File:Negative differential resistance definition.svg

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$Graph of the characteristic curve of an electrical device with negative differential resistance (red portion of curve), showing how negative differential resistance is defined. The differential resistance rdiff at a point P on the curve is equal to the inverse slope of the curve at that point r diff ( P ) = d v d i ( P ) {\displaystyle r_{\text{diff}}(P)={dv \over di}(P)\,} This is equal to the slope of the line tangent to the graph at that point r diff ( P ) = Δ v Δ i = v 2 − v 1 i 2 − i 1 {\displaystyle r_{\text{diff}}(P)={\frac {\Delta v}{\Delta i}}={\frac {v_{2}-v_{1}}{i_{2}-i_{1}}}\,} Since Δ v > 0 {\displaystyle \Delta v>0\,} and Δ i < 0 {\displaystyle \Delta i<0\,} , therefore r diff < 0 {\displaystyle r_{\text{diff}}<0\,} the differential resistance is negative at point P.$

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Summary

Description	Graph of the characteristic curve of an electrical device with negative differential resistance (red portion of curve), showing how negative differential resistance is defined. The differential resistance r_diff at a point P on the curve is equal to the inverse slope of the curve at that point $r_{\text{diff}}(P)={dv \over di}(P)\,$ This is equal to the slope of the line tangent to the graph at that point $r_{\text{diff}}(P)={\frac {\Delta v}{\Delta i}}={\frac {v_{2}-v_{1}}{i_{2}-i_{1}}}\,$ Since $\Delta v>0\,$ and $\Delta i<0\,$ , therefore $r_{\text{diff}}<0\,$ the differential resistance is negative at point P.
Date	5 June 2013
Source	Own work
Author	Chetvorno

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File history

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	Date/Time	Dimensions	User	Comment
current	05:04, 18 July 2013	362 × 238 (17 KB)	Chetvorno	Tweaked size of labels and shape of curve
	20:53, 13 June 2013	362 × 238 (17 KB)	Chetvorno	Tweaked graph shape, reduced size of point P
	20:43, 13 June 2013	362 × 238 (17 KB)	Chetvorno	Reduced size of font
	23:27, 11 June 2013	362 × 238 (17 KB)	Chetvorno	Tweaked shape of curve, added arrowheads to emphasize directions of Δ''v'' and Δ''i''
	07:39, 10 June 2013	414 × 287 (18 KB)	Chetvorno	Changed shape of curve to clarify
	03:47, 6 June 2013	624 × 386 (19 KB)	Chetvorno	Rearranged graph to fit in Δv and Δi
	18:11, 5 June 2013	624 × 383 (17 KB)	Chetvorno	Changed style of guidelines
	18:09, 5 June 2013	624 × 383 (17 KB)	Chetvorno	Changed style of guidelines
	10:46, 5 June 2013	624 × 383 (17 KB)	Chetvorno	Reduced height of graph to save space
	09:46, 5 June 2013	632 × 442 (17 KB)	Chetvorno	{{Information \|Description ={{en\|1=Graph of the en:characteristic curve of an electrical device with en:negative differential resistance ''((<font color="red">red</font> portion of curve)'', showing how negative differential resistance i...