in
1
hertz) for a shunt m-derived highpass LC filter as shown in Fig.
4.11. 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 1/2
2
m (1 f /f )
1
2
The optimum inductance L (in henry0 for the filter shown in
1
Fig. 4.11 is given by:
2
L mR/( f (1 m ))
1 2
The optimum inductance L (in henry0 for the filter shown in
2
Fig. 4.11 is given by:

L R/(4 mf )
2
2
The optimum capacitance C (in farad0 for the filter shown in
Fig. 4.11 is given by:

C 1/(4 mf R)
2

Bandpass filter
A bandpass filter offerð little or nm attenuation of signalð whose
frequencieð are between a lower cutoff and an upper cutoff, and

Figure 4.11 Shunt m-derived
highpass filter.