Attenuators 773
(22-24)
where,
R 1 is the terminating resistor in ohms,
N is the number of branch circuits,
Z is the circuit impedance in ohms.
The insertion loss may be calculated:
(22-25)
where,
N is the number of branch circuits.
A series configuration can only be used in an
ungrounded circuit. The insertion loss of a combining
network may be avoided by the use of an active
combining network (see Sections 22.2.15 and 22.2.16).
22.2.3 T Attenuators
A T-type attenuator is an attenuator network consisting
of three resistors connected in the form of a T, Fig. 22-1.
The network may be designed to supply an impedance
match between circuits of equal or unequal impedance.
When designed for use between circuits of unequal
impedance, it is often referred to as a taper pad.
If a T pad is to work between equal impedances, the
resistor values will be
(22-26)
(22-27)
where,
Z is the input and output impedance in ohms,
R 1 and R 2 are the series resistors in ohms,
R 3 is the shunt arm in ohms,
The values of d and f are taken from Table 22-1.
A T type attenuator may be designed for any value of
loss if designed to operate between equal impedances.
The resistors for a T pad of unequal impedances are
calculated with the following equations:
(22-28)
(22-29)
(22-30)
where,
Z 1 is the larger of the two impedances.
The values of f and h are taken from Table 22-1.
Thus, for a network to match 600: to a circuit of
250 : with a loss of 20 dB, the resistor values are
A balanced T pad is called an H pad. The pad is first
calculated as an unbalanced T configuration. The series
resistance elements are then divided and one-half
connected in each side of the line, Fig. 22-2. The shunt
resistor remains the same value as for the unbalanced
configuration. A tap is placed at the exact electrical
center of the shunt resistor for connection to ground.
The average noise level for a T pad is 100 dB and
constant. Therefore, the signal-to-noise level varies with
the amount of attenuation.
22.2.4 Bridged T Attenuators
A bridged T pad is an attenuator network containing
four resistive elements, Fig. 22-11. The resistors are
equal in value to the line impedance; therefore, they
Figure 22-10. A combining or dividing network for
matching a single circuit to three circuits.
R 1
R 1
R 1
R 1
Z 1
Z 1
Z 1
Z 1
RB
RB
RB RB
Z 1
Z 1
Z 1
SourceZ 1
Load
Load
Load
A. Combining or dividing network for matching
a single circuit to three others.
B. Series combining network for combining
one circuit to three others.
R 1 N 1–
N 1+
= -------------Z
dBloss= 20 log N 1–
R 1 =R 2
=Zd
R 3 = 2 Zf
R 1 =Z 1 h– 2 Z 1 Z 2 f
R 2 =Z 2 h– 2 Z 1 Z 2 f
R 3 = 2 Z 1 Z 2 f
R 1 =600 1.0202 – 2 150 000 0.10101
=533.88 :
R 2 =250 1.0202 – 2 150 000 0.10101
=176.81 :
R 3 =2 150 000 0.10101
78.7 :.=