BASIC
MEASUREMENT
33
Series
formula
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
+
=
2
1
1
Q
L
L
P
S
Q=quality factor
Parallel formula
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
+
=
2
1
1
Q
L
L
S
P
Q=quality factor
When to use Series (L
S
)
Small capacitance:
Reactance (X) < 1k
Ω
Example: 1
μ
H @ 1kHz =
100
Ω
(X)
→
Series
When to use Parallel (L
P
)
Large capacitance:
Reactance (X) > 1k
Ω
Example: 100mH @ 1kHz
= 100k
Ω
(X)
→
Parallel
Resistance Series
diagram
Parallel diagram
Series
formula
(
)
2
1
Q
R
R
P
S
+
=
Q=quality factor
Parallel formula
(
)
2
1
Q
R
R
S
P
+
=
Q=quality factor
When to use Series (R
S
)
Small resistance: < 1k
Ω
When to use Parallel (R
P
)
Large resistance: > 1k
Ω
LCR-8101
User
Manual
34
Resistance (R) and Conductance (G = 1/R)
Background
Resistance measures how difficult it is for the
electricity to flow between two terminals.
Conductance is the reciprocal of Resistance and
measures how easily the electricity flows.
Resistance Conductance
Type
•
Series Resistance R
S
•
Parallel Resistance R
P
•
DC Resistance R
dc
•
Parallel Conductance
G
P
(= 1/R
P
)
Note: Conductance is
available only for
parallel circuit model.
Range
0.01m
Ω
~ 1G
Ω
0.001nS
~
1GS
Measurement
combination
•
C
S
+ R
S
•
L
S
+ R
S
•
X
S
+ R
S
•
C
P
+ R
P
•
L
P
+ R
P
•
B
P
+ R
P
•
R
dc
•
C
P
+ G
P
•
L
P
+ G
P
•
B
P
+ G
P
Formula
jX
Z
G
V
I
R
S
−
=
=
=
1
C
j
Z
L
j
Z
S
S
ϖ
ϖ
+
=
−
=
(
)
2
2
X
R
Z
S
+
=
(
)
2
2
X
R
RX
Z
P
+
=
θ
cos
Z
R
S
=
jB
Y
R
V
I
G
P
P
−
=
=
=
1
L
j
Y
C
j
Y
P
P
ϖ
ϖ
+
=
−
=
(
)
2
2
B
G
GB
Y
S
+
=
(
)
2
2
B
G
Y
P
+
=
θ
cos
Y
G
P
=