EVAL-AD5933EB Datasheet, PDF (21/40 Pages) Analog Devices – 1 MSPS, 12-Bit Impedance Converter, Network Analyzer

Data Sheet
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 (ZUNKNOWN) 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
|ZREAL| = |Z| × cos (ZØ)
The imaginary component is given by
|ZIMAG| = |Z| × sin (ZØ)
AD5933
Table 7. Phase Angle
Real
Imaginary Quadrant
Positive Positive First
Negative Positive Second
Negative Negative Third
Positive Negative Fourth
Phase Angle
tan^−1(I / R) × ^180°
π
180°
+


tan^−1
(I
/
R
)
×
180°
π


180°
+


tan^−1
(I
/
R
)
×
180°
π


360°
+


tan
−1
(I
/
R
)
×
180°
π


Rev. E | Page 21 of 40