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Number 2922
Application Note Measuring Inductance Using
Series the 4200-CVU Capacitance-Voltage Unit
Introduction
Although the 4200-CVU capacitance option for Keithley's Model
4200 Semiconductor Characterization System does not measure
inductance directly, users can easily extract the inductance
from the parameters it does measure: impedance (Z), phase
angle (theta or ), and the test frequency (f). This application
note describes how users of the Model 4200-SCS can determine
inductance using the 4200-CVU option. Figure 1
Equipment Requirements
This application requires the use of a Model 4200-SCS system
with the 4200-CVU option installed. Although the procedure
given here does not depend on the use of a specific KTEI version,
4200-CVU is only supported by KTEI version 7.0 and later. Equation for reactance
Equation for inductance
Implementation procedure
Figure 2
The formulas for deriving the inductance are as follows:
X = Z sin 4. Type in the formula for inductance from X and F. "Pi" ()
where: can be found in the constants area of the Formulator.
X = Reactance
Z = Impedance Example results
= Phase angle between capacitance and conductance C,G (rads) Once the project is saved and executed, the inductance (L) will
X appear in the Sheet tab as shown in Figure 3. It can also be
L = _____ plotted on a graph.
2f
where:
L = Inductance
X = Reactance
= Archimedes' constant (3.141592...)
f = Test frequency
To incorporate these formulas into a KITE project:
1. Create an Interactive Test Module (ITM) and choose the
4200-CVU (CVH1 and CVL1) for the measurements at the
device terminals in the ITM. Figure 3
2. In the Force Function/Measure Options window, set the
Measured Options Parameters to "Z,Theta" as shown in Other considerations and
Figure 1. possible sources of error
3. Open the Formulator and type in the formula for the This method is useful for measuring inductances ranging from
reactance using the Data Series parameters Z, Theta, microhenries to millihenries. The actual range that can be
and F. The units for "Theta" are in degrees. To use the measured and the quality of the results achieved will depend
trigonomic functions in the Formulator, you must convert on the characteristics of the specific device under test--its own
the units to rads using the "RAD" function as shown in impedance, etc.--and the instrument settings, such as the test
Figure 2 for a device with terminals A and B: frequency.
According to the inductance equation, use lower frequencies References
to measure higher inductances and vice versa.
1. 4200 system overview:
Standard best practices for high quality electrical http://www.keithley.com/data?asset=50733
measurements should be used, including the use of four-wire 2. 4200 start-up sequence:
connections as close to device as possible, etc. http://www.keithley.com/data?asset=50696
Specifications are subject to change without notice.
All Keithley trademarks and trade names are the property of Keithley Instruments, Inc.
All other trademarks and trade names are the property of their respective companies.
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