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LDC1051NHRJ Datasheet(PDF) 9 Page - Texas Instruments

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Part # LDC1051NHRJ
Description  8-bit Rp only Inductance-to-Digital Converter with SPI
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Manufacturer  TI1 [Texas Instruments]
Direct Link  http://www.ti.com
Logo TI1 - Texas Instruments

LDC1051NHRJ Datasheet(HTML) 9 Page - Texas Instruments

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background image
C
Oscillator
L(d)
Rs(d)
Target Metal
Surface
Conductance
of Metal
Ls + L(d)
Rs + R(d)
Distance d
Eddy
Currents
Metal
Target
d
LDC1051
www.ti.com
SNOSCY0 – MARCH 2014
Feature Description (continued)
Figure 5. Inductor With A Metal Target
Eddy currents generated on the surface of the target can be modeled as a transformer as shown in Figure 6. The
coupling between the primary and secondary coils is a function of the distance and the conductor’s
characteristics. In Figure 6, the inductance Ls is the coil’s inductance, and Rs is the coil’s parasitic series
resistance. The inductance L(d), which is a function of distance d, is the coupled inductance of the metal target.
Likewise, R(d) is the parasitic resistance of the eddy currents and is also a function of distance.
Figure 6. Metal Target Modeled As L And R With Circulating Eddy Currents
Generating an alternating magnetic field with just an inductor will consume a large amount of power. This power
consumption can be reduced by adding a parallel capacitor, turning it into a resonator as shown in Figure 7. In
this manner the power consumption is reduced to the eddy and inductor losses Rs+R(d) only.
Figure 7. LC Tank Connected To Oscillator
The LDC1051 doesn’t measure the series resistance directly; instead it measures the equivalent parallel
resonance impedance Rp (see Figure 8). This representation is equivalent to the one shown in Figure 8, where
the parallel resonance impedance Rp(d) is given by:
Copyright © 2014, Texas Instruments Incorporated
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