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Design Example: Capacitance Multiplier Circuit01:20

Design Example: Capacitance Multiplier Circuit

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In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.
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Frequency Response of a Circuit01:20

Frequency Response of a Circuit

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Inductive circuits present intriguing challenges in electrical engineering, particularly during the transition from the time domain to the frequency domain. This transformation involves converting inductors into impedances and utilizing phasor representation.
The transfer function is pivotal in characterizing how these circuits react to various frequencies, facilitating a profound understanding of their behavior. An essential parameter is the time constant, signifying the...
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Frequency Response of Op Amp Circuits01:20

Frequency Response of Op Amp Circuits

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Operational amplifiers (op-amp) are used in signal conditioning, filtering, or for performing mathematical operations such as addition, subtraction, integration, and differentiation. The frequency response of an op-amp is an important aspect that describes how the gain of the amplifier varies with frequency.
Frequency Response and Gain:
The gain of the op-amp, A(ω), is not a constant but a function of the input signal frequency. An op-amp can maintain a constant gain at low frequencies, known...
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Equivalent Capacitance01:19

Equivalent Capacitance

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From the study of resistive circuits, it is understood that employing a series-parallel combination serves as an effective strategy for simplifying circuits. Capacitors can be arranged within a circuit in one of two ways: a series configuration or a parallel configuration. The way these capacitors are connected to a battery will influence both the potential drop across each individual capacitor and the size of the charge that each capacitor can store. This is determined by the specific type of...
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Equivalent Capacitance01:19

Equivalent Capacitance

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Multiple capacitors can be connected in a circuit in series or parallel configuration. When the capacitor combination is connected to a battery, the potential drop across each capacitor and the magnitude of charge stored in the individual capacitor depends on the type of the connection. The capacitor combination is replaced by a single equivalent capacitor that stores the same amount of charge as the combination for a given potential difference.
The following strategies are adopted to calculate...
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Capacitors and Capacitance01:18

Capacitors and Capacitance

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A device consisting of two electrical conductors that are separated by a distance and used to store electrical charges is called a capacitor. The space between the conductors is either a vacuum or an insulating material, called a dielectric. Capacitors have many applications, ranging from filtering static from radio reception to energy storage in heart defibrillators.
When the conductors are two identical parallel plates, it is called a parallel plate capacitor. When battery terminals are...
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Related Experiment Video

Updated: Feb 2, 2026

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

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On Frequency-Based Interface Circuits for Capacitive MEMS Accelerometers.

Zhiliang Qiao1, Boris A Boom2, Anne-Johan Annema3

  • 1IC Design Group, Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands. z.qiao@utwente.nl.

Micromachines
|November 15, 2018
PubMed
Summary
This summary is machine-generated.

Frequency-based readout circuits offer an alternative to charge-based methods for capacitive MEMS accelerometers. Phase noise fundamentally limits resolution, with charge-based circuits excelling in noise performance and frequency-based circuits showing potential for lower power consumption.

Keywords:
MEMSaccelerometerbandwidthcapacitivefrequencyinterfacenoiseoscillatorpowerreadout

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Area of Science:

  • Electrical Engineering
  • Sensor Technology
  • Microelectromechanical Systems (MEMS)

Background:

  • Conventional capacitive MEMS accelerometers utilize charge-based interface circuits.
  • Frequency-based readout techniques present a promising alternative with unique advantages and challenges.

Purpose of the Study:

  • To derive fundamental resolution limits for frequency-based readout techniques imposed by phase noise.
  • To compare the trade-offs between noise, power dissipation, and bandwidth for frequency-based and charge-based switched-capacitor (SC) readouts.

Main Methods:

  • Overview of basic operating principles, properties, and challenges of frequency-based readout techniques.
  • Derivation of closed-form analytical formulas for comparing noise, power, and bandwidth.
  • Benchmarking of LC-oscillator-based frequency readout against conventional SC readout.

Main Results:

  • Phase noise is identified as a fundamental limit to the resolution of frequency-based readout techniques.
  • Charge-based readout circuits are more suitable for optimizing noise performance at a given bandwidth.
  • Frequency-based techniques show potential for power consumption optimization, particularly when flicker phase noise is mitigated.

Conclusions:

  • A fair comparison framework using derived analytical formulas is established.
  • The choice between charge-based and frequency-based readouts depends on specific optimization goals (noise vs. power).
  • Further research into mitigating flicker phase noise can enhance the viability of frequency-based techniques for MEMS accelerometers.