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Anonymous Poster #1

Slope Of A Resistor Char

04/04/2012 5:43 AM

how the slope of the vi characteristics of a resistor is 1/R??

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#1

Re: slope of a resistor char

04/04/2012 5:50 AM

Has it got anything to do with Ohm's Law?

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#2
In reply to #1

Re: slope of a resistor char

04/04/2012 6:47 AM

no,but based on the characteristics we can say V=IR

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#3

Re: slope of a resistor char

04/04/2012 7:03 AM
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#4

Re: Slope Of A Resistor Char

04/04/2012 11:21 AM

Switch axis on the graph. Voltage(vertical axis) vs Current(horizontal axis) is the traditional form of plotting resistance. But, if you plot Current vs Voltage you get conductance, or the inverse of resistance.

This had better not be a homework question or you just cheated and deprived yourself of the learning process.

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#5
In reply to #4

Re: Slope Of A Resistor Char

04/04/2012 11:40 AM

I know how they plot the resistance with i along x and v along y my question is why the slope of the resistance is 1/R.

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#6
In reply to #5

Re: Slope Of A Resistor Char

04/04/2012 12:14 PM

If R=V/i then 1/R = i/V.

The slope of a resistance (or conductance) is a straight line in the linear world. If the slope changes then the resistance changes. The slope should = the resistance using any two points such that:

R = (V2-V1)/(i2-i1)

The only way you can get 1/R is to invert the numerator and denominator.

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#7

Re: Slope Of A Resistor Char

04/09/2012 12:56 AM

got it guys

equ of straight line y=mx + c

here slope m=(y2-y1)/(x2-x1)

here in v-I char

m=(I-0)/(V-0)=I/V

by ohms law V=IR

therefore from that the slope is 1/R.

thanks for the replies....

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