Omicron Bode 100 - Equivalent Circuits

35
Impedance/Reflection Mode
Note: The reference resistance can be set in the Measurement area of the
Impedance/Reflection mode window.
4.1.2 Equivalent Circuits
The basic formulas for the serial equivalent circuit are:
(Eq. 4-6)
(Eq. 4-7)
If :
(Eq. 4-8)
If :
(Eq. 4-9)
where
…series resistance
…series reactance
…series capacitance
…series inductance
The basic formulas for the parallel equivalent circuit are:
(Eq. 4-10)
(Eq. 4-11)
If :
(Eq. 4-12)
If :
(Eq. 4-13)
where
…parallel resistance
…parallel reactance
…parallel inductance
…parallel capacitance
R
0
Z Real Z() jImag Z()+ R
s
jX
s
+==
R
s
Real Z()=
Imag Z() 0<
C
s
1
ω Imag Z()
----------------------------
=
Imag Z() 0>
L
s
Imag Z()
ω
-----------------------
=
R
s
X
s
C
s
L
s
Y Real Y() jImag Y()+
1
R
p
------
j
1–
X
p
------
⎝⎠
⎛⎞
+==
R
p
1
Real Y()
-------------------
=
Imag Y() 0<
L
p
1
ω Imag Y()
----------------------------
=
Imag Y() 0>
C
p
Imag Y()
ω
-----------------------
=
R
p
X
p
L
p
C
p