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The loss tangent is defined by the angle between the capacitor's impedance vector and the negative reactive axis. If the capacitor is used in an AC circuit, the dissipation factor due to the non-ideal capacitor is expressed as the ratio of the resistive power loss in the ESR to the reactive power oscillating in the capacitor, or
Since the same AC current flows through both ESR and X c, the loss tangent is also the ratio of the resistive power loss in the ESR to the reactive power oscillating in the capacitor. For this reason, a capacitor's loss tangent is sometimes stated as its dissipation factor, or the reciprocal of its quality factor Q, as follows
The dissipation factor is determined as the tangent of the reactance () and the ESR, and can be shown as the angle δ between imaginary and the impedance axis. If the inductance E S L {\displaystyle ESL} is small, the dissipation factor can be approximated as:
Apply VLF to measure insulation losses (i.e. the insulation dissipation factor or Tan-delta). In this case, the IEEE 400.2 establishes the criteria for assessment. The test is typically performed over a range of test voltages from 0.5 Uo to 2 Uo depending on the standard/guide that is being followed.
The dissipation factor is determined by the tangent of the phase angle between the subtraction of capacitive reactance X C from inductive reactance X L, and the ESR. If the capacitor's inductance ESL is small, the dissipation factor can be approximated as: =
For electrolytic capacitors, for historical reasons the dissipation factor tan δ will sometimes be specified in the data sheet instead of the ESR. The dissipation factor is determined by the tangent of the phase angle between the capacitive reactance X C minus the inductive reactance X L and the ESR.
The ratio of the loss modulus to storage modulus in a viscoelastic material is defined as the , (cf. loss tangent), which provides a measure of damping in the material. tan δ {\displaystyle \tan \delta } can also be visualized as the tangent of the phase angle ( δ {\displaystyle \delta } ) between the storage and loss modulus.
This article is best kept as Loss tangent, with Dissipation factor pared down to a stub. Dissipation factor uses electrical Loss tangent as one example of the more general property of Dissipation factor, and probably should not go into such detail of Loss tangent. Dissipation factor should instead concisely explain additional examples, such as ...