GW Instek LCR-8000G Series - Manual (Page 23)

BASIC MEASUREMENT
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Quality factor (Q) and Dissipation factor (D)
Background Both Quality factor and its reciprocal, Dissipation
factor, are used for measuring the rate of energy
dissipation relative to the measurement frequency.
• Low energy dissipation: high Q, low D
• High energy dissipation: low Q, high D
Type Quality factor (Q) Dissipation factor (D)
Display Range 0.01 ~ 9999.9 0.00001 ~ 1000
Formula
S S S
S
R C R
L
Q
ϖ
ϖ 1
= =
P P
P
P R C
L
R
ϖ
ϖ
= =
( ) D
1
90 tan
1
=
−
=
° θ
S S
S
S R C
L
R
D ϖ
ϖ
= =
P P
P
P G L
C
G
ϖ
ϖ
= =
( )
Q
1
90 tan = − = ° θ
LCR-8000G Series User Manual
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Angle (θ)
Background The Angle (θ) measures the phase on which
Impedance (Z), Admittance (Y), Quality factor (Q),
and Dissipation factor (D) are measured.
Type Angle (θ)
Display Range –180° ~ +180°
Formula jX R Z
S
+ =
C
j
R L j R
ϖ
ϖ − = + =
( ) D
Q
1
90 tan
1
=
−
=
° θ
θ cos Z R
S
=
θ sin Z X
S
=
jB G Y
P
+ =
L
j
G C j G
ϖ
ϖ − = + =
( )
Q
D
1
90 tan = − = ° θ
θ cos Y G
P
=
θ sin Y B
P
=