Magnetism - Quick solenoid question

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    Magnetism Solenoid
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Homework Help Overview

The original poster presents a problem involving a solenoid with specific parameters, including the number of turns, length, diameter, and current, and seeks to calculate the magnetic field inside the solenoid.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the formula for the magnetic field inside a solenoid but expresses confusion over the results obtained. They question the independence of the magnetic field from the solenoid's dimensions and consider the significance of the diameter.

Discussion Status

Participants are engaged in clarifying the calculations made by the original poster. One participant points out a potential error in the current value used in the calculations, suggesting that this may have led to the incorrect result. The discussion reflects a collaborative effort to identify and rectify misunderstandings.

Contextual Notes

The original poster acknowledges using an incorrect current from a different question, which may have contributed to the confusion in their calculations.

thehammer
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Homework Statement


A 200-turn solenoid having a length of 25cm and a diameter of 10cm carries a current of 0.29A. Calculate the magnitude of the magnetic field B inside the solenoid.


Homework Equations


B = [tex]\mu[/tex]0ni


The Attempt at a Solution


Well, I plugged the numbers into the equation and got 7.28x10^-5 T as the answer. However, this is wrong. The correct answer is meant to be 0.3 mT. I can't see where I've gone wrong because the magnetic field inside a solenoid is meant to be independent of its dimensions, right?

EDIT: I found the number of turns per unit length, then put that into the equation and still get the wrong answer. I'm confused.

B = 4[tex]\pi[/tex]x10-7 Tm/A x (200/0.25) x 7.5A = 7.28x10^-5.

I've no idea why I get that. Maybe the diameter has some significance that I haven't managed to see yet.
 
Last edited:
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Show exactly what you plugged in for each factor.
 
thehammer said:
A 200-turn solenoid having a length of 25cm and a diameter of 10cm carries a current of 0.29A.
...
B = 4[tex]\pi[/tex]x10-7 Tm/A x (200/0.25) x 7.5A = 7.28x10^-5.
Looks to me like you are using the wrong current.
 
Oops. I apologise for wasting time. I used a current from a different question by accident :).
 

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