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The C's and D's of dielectric measurements

Martin Rowe, Senior Technical Editor -- Test & Measurement World, 5/1/2003

Analysis of diectric material properties using LCR meters

The dielectric properties of materials ranging from electrical insulation to copier toner can indicate a manufacturing process that needs adjustment. While accurate dielectric-constant and dissipation-factor measurements require adherence to standards, you can assess your manufacturing process with some simple measurements that are accurate to approximately ±10%.

Figure 1. Measure a material's capacitance and resistance (left) compared to that of air (right) to calculate dielectric constanct (k') and dissipation factor (Dx). Make all measurements at the same distance between electrodes.

You can calculate a material's dielectric constant—its insulating ability—by measuring its capacitance relative to that of a vacuum (1.00). The closer a dielectric constant is to 1, the more the material insulates. Unfortunately, measurements in a vacuum are expensive and cumbersome to make; instead of going to that trouble, you can often substitute the dielectric constant of air (1.0053). To calculate a material's dielectric constant (k'), measure its capacitance (Cx ), then measure the capacitance of air (Cair ), and take the ratio:

 


Figure 1a
shows a specimen between electrodes of an LCR meter or other capacitance-measuring instrument. Figure 1b shows the same setup for measuring air. To make the capacitance measurements, use the same distance, h, between the electrodes for both measurements. To get a repeatable distance between the probes with and without the specimen, you need to build or buy a test fixture that lets you move the electrodes while measuring the distance between them with a micrometer.

In addition to measuring dielectric constant, you can measure dissipation factor (Dx), a material's ability to store energy at a specific frequency. Dx is the ratio of an insulating material's resistance to its capacitive reactance at a specific frequency. You can use the dielectric-constant-measurements to calculate dissipation factor:

Dx = Dxm - Dair

To calculate Dx, measure the dissipation factor of the specimen at electrode distance hm. D xm is the measured dissipation factor with the specimen in the fixture, and D airis the measured dissipation factor of air over distance hm.

To learn more about how to measure dielectric constants, download a paper by Jim Richards of QuadTech.

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