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In physics, the dissipation factor (DF) is a measure of loss-rate of power of a mechanical mode, such as an oscillation, in a dissipative system.

For example, electric power is lost in all dielectric materials, usually in the form of heat. DF is expressed as the ratio of the resistive power loss to the capacitive power, and is equal to the tangent of the loss angle.

The dissipation factor in the case of capacitors is also referred to as the loss tangent and approximates to the power factor:

$tan\; delta\; =\; frac\; \{\; varepsilon\_\{Im\}\; \}\; \{\; varepsilon\_\{Re\}\; \}\; =\; frac\; \{\; sigma\; \}\; \{\; omega\; varepsilon\; \}$

where $varepsilon$ is the permittivity ($varepsilon\; =\; varepsilon\_r\; varepsilon\_0$)

$sigma$ is the conductivity

$omega$ is the angular frequency (i.e. $omega\; =\; 2\; pi\; f$)

$varepsilon\_\{Re\}$ and $varepsilon\_\{Im\}$ refer to the real and imaginary parts of the permittivity.

This is equivalent to expressing $DF$ as the ratio of a capacitor's equivalent series resistance ($R$) to its capacitive reactance ($X\_\{c\}$). DF is usually expressed as a percentage.

$DF\; =\; frac\; \{R\}\; \{X\_\{c\}\}\; times\; 100\%\; =\; frac\; \{R\}\; \{\; (frac\; \{1\}\; \{omega\; C\}\; )\; \}\; times\; 100\%\; =\; omega\; RC\; times\; 100\%$

DF will vary depending on the dielectric material. In low dielectric constant (low-k), temperature compensating, ceramics DF of 0.1 to 0.2% is typical. In high dielectic constant ceramics, DF can be 1 to 2%. However, lower DF is usually an indication of quality capacitors when comparing similar dielectric material.

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Last updated on Friday August 08, 2008 at 22:41:21 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Friday August 08, 2008 at 22:41:21 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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