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Related Concept Videos

Th&#233venin Equivalent Circuits01:18

Thévenin Equivalent Circuits

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The household power distribution system, encompassing distribution lines and transformers, serves as the primary network. Electrical appliances within a household can be represented as load impedance. To simplify this intricate distribution system, Thévenin's theorem can be applied to create a Thévenin equivalent circuit. If an AC circuit is partitioned into two parts (circuit A and circuit B), connected by a single pair of terminals as shown in Figure 1.
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Norton Equivalent Circuits01:16

Norton Equivalent Circuits

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Norton's theorem is a fundamental concept in the field of electrical engineering that allows for the simplification of complex AC circuits. The theorem states that any two-terminal linear network can be replaced with an equivalent circuit that consists of an impedance, which is parallel with a constant current source. Figure 1 shows the AC circuit portioned into two parts: Circuit A and Circuit B, while Figure 2 depicts the circuit obtained by replacing Circuit A by its Norton equivalent...
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Equivalent Circuits for Practical Transformers01:28

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The practical equivalent circuits of single-phase two-winding transformers exhibit significant deviations from their idealized versions due to the inherent properties of winding resistance and finite core permeability. These properties result in real and reactive power losses, affecting the transformer's performance. Understanding these deviations is crucial for designing more efficient transformers.
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Nonlinear Pharmacokinetics: Causes of Nonlinearity01:22

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Nonlinearity in drug pharmacokinetics is caused by various factors influencing how a drug is absorbed, distributed, metabolized, and excreted. Understanding these nonlinear processes is crucial for predicting drug behavior in the body and optimizing drug dosing regimens.
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Pharmaceutical Equivalents01:26

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As defined by regulatory standards, pharmaceutical equivalents require generic drug products to have identical dosage forms and chemically identical active pharmaceutical ingredients (APIs). They must adhere to compendial or applicable standards for potency, content uniformity, disintegration times, and dissolution rates. In the case of modified-release dosage forms, variations in drug content are permissible as long as the delivered amount remains consistent with the innovator drug product.
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Related Experiment Video

Updated: Jan 25, 2026

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
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A Nonlinear Lumped Equivalent Circuit Model for a Single Uncollapsed Square CMUT Cell.

Mohammad Maadi, Roger J Zemp

    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
    |May 7, 2019
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    Summary

    A new nonlinear equivalent circuit model accurately predicts the behavior of square membrane capacitive micromachined ultrasonic transducers (CMUTs). This model aids in designing CMUT arrays for medical imaging and therapy.

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    Area of Science:

    • Electrical Engineering
    • Materials Science
    • Biomedical Engineering

    Background:

    • Capacitive micromachined ultrasonic transducers (CMUTs) are crucial for ultrasound applications.
    • Existing models often lack accuracy for large-scale or non-circular CMUT designs.
    • Accurate modeling is essential for optimizing CMUT performance in arrays.

    Purpose of the Study:

    • To develop a precise nonlinear large-signal equivalent circuit model for square membrane CMUTs.
    • To validate the model's predictions against finite-element modeling and experimental data.
    • To provide a framework for designing and modeling large-scale CMUT arrays.

    Main Methods:

    • Developed a nonlinear lumped equivalent circuit model using analytical calculations.
    • Employed finite-element analysis (FEA) for model tuning and validation.
    • Fabricated square and circular membrane CMUTs using a sacrificial release process.

    Main Results:

    • The developed model demonstrated excellent agreement with FEA results for square CMUT dynamics.
    • Experimental measurements of resonance frequencies and displacements closely matched model predictions.
    • The model accurately captures the behavior of both square and circular CMUT cells.

    Conclusions:

    • The new equivalent circuit model offers high accuracy for square membrane CMUTs.
    • This modeling approach is valuable for the design and simulation of CMUT arrays.
    • The framework supports advancements in ultrasound imaging and therapy applications using CMUT technology.