NONLINEAR EQUATIONS FOR CIRCUITS CONTAINING EXPLODING WIRES

Abstract

A set of nonlinear, ordinary differential equations applicable to R- L-C circuits with exploding wires is developed. From these an exact first integral, or conservation law, is obtained and approximate solutions of the set are found by the Picard method. The ranges of validity of these approximate solutions are examined and criteria developed for scaling exploding wire experiments so that the theoretical expressions will be applicable. Calculations of time-to-melt are made and compared with experimental values. Agreement is good enough to justify confidence in the approximations used. The major regimes of circuit behavior are delineated and discussed.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0479020

Entities

People

  • Frederick D. Bennett

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Circuits
  • Climate Change
  • Coefficients
  • Differential Equations
  • Energy
  • Equations
  • Exploding Wires
  • Heat Energy
  • Latent Heat
  • Lc Circuits
  • Measurement
  • Melting Point
  • New York
  • Rlc Circuits
  • Specific Heat
  • Time Intervals
  • Vaporization

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Microwave Engineering.
  • Nuclear Non-Proliferation and International Security