Find distance with magnetic field and current?

In summary, the question asks for the distance at which the magnetic field strength from a current-carrying wire is equal to that of a refrigerator magnet. The equation B=(μo/2pi)*(I/d) is used, where μo=4pi*10^-7, with a current of 38 A and a field strength of 4.35 x 10^-3 T. The attempt at solving the problem resulted in a distance of 0.0017 m, but this may be incorrect due to a possible error in the units used. It is important to double check units and calculations to ensure accuracy.
  • #1
conov3
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Homework Statement



At what distance (in m) from a very thin, straight wire carrying a 38 A current would the magnetic field strength be the same as a refrigerator magnet of 4.35 x 10-3 T?

Homework Equations



B=(μo/2pi)*(I/d)
where μo=4pi*10^-7

The Attempt at a Solution



4.35e-3(d)=2.0e-7*(38)
d=.0017m
It says this is wrong? so I must have done something wrong.. any help would be appreciated!
 
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  • #2




I see that you have attempted to use the equation B=(μo/2pi)*(I/d) to solve this problem. However, your calculation may be incorrect. Please double check your units and make sure they are consistent throughout the calculation. Additionally, keep in mind that the distance d should be measured in meters, so your final answer should also be in meters. If you are still having trouble, please provide your work so I can help you identify where you may have gone wrong. Remember, it's always important to check your work and units to ensure accuracy in your calculations. Good luck!
 

FAQ: Find distance with magnetic field and current?

What is the formula for calculating the distance with magnetic field and current?

The formula for calculating the distance with magnetic field and current is d = μ0 x I / 2π x B, where d is the distance, μ0 is the magnetic constant, I is the current, and B is the magnetic field strength.

How does the direction of the current affect the distance calculation?

The direction of the current does not affect the distance calculation. The distance is solely determined by the strength of the magnetic field and the magnitude of the current.

What is the unit of measurement for distance in this calculation?

The unit of measurement for distance in this calculation is meters (m).

Can this formula be used for any type of magnetic field and current?

Yes, this formula can be used for any type of magnetic field and current as long as the units are consistent. It is important to note that the magnetic field strength must be perpendicular to the direction of the current for an accurate distance calculation.

Are there any limitations to using this formula for distance calculation?

One limitation of using this formula for distance calculation is that it assumes the current is uniform throughout the entire length of the conductor. This may not always be the case in real-world situations and could result in a slightly inaccurate distance calculation.

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