Finding Magnetic Field from a Current Bearing Conductor

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Homework Help Overview

The discussion revolves around calculating the magnetic field produced by a long, thin conductor carrying a current of 8.93 A, specifically determining the distance from the conductor at which the magnetic field has a magnitude of 4.79 × 10−5 T.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the magnetic field formula and question the correctness of the equation used. There is confusion regarding the variables involved, particularly the length of the conductor.

Discussion Status

Some participants have offered corrections to the formula being used and have suggested re-evaluating calculations. There is an ongoing exploration of different interpretations of the problem, particularly concerning the length of the conductor and the calculations performed.

Contextual Notes

Participants note that the original problem does not specify the length of the conductor, which may affect the calculations. There is also mention of potential errors in arithmetic and calculator usage that could lead to discrepancies in results.

mba444
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Homework Statement


A long, thin conductor carries a current of
8.93 A.
At what distance from the conductor is
the magnitude of the resulting magnetic field
4.79 × 10−5 T? Answer in units of cm.


Homework Equations



B= Uo*I*l/(2*pi*d)

The Attempt at a Solution



i used this equation to figure out the distance but i keep getting the wrong answer
can someone explain wats going wrong ?!

thanx
 
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mba444 said:

Homework Statement


A long, thin conductor carries a current of
8.93 A.
At what distance from the conductor is
the magnitude of the resulting magnetic field
4.79 × 10−5 T? Answer in units of cm.


Homework Equations



B= Uo*I*l/(2*pi*d)

The Attempt at a Solution



i used this equation to figure out the distance but i keep getting the wrong answer
can someone explain wats going wrong ?!

thanx
What is the l in your equation?
 


its the length
 


mba444 said:
its the length
Well, the formula is incorrect, which probably explains why you've been getting the wrong answer. How did you arrive at that particular formula?

As an aside, what have you been using for the length of the wire since the question does not specify how long the conductor is?
 


Oops

i mixed up the parallel conducters equation with the straight wire equation

therefore is this the one B=Uo*i/2*pi*d
 


mba444 said:
Oops

i mixed up the parallel conducters equation with the straight wire equation

therefore is this the one B=Uo*i/2*pi*d
That looks good to me.
 


wrong answer !

d=(4*pi*10^-7*8.93)/(2*pi*4.79*10^-5)= 0.011869 this is in meters so i converted it into cm i got 1.1869
 


mba444 said:
wrong answer !

d=(4*pi*10^-7*8.93)/(2*pi*4.79*10^-5)= 0.011869 this is in meters so i converted it into cm i got 1.1869
I'd recheck your arithmetic and make sure that you are punching the numbers into your calculator correctly.
 


i did checked it again but still the same answer
 
  • #10


mba444 said:
i did checked it again but still the same answer
Well using your numbers I get a different answer. You must be punching the numbers into your calculator incorrectly.
 
  • #11


oka i got 13.0501 cm after correct my calculation but still the answer is wrong !
 
  • #12


mba444 said:
oka i got 13.0501 cm after correct my calculation but still the answer is wrong !
Still not the same answer as I get. All I can suggest is that you check the manual that came with your calculator to ensure that you are entering the numbers correctly.
 
  • #13


i figured out my mistake thanks for your help

the answer is 3.7286 cm
 

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