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

AI Thread Summary
The discussion centers on the linear relationship between current and voltage as illustrated by Ohm's Law, expressed as V = IR, where R represents resistance. The graph demonstrates that voltage and current are proportional, with the slope of the graph being equal to 1/R, which is the reciprocal of resistance and also known as conductance (G). This linear relationship holds true only within specific voltage ranges, which vary depending on the circuit element. Beyond these ranges, more complex relationships between voltage and current may arise. Understanding these concepts is essential for analyzing electrical circuits effectively.
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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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