Class 11 Exam  >  Class 11 Questions  >  The error in measuring resistance of a wire i... Start Learning for Free
The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.?
Most Upvoted Answer
The error in measuring resistance of a wire is 1% that in measuring ra...
Calculating Error in Measuring Resistivity

Given Errors:
- Error in measuring resistance: 1%
- Error in measuring radius: 1%
- Error in measuring length: 1%

Formula for Resistivity:
The resistivity (ρ) of a wire is calculated using the formula:
ρ = (R * A) / L
where R is the resistance, A is the cross-sectional area, and L is the length of the wire.

Error Propagation Formula:
The error in the resistivity can be calculated using the error propagation formula:
δρ/ρ = sqrt((δR/R)^2 + (δA/A)^2 + (δL/L)^2)

Calculating Error:
- Given that error in measuring resistance (δR/R) = 1%
- Given that error in measuring radius (δA/A) = 1%
- Given that error in measuring length (δL/L) = 1%
Now, substituting these values into the error propagation formula:
δρ/ρ = sqrt((1%^2 + 1%^2 + 1%^2)
δρ/ρ = sqrt(0.01 + 0.01 + 0.01)
δρ/ρ = sqrt(0.03)
δρ/ρ = 0.1732
Therefore, the error in measuring the resistivity of the wire is approximately 0.1732 or 17.32%. This means that the measurement of resistivity can have an error of 17.32% due to the combined errors in measuring resistance, radius, and length of the wire.
Community Answer
The error in measuring resistance of a wire is 1% that in measuring ra...
3%
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Top Courses for Class 11

The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.?
Question Description
The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.?.
Solutions for The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.? defined & explained in the simplest way possible. Besides giving the explanation of The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.?, a detailed solution for The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.? has been provided alongside types of The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.? theory, EduRev gives you an ample number of questions to practice The error in measuring resistance of a wire is 1% that in measuring radius 1% and that in length one percent then what is the error in measuring resistivity of wire.? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev