How do you find the magnetic field?

AI Thread Summary
To find the magnetic field strength inside a solenoid, the balance of forces equation is used, equating the magnetic force to the gravitational force. The formula B = mg/Il is applied, where B is the magnetic field strength, m is the mass, g is the acceleration due to gravity, I is the current, and l is the length of the strip. The initial calculation yielded an incorrect result of 9.06 T, which was later identified as a unit conversion error. The correct answer is 9.1 x 10^-3 T, highlighting the importance of using SI units consistently. Accurate unit conversion is crucial for solving problems in electromagnetism.
oxjenpenaxo
Messages
3
Reaction score
0

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?
 
Physics news on Phys.org
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^{-2}. 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
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top