How Does a Linear Current vs Voltage Graph Illustrate Ohm's Law?

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Homework Help Overview

The discussion revolves around the relationship between current and voltage as illustrated by a linear graph, specifically in the context of Ohm's Law. Participants explore the mathematical relationships and implications of the graph's slope.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants inquire about the mathematical relationship demonstrated by the graph, the significance of the slope, and the conditions under which the linear relationship holds.

Discussion Status

Some participants have provided insights into the relationship defined by Ohm's Law and the implications of the slope in terms of resistance and conductance. There are ongoing questions regarding the specific nature of the graphs and the conditions affecting linearity.

Contextual Notes

There is mention of the limitations of the linear relationship within certain voltage ranges, suggesting that the discussion may involve assumptions about circuit elements and their behavior under different conditions.

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I had to draw a Current vs Voltage graph, and they were both proportional and linear.
i just need help with these questions : what mathematical relationshop (proportionally) does the graph demonstrate between voltage and current?

What do the slopes represent?

pretty easy questions.
 
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V=IxR (ohms law) If you graph I vs V the slope is 1/Resistance
 
i know what your talking about, but i can't remember exactly how it goes, but your talking about the 3-d graphs correct?
 
the relationship between voltage and current is V = IR, where R is resistance. So R is the proportionality constant. Now, divide by R on both sides to get V/R = I. Now, 1/R if the proportionality constant. 1/R is also known as conductance and is represented by the letter G.

Keep in mind that voltage and and current are only linearly related within a certain voltage range, where this voltage range depends on the circuit element in question. Then weird more complicated relationships occur. The power rating of an element describes this voltage/current range.
 

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