New method for determining time constant of resistors.

Area of Science:

• Electrical Engineering
• Metrology
• Materials Science

Background:

• Accurate characterization of AC resistors is crucial for electronic circuit design and performance.
• Existing methods for determining AC resistor time constants can be limited in precision, especially for high-value resistors.

Purpose of the Study:

• To introduce a novel, high-precision method for determining the time constant of AC resistors around 10 kΩ.
• To leverage a digital impedance bridge and a probing capacitor to achieve accurate measurements.

Main Methods:

• A digital impedance bridge compares two nominally equal AC resistors.
• A probing capacitor is added in parallel to one resistor, inducing a quadratic frequency dependence.
• The self-capacitance of the unperturbed resistor is determined from the magnitude of this quadratic effect.

Main Results:

• The method enables the determination of self-capacitance with an estimated standard uncertainty of 0.02 pF.
• The associated time constant is determined with an estimated standard uncertainty of 0.2 ns.
• The technique is effective for AC resistors with values around 10 kΩ.

Conclusions:

• The developed method offers a precise and reliable way to measure AC resistor time constants.
• This advancement contributes to improved accuracy in electrical metrology and component characterization.
• The technique provides a valuable tool for researchers and engineers working with precision electronic components.