Using Min and Max slope method to determine uncertainties

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Homework Help Overview

The problem involves analyzing a graph that depicts the relationship between voltage (V) and current (I) in an electrical circuit, specifically using the max and min slope method to determine the equation of the line of best fit and the equivalent resistance along with their uncertainties.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of Ohm's law (V=IR) and its representation as a linear equation. Questions arise regarding the availability of uncertainties for current and voltage measurements, which are necessary for applying the max and min slope method effectively.

Discussion Status

The discussion is ongoing, with participants exploring the implications of missing uncertainty data and questioning the validity of the experimental setup. Some guidance has been offered regarding the interpretation of the graph and the importance of not forcing the line of best fit through the origin.

Contextual Notes

Participants note that the problem lacks specific information about the uncertainties in the measurements, which complicates the application of the max and min slope method. There is also a recognition of potential systematic errors in the experimental data.

hibachii
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Homework Statement


The graph below shows the potential (V) applied to, and the current I(mA) drawn by, an electrical circuit. Use the max and min slope method to determine the:
a) equation of line of best fit of the graph below (answer must be and equation relating to V and I). Your answers must include uncertainties
b)equivalent resistance of the circuit and the uncertainty in this resistance.


Homework Equations


V=IR


The Attempt at a Solution


I have no idea on how to tackle this question. We are given this much info on the question and left to do it by ourselves. PLease help!
 
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Well you know Ohm's law, which is just V=IR

a graph of V on the vertical vs I on the horizontal will give R as the gradient yeah?
It's like V=IR is in the form of a straight line y=mx+b, where y is the V and the x is the I. Hence the gradient m represents R in this case.
the y intercept b is zero in ohm's law V=IR because it's assumed that when V=0, I =0.
However you might have a systematic error and hence in experimental values your line of best fit most often will not pass exactly through (0,0). Please please NEVER force a line of best fit through the origin.

Anyway, max and min slope. Did they give you the uncertainties for the current and voltage? Only with them can you graph the lines of best and worst fit
 
no they did not. they told us to work it out using max and min slope method. The only thing close to working out uncertainty is that current is measured in mA.
 
lmao that's slightly dodgy =P
the fact that it's measured in milliamps doesn't really help with the uncertainty because it still doesn't tell you the limit of reading

in that case i think you should just like try and draw the line of best fit, then two lines of worst fit that kind of look reasonable? =S (like not too wildly off)
dodgy question =(
what do other physics forumists think? =D
 

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