What is the resistance of the wire and its uncertainty?

AI Thread Summary
The discussion revolves around calculating the resistance of a wire using Ohm's law, given a current of 1.0 ± 0.2 A and a potential difference of 8.0 ± 0.4 V. The calculated resistance is 8.0 ohms, but the uncertainty needs to be determined accurately. Participants note that the percentage uncertainties for current and voltage are 20% and 5%, respectively, leading to a total uncertainty of 25%. The conversation emphasizes the importance of including tolerance values in the calculations and suggests that the correct answer must reflect this uncertainty.
looi76
Messages
80
Reaction score
0

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?
 
Physics news on Phys.org
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?
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Struggling to make relation between elastic force and height'
Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
Back
Top