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Related Concept Videos

Power and Energy01:12

Power and Energy

2.0K
The power and energy delivered to an element are subjects of great significance in the field of electrical engineering. It is a well-known fact that a 100-watt light bulb emits more light than a 60-watt one. Therefore, power and energy calculations play a crucial role in the analysis of electrical circuits.
Power, defined as the time rate of expending or absorbing energy, is quantified in units called watts (W). The relation between power and energy is mathematically given as
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Integrals of Powers of Sine and Cosine01:29

Integrals of Powers of Sine and Cosine

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Trigonometric integrals involve the integration of expressions containing powers of sine, cosine, and related functions. They are common in calculus problems and have applications in physics and engineering. The method for integrating expressions of the form sinm(x)cosn(x) depends on whether the exponents are odd or even.If the power of sine is odd, one sine factor is separated from the integrand, leaving an even power of sine. The remaining sine terms are rewritten in terms of cosine using the...
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Energy and Power Signals01:17

Energy and Power Signals

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In an electrical system with a resistor, voltage and current signals facilitate the measurement of power and energy across the resistor. For a continuous-time signal, the total energy over a time interval is defined as the integral of the square of the signal's magnitude over that interval. Mathematically, this is expressed as:
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Energy and Power of a Wave00:58

Energy and Power of a Wave

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The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy. The average rate of energy transfer associated with a wave is called its power, which is total energy divided by the time it takes to transfer the energy. For a sinusoidal wave, energy and power are proportional to the square of both the amplitude and the angular frequency.
Waves can also be concentrated or spread out, as characterized by the intensity of the wave. Intensity is directly...
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Control of Power Flow01:30

Control of Power Flow

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There are several methods to control power flow in power systems:
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Integrals of Powers of Secant and Tangent01:18

Integrals of Powers of Secant and Tangent

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Integrals involving powers of tangent and secant are commonly evaluated using substitution, with the strategy determined by the parity of the exponents. The method relies on pairing part of the integrand with the derivative of a suitable trigonometric function and rewriting the remaining factors using trigonometric identities.When the power of secant is even, tangent is chosen as the substitution variable. Since the derivative of tangent is secant squared, a factor of sec⁡2x can be...
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Related Experiment Video

Updated: Feb 2, 2026

The Combination of Transcranial Alternating Current Stimulation and Electroencephalogram
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The Combination of Transcranial Alternating Current Stimulation and Electroencephalogram

Published on: October 10, 2025

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A Fully Integrated RF-Powered Energy-Replenishing Current-Controlled Stimulator.

Sohmyung Ha, Chul Kim, Jiwoong Park

    IEEE Transactions on Biomedical Circuits and Systems
    |November 20, 2018
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces an efficient, integrated current-controlled stimulator powered by an on-chip antenna. It achieves high energy recycling and a superior stimulator efficiency factor (SEF) without external parts.

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    Simultaneous EEG Monitoring During Transcranial Direct Current Stimulation
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    Area of Science:

    • Electrical Engineering
    • Biomedical Engineering
    • Integrated Circuits

    Background:

    • Traditional stimulators often require bulky external components and suffer from energy loss.
    • Efficient power management is crucial for miniaturized, implantable or wearable stimulation devices.

    Purpose of the Study:

    • To present a fully-integrated, current-controlled stimulator powered by an on-chip antenna.
    • To demonstrate adiabatic energy-replenishing operation for enhanced efficiency.
    • To introduce a novel metric, the stimulator efficiency factor (SEF), for benchmarking.

    Main Methods:

    • On-chip generation of adiabatic supply voltages (up to 7.2 V) from a 190-MHz resonant LC tank using a self-cascading/folding rectifier.
    • Implementation of a charge replenishing scheme for energy recycling.
    • Fabrication in a 180-nm silicon-on-insulator process, occupying 0.22 mm².

    Main Results:

    • The stimulator achieves differential currents up to 145 μA.
    • 63.1% of stimulation energy is recycled via the charge replenishing scheme.
    • An SEF of 6.0 was achieved, demonstrating high stimulation efficiency.

    Conclusions:

    • The developed stimulator offers a compact, self-powered solution for efficient electrical stimulation.
    • Adiabatic power delivery and energy recycling significantly improve overall system efficiency.
    • The introduced SEF provides a valuable benchmark for future stimulator designs.