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Related Concept Videos

Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
Ampere's Law: Problem-Solving01:31

Ampere's Law: Problem-Solving

Ampere's law states that for any closed looped path, the line integral of the magnetic field along the path equals the vacuum permeability times the current enclosed in the loop. If the fingers of the right hand curl along the direction of the integration path, the current in the direction of the thumb is considered positive. The current opposite to the thumb direction is considered negative.
Specific steps need to be considered while calculating the symmetric magnetic field distribution using...
Limits at Infinity01:24

Limits at Infinity

The function that decreases as the input becomes very large provides a clear example of how mathematical functions can behave at extreme values. When the input increases continuously, the output becomes smaller and smaller, getting closer to a particular fixed value. Although the output never actually reaches this value, it moves nearer to it without limit. This behavior is a fundamental concept in understanding how functions behave as the input grows indefinitely. The graphical representation...
Biot-Savart Law: Problem-Solving00:59

Biot-Savart Law: Problem-Solving

The magnitude and direction of a magnetic field created by a steady current can be calculated using the Biot-Savart law.
Consider a mobile phone battery bank as a source of steady current, which flows through the wire connected between the two. What is the magnitude of the magnetic field created by this current at a field point P?
To estimate the magnitude of the total magnetic field, we first consider a small current element of length dl, at a distance r from the field point. Now the following...
Principle of Virtual Work: Problem Solving01:13

Principle of Virtual Work: Problem Solving

The principle of virtual work is an essential concept in the field of mechanics and engineering. This is used to solve problems related to the equilibrium of a structure or system. It is based on the assumption that if a system is in equilibrium, the work done by all the forces during a virtual displacement is zero. This principle is applied by considering virtual displacements of the system and the corresponding work done by internal and external forces.
To apply the principle of virtual work,...
The Squeeze Theorem01:30

The Squeeze Theorem

Certain mathematical functions exhibit unpredictable or highly variable behavior near specific input values, making direct evaluation of their limits challenging. This complexity may arise from rapid oscillations or irregular patterns that obscure the function’s trend. In such cases, the Squeeze Theorem offers a reliable method for determining limits.According to the Squeeze Theorem, if a function is confined between two other functions near a particular point, and both outer functions approach...

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Updated: Jul 11, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Published on: September 8, 2023

Researchers defy the physical limits to computation.

F Flam

    Science (New York, N.Y.)
    |April 16, 1993
    PubMed
    Summary

    Computing advancements face physical limits. New physics-driven strategies are emerging to overcome these roadblocks, ensuring future technological progress in computing.

    Area of Science:

    • Physics
    • Computer Science
    • Materials Science

    Background:

    • Rapid advancements in computing technology are approaching fundamental physical limitations.
    • Miniaturization and increased complexity of computing devices are pushing the boundaries of current physical laws.

    Purpose of the Study:

    • To highlight the impending physical roadblocks to continued computing progress.
    • To introduce the necessity for novel, physics-based strategies in computer science.

    Main Methods:

    • Analysis of current trends in computing technology.
    • Consultation with physicists regarding physical constraints.
    • Exploration of emerging theoretical and experimental strategies.

    Main Results:

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    Last Updated: Jul 11, 2026

    Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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    Published on: September 8, 2023

    DNA-Tethered RNA Polymerase for Programmable In vitro Transcription and Molecular Computation
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    DNA-Tethered RNA Polymerase for Programmable In vitro Transcription and Molecular Computation

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    • Identification of fundamental physical laws as barriers to future computing.
    • Recognition of the limitations of incremental technological improvements.
    • Emergence of new research directions at the intersection of physics and computing.

    Conclusions:

    • Continued progress in computing requires a paradigm shift beyond current technological trajectories.
    • Radically new strategies, informed by physics, are essential for overcoming future roadblocks.
    • The future of computing lies in innovative approaches that respect and leverage fundamental physical principles.