10
where:
VTR = Is the AC metallic voltage between tip and ring,
including the voltage drop across the fuse resistors RF .
VTX = Is the AC metallic voltage. Either at the ground
referenced 4-wire side or the SLIC tip and ring terminals.
IM = Is the AC metallic current.
RF = Is a fuse resistor.
ZT = Is used to set the SLIC’s 2-wire impedance.
VRX = Is the analog ground referenced receive signal.
ZRX = Is used to set the 4-wire to 2-wire gain.
EG = Is the AC open circuit voltage.
ZL = Is the line impedance.
(AC) 2-Wire Impedance
The AC 2-wire impedance (ZTR) is the impedance looking
into the SLIC, including the fuse resistors, and is calculated
as follows:
Let VRX = 0. Then from Equation 10
ZTR is defined as:
Substituting in Equation 9 for VTR
Substituting in Equation 12 for VTX
Therefore
Equation 16 can now be used to match the SLIC’s
impedance to any known line impedance (ZTR).
Example:
Calculate ZT to make ZTR = 600 in series with 2.16F.
RF = 20:
ZT = 560k in series with 2.16nF.
(AC) 2-Wire to 4-Wire Gain
The 2-wire to 4-wire gain is equal to VTX/ VTR.
From Equations 9 and 10 with VRX = 0:
(AC) 4-Wire to 2-Wire Gain
The 4-wire to 2-wire gain is equal to VTR/VRX.
From Equations 9, 10 and 11 with EG = 0:
For applications where the 2-wire impedance (ZTR,
Equation 15) is chosen to equal the line impedance (ZL), the
expression for A4-2 simplifies to:
(AC) 4-Wire to 4-Wire Gain
The 4-wire to 4-wire gain is equal to VTX/VRX.
From Equations 9, 10 and 11 with EG = 0:
V
TX
Z
T
I
M
1000
-------------
=
(EQ. 12)
TR
V
TR
I
M
-----------
=
(EQ. 13
Z
TR
V
TX
I
M
-----------
2R
F
I
M
I
M
-----------------------
+
=
(EQ. 14)
Z
TR
Z
T
1000
------------- 2R
F
+
=
(EQ. 15)
Z
T
1000
Z
TR
2R
F
–
()
=
(EQ. 16)
Z
T
1000
600
1
j
ω 2.16
10
6
–
----------------------------------------- 220
–
+
=
A
24
–
V
TX
V
TR
-----------
Z
T 1000
Z
T 1000
2R
F
+
------------------------------------------
==
(EQ. 17
A
42
–
V
TR
V
RX
-----------
Z
T
Z
RX
-----------
–
Z
L
Z
T
1000
------------- 2R
F
Z
L
++
--------------------------------------------
==
(EQ. 18)
A
42
–
Z
T
Z
RX
-----------
–
1
2
---
=
(EQ. 19)
A
44
–
V
TX
V
RX
-----------
Z
T
Z
RX
-----------
–
Z
L
2R
F
+
Z
T
1000
------------- 2R
F
Z
L
++
--------------------------------------------
==
(EQ. 20)
HC5513