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Related Concept Videos

RL Circuits01:14

RL Circuits

2.6K
An RL circuit consists of a resistor and an inductor and may have a source of emf connected to it. The inductor in the circuit helps to prevent rapid changes in current, which can be helpful if a steady current is required but the external source has a fluctuating emf. Consider an open RL circuit connected to a source of constant emf. As soon as the circuit is closed, the current begins to increase at a rate that depends only on the value of the inductance in the circuit. The greater the...
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RL Circuit without Source01:14

RL Circuit without Source

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When a DC source is suddenly disconnected from an RL (Resistor-Inductor) circuit, the circuit becomes source-free. Assuming the inductor has an initial current denoted as I0, the initial energy stored in the inductor can be determined.
Applying Kirchhoff's voltage law around the loop of the circuit and substituting the voltages across the inductor and resistor yields a first-order differential equation. A logarithmic equation is obtained by rearranging the terms in this equation,...
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Comparison between RL and RC circuits01:24

Comparison between RL and RC circuits

4.7K
An RC circuit consists of resistance and capacitance, while in an RL circuit, capacitance is replaced by an inductor. RL and RC circuits are first-order differential circuits that store energy. An RC circuit stores energy in the electric field, while an RL circuit stores energy in the magnetic field. When connected to a battery, an RC circuit charges the capacitor, causing the current to decrease from maximum to zero upon being fully charged. This increases the voltage across the capacitor from...
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RL Circuit with Source01:14

RL Circuit with Source

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When an RL (Resistor-Inductor) circuit is connected to a DC source, the complete response of the circuit can be divided into two parts: the transient response and the steady-state response.
The transient response of the circuit is its temporary reaction to the sudden application of the DC source. This response is characterized by a current that exponentially decays to zero as time approaches infinity. During this transitional period, the inductor behaves like a short circuit, causing the source...
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RLC Series Circuit: Problem-Solving01:30

RLC Series Circuit: Problem-Solving

2.2K
Consider an AC generator with a frequency of 50 hertz and a voltage of 120 volts. The AC generator is connected to an RLC series circuit with a 20-ohms resistor, a 0.2-henry inductor, and a 0.05-farad capacitor. Determine the impedance, current amplitude, and phase difference between the generator's current and emf.
To solve the problem, first, determine the known and unknown quantities in the problem. Recalling the reactance equation for the inductor and capacitor and substituting the...
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Reaction Quotient02:35

Reaction Quotient

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The status of a reversible reaction is conveniently assessed by evaluating its reaction quotient (Q). For a reversible reaction described by m A + n B ⇌ x C + y D, the reaction quotient is derived directly from the stoichiometry of the balanced equation as
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Non-interactive zero-knowledge proof scheme from RLWE-based key exchange.

Shaofen Xie1,2,3, Wang Yao4,2,3, Faguo Wu5,2,3

  • 1School of Mathematical Sciences, Beihang University, and Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, Beijing, China.

Plos One
|August 20, 2021
PubMed
Summary

We introduce new lattice-based non-interactive zero-knowledge proof schemes using RLWE key exchange. These schemes offer improved efficiency in proof size and verification time, enhancing security against quantum attacks.

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Area of Science:

  • Cryptography
  • Quantum Computing Security

Background:

  • Lattice-based non-interactive zero-knowledge proofs are crucial for secure communication and resisting quantum attacks.
  • Existing schemes face challenges with proof size and verification speed, limiting practical application.

Purpose of the Study:

  • To propose novel non-interactive zero-knowledge proof schemes based on RLWE (Ring Learning With Errors) key exchange.
  • To address efficiency issues in proof size and verification time for lattice-based zero-knowledge proofs.

Main Methods:

  • Utilizing Hash functions and public-key encryption within RLWE-based key exchange.
  • Developing schemes designed for fixed proof size and rapid public verification.

Main Results:

  • The proposed schemes achieve a fixed proof size, reducing overhead.
  • Demonstrated rapid public verification, enhancing practical usability.
  • Achieved better effectiveness in proof size and verification time compared to prior methods.

Conclusions:

  • The new schemes offer a more efficient and practical approach to lattice-based non-interactive zero-knowledge proofs.
  • The schemes maintain essential security properties: completeness, soundness, and zero-knowledge.
  • These advancements contribute to more robust quantum-resistant cryptographic solutions.