How do you find the magnetic field?

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Homework Help Overview

The problem involves calculating the magnetic field strength inside a solenoid using a current balance. The original poster presents a scenario where a mass balances the arm of the current balance at a specific current and length of the strip.

Discussion Character

  • Exploratory, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the relationship between the weight of the mass and the magnetic force, with the original poster attempting to equate these forces. There are questions regarding unit conversions and the value of gravitational acceleration used in the calculations.

Discussion Status

Some participants have provided guidance on potential unit conversion issues, while others share their own calculations that align with the original poster's result. There is an acknowledgment of discrepancies in the answers, but no consensus on the correct approach has been reached.

Contextual Notes

There is mention of the need to convert units to SI, and some participants reflect on past experiences with similar problems that resulted in minor discrepancies. The original poster expresses uncertainty about the correctness of their answer.

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Homework Statement


A 61 mg mass just balances the balance arm of a current balance when the strip current is 3.0 A. If the strip is 2.2 cm long, what is the magnetic field strength inside the solenoid in which the current balance is located?

Homework Equations


F = BIl (Magnetic Field x Current x Length)
F = mg (Mass x Gravity)

The Attempt at a Solution


I was thinking that the weight of the mass is equal to the force of the magnetic field so I made the forces equal to each other.

BIl = mg

and solved for B

B = mg/Il
= 9.06 T

but it turns out the answer is wrong...
Can someone please help me?
 
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At a glance it looks as though you've simply forgotten to convert the units to SI units.
 
Well I got what you got using g=9.81ms[itex]^{-2}[/itex]. Could it be that you have to use a different value for g? (Or my calculator's battery is dying...)

EDIT: What is the correct answer btw?
 
Last edited:
It says that the correct answer is 9.1 x 10^-3 T

Oh... I had another problem like this and I was also off by like some 10^-3
but I got the 9.1 part right... ehe...
 
Last edited:
Like I said before its a units thing. I get the correct answer.
 
yeah haha alrighty thanks
 

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