Magnetic Fields and Maximum Current

Click For Summary
SUMMARY

The maximum current that a wire can carry in an experiment measuring the Earth's magnetic field (4.5 x 10-5 T) at a distance of 0.60 m is calculated using the formula B = (4π x 10-7)I / (2πR). The initial calculation of 135 A was incorrect due to misunderstanding the +/- 1% measurement error. Correctly applying the 1% tolerance to the magnetic field value leads to the accurate determination of the maximum current.

PREREQUISITES
  • Understanding of magnetic fields and their measurement
  • Familiarity with the formula B = (4π x 10-7)I / (2πR)
  • Knowledge of percentage error calculations
  • Basic physics concepts related to electromagnetism
NEXT STEPS
  • Study the effects of distance on magnetic field strength
  • Learn about the implications of measurement error in experimental physics
  • Explore the principles of electromagnetism in greater detail
  • Investigate other applications of the Biot-Savart Law
USEFUL FOR

Physics students, experimental researchers, and educators looking to deepen their understanding of magnetic fields and current measurements in electromagnetism.

Mehta29
Messages
16
Reaction score
0
Hey guys I'm new here and needless to say I am completely lost...

well here is the problem...

What is the maximum current that a wire can carry if an experimenter is performing an experiment 0.60 m away that deals with the Earth's magnetic field (4.5*10-5 T), which she wishes to measure to +/- 1 percent?

i thought I could just plug the #'s given into

B = (4pi*10^-7)I / (2(pi)R)

and i ended up with 135 A...which seemed muuuuuuuuch too high...and assumably was wrong...

(4.5*10^-5) = (4pi*10^-7)I / 2(pi)(.6??)

It would be greatly appreciated if i could get this help tonight...but I just want to understand what I'm doing wrong for the most part...
 
Physics news on Phys.org
well i found the error of my ways...

the whole +/- 1% threw me off...

i get the right answer if i multiply by the magnetic field by 1% and then re-plug everything in...

hopefully this helps someone in the future...
 

Similar threads

Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
12
Views
3K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 23 ·
Replies
23
Views
6K
Replies
3
Views
1K
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
11
Views
5K