Path Resistance

1. Meaning of "vs"

If you plot a quantity vs another quantity, you should say

y vs x,

not x vs y.

2. Equation

The equation we are using today is,

,

where is the surface resistivity.

3. Fixed width

If the width is fixed, we can get

,

so if we plot R vs l, then the slope will be m = R_s / w, and y-intercept b as the "touching resistance", and therefore

,

.

4. Fixed length

If the length is fixed, we can get

.

4.1 R vs 1/w

If we plot R vs 1/w, then the slope will be m = R_s l, and y-intercept b as the "touching resistance", and therefore

,

.

Note: the uncertainty of 1/w is

.

4.2 Natural Log (not suggested)

The equation could be rewritten as

,

in this way, the y-intercept is b = ln(R_sl), but the touching resistance can not be determined easily.

5. New Requirements:

1: DELETE the markers in the future, keep only the error bars.

2: SHOW the equation of how you calculated/propagated the errors.

(Last update: 17:07, 10/09/2015)