What is the resistance of the wire and its uncertainty?

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Homework Help Overview

The discussion revolves around measuring the resistance of a wire using given values for current and potential difference, along with their uncertainties. Participants are exploring how to calculate resistance and its associated uncertainty based on these measurements.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to calculate the total percentage uncertainty based on the uncertainties of current and voltage. There are questions regarding the necessity of calculus for the problem, and some participants suggest using Ohm's law to find resistance.

Discussion Status

The discussion is ongoing, with participants providing hints and questioning the approach to calculating uncertainty. Some guidance has been offered regarding the use of Ohm's law and the need to consider tolerance values in the calculations. Multiple interpretations of the problem are being explored, particularly regarding the nature of the question and the method of calculating uncertainty.

Contextual Notes

There is mention of a lab manual that may contain relevant information, and participants are considering whether calculus is required for the problem. The question is framed as a multiple-choice format, which influences the discussion on how to approach the uncertainty calculation.

looi76
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Homework Statement


An experiment is done to measure the resistance of a wire.
The current in the wire is 1.0 \pm 0.2A and the potential difference across the wire is 8.0 \pm 0.4V.
What is the resistance of the wire and its uncertainty?

Homework Equations


-------------

The Attempt at a Solution



\frac{0.2}{1.0} \times 100 = 20\%

\frac{0.4}{8.0} \times 100 = 5\%

Total Percentage Uncertainty = 25\%

How can I get the uncertainty?
 
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looi76 said:

Homework Statement


An experiment is done to measure the resistance of a wire.
The current in the wire is 1.0 \pm 0.2A and the potential difference across the wire is 8.0 \pm 0.4V.
What is the resistance of the wire and its uncertainty?

Homework Equations


-------------

The Attempt at a Solution



\frac{0.2}{1.0} \times 100 = 20\%

\frac{0.4}{8.0} \times 100 = 5\%

Total Percentage Uncertainty = 25\%

How can I get the uncertainty?


Do you have a lab manual for your course? Sometimes they cover this in the introduction. Also, in this course, do they use calculus, or is it precalc?
 
I don't think this question need calculus! It is a multiple choice question and the choices are:
(A) (8.0 \pm 0.2)\omega
(B) (8.0 \pm 0.6)\omega
(C) (8 \pm 1)\omega
(D) (8 \pm 2)\omega
 
\omega?...I think You mean \Omega. You have been given the Voltage (V) and the Current (I). Use Ohm's law R = V/I to find the resistance. You can't add the percentages like that. Hint: You have to include the tolerance value of the Current and voltage in the formula.
 
looi76 said:
I don't think this question need calculus! It is a multiple choice question and the choices are:
(A) (8.0 \pm 0.2)\omega
(B) (8.0 \pm 0.6)\omega
(C) (8 \pm 1)\omega
(D) (8 \pm 2)\omega

Okay, which of those answers has a 25% uncertainty?
 

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