Infinite Resistance
Infinite Resistance - Related Videos
01:28
Introduction to Infinite Series
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2026
An infinite series is the sum of an infinite sequence of terms. Instead of adding only a fixed number of values, the addition continues without end. To make sense of this process, mathematicians examine partial sums, which are running totals formed by adding the first few terms of the series. If these partial sums approach a fixed number, the infinite series is said to converge. If they do not approach a finite value, the series diverges.The water tank example illustrates convergence through...
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Infinitely Repeated Games
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2025
An infinitely repeated game is a scenario where players repeatedly engage in the same game without a predetermined end. This concept is crucial in understanding long-term interactions in various fields of the social sciences, including economics and international relations. Examples: Firms Setting Prices: Companies continuously adjust prices. Trade Negotiations: Countries consistently negotiate trade terms. Tit-for-Tat Strategy Cooperative Start: Players begin with a cooperative action,...
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A Contusive Model of Unilateral Cervical Spinal Cord Injury Using the Infinite Horizon Impactor
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Cited by 46 •
2012
A reliable and repeatable way to produce a cervical unilateral spinal cord injury using the Infinite Horizon impactor is described. The method takes advantage of a custom designed frame and clamp to stabilize the spine. The standardized procedure and biomechanical injury parameters result in sufficient and sustained injuries.
01:29
Improper Integrals: Infinite Intervals
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2026
An integral is classified as improper due to an infinite interval when at least one of its limits of integration extends to positive or negative infinity. In such cases, the region under the curve is unbounded, and standard techniques for evaluating definite integrals are not directly applicable. Instead, the improper integral is defined through a limiting process that allows one to determine whether the accumulated area remains finite despite the infinite domain.Application to Exponential...
01:22
Resistivity
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2023
When a voltage is applied to a conductor, an electrical field is generated, and charges in the conductor feel the force due to the electrical field. The current density that results depends on the electrical field and the properties of the material. In some materials, including metals at a given temperature, the current density is approximately proportional to the electrical field. In these cases, the current density can be modeled as: where σ is the electrical conductivity and is represented...
FAQs
With a finite applied voltage, Ohm’s law gives current as voltage divided by resistance. As resistance approaches infinity, that quotient approaches zero, so the idealized element carries no charge flow. This limiting relation is useful because it converts a qualitative statement, such as “the path is blocked,” into a precise electrical condition for circuit calculations.
Infinite resistance provides an ideal boundary condition: current through the modeled path is set to zero while the rest of the circuit can still be analyzed. This lets a calculation distinguish a disconnected branch from conducting branches and examine how the applied voltage is distributed without assigning charge flow to the blocked path.
The ideal model predicts exactly zero current under a finite voltage because resistance is treated as unbounded. A very large finite resistance is instead an approximation of that condition, not the ideal limit itself. This distinction matters when interpreting real components, which may only approximate ideal electrical behavior in a circuit model.
In an ideal circuit diagram, represent either condition as an infinite-resistance path. Then apply Ohm’s law to that path: with finite voltage, its predicted current is zero. This representation allows the analyst to locate the current-blocking part of a circuit and continue evaluating voltage distribution elsewhere without treating the path as conductive.
It identifies where an applied voltage can be associated with a disconnected or insulating path while current remains zero through that path. In circuit analysis, this separates two questions that are often linked in conducting elements: whether charge flows and how voltage is assigned. The model therefore helps map current-blocking conditions and voltage distribution.
It is useful when physics analysis needs an ideal description of insulating materials or disconnected circuit paths. Researchers and students can use the model to compare an ideal electrical response with the behavior of real components, then judge how closely those components approximate complete opposition to charge flow. Its value is conceptual and analytical rather than a claim that materials are perfect.