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LDC1051NHRJ Datasheet(PDF) 9 Page - Texas Instruments |
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LDC1051NHRJ Datasheet(HTML) 9 Page - Texas Instruments |
9 / 31 page 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 Submit Documentation Feedback 9 Product Folder Links: LDC1051 |
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