Datasheet

Data Sheet AD5933
Rev. E | Page 21 of 40
Once the magnitude of the impedance (|Z|) and the impedance
phase angle (ZØ, in radians) are correctly calculated, it is possible
to determine the magnitude of the real (resistive) and imaginary
(reactive) component of the impedance (Z
UNKNOWN
) by the
vector projection of the impedance magnitude onto the real
and imaginary impedance axis using the following formulas:
The real component is given by
|Z
REAL
| = |Z| × cos (ZØ)
The imaginary component is given by
|Z
IMAG
| = |Z| × sin (ZØ)
Table 7. Phase Angle
Real Imaginary Quadrant Phase Angle
Positive Positive First
π
×
−
°180
)/(tan
1
RI
Negative Positive Second
(
)






×
+
−
π
°
180
/tan
°
180
1
RI
Negative Negative Third
( )






×
+
−
π
°180
/tan°180
1
RI
Positive Negative Fourth
( )






π
×+
−
°180
/tan°360
1
RI