Determine Current in a Solenoid

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SUMMARY

The discussion focuses on calculating the current required to produce a uniform magnetic field of 0.170 T in a solenoid with 4200 turns, a length of 1.10 m, and a diameter of 1.50 cm. The participant initially used the formula B=μ0nI/2r but encountered an error in their calculation, arriving at 0.483 A. After reevaluating the problem, they successfully resolved the issue using magnetic flux concepts, indicating the importance of understanding both solenoid parameters and magnetic field equations.

PREREQUISITES
  • Understanding of solenoid physics and magnetic fields
  • Familiarity with the equation B=μ0nI/2r
  • Knowledge of magnetic flux concepts
  • Basic algebra for rearranging equations
NEXT STEPS
  • Study the derivation of the magnetic field inside a solenoid
  • Learn about the role of magnetic flux in electromagnetic applications
  • Explore the effects of solenoid dimensions on magnetic field strength
  • Investigate the use of Ampere's Law in calculating current in solenoids
USEFUL FOR

Electrical technicians, physics students, and anyone involved in designing or analyzing electromagnetic devices will benefit from this discussion.

rmcgovern
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Homework Statement


As a new electrical technician, you are designing a large solenoid to produce a uniform 0.170 T magnetic field near the center of the solenoid. You have enough wire for 4200 circular turns. This solenoid must have a length of 1.10 m and a diameter of 1.50 cm. What current will you need to produce the necessary field?


Homework Equations


B=μ0nI/2r at the center of a solenoid


The Attempt at a Solution


I have rearranged the equation to get I=B2r/μ0n. I found the radius to be 7.5*10^-3 m (1/2 diameter) and n=4200 (# of turns). Plugging in the numbers I got a result of 0.483 A which is apparently incorrect. I am confused as to why the length of the solenoid was included in the problem description and am unclear as to where I may have gone wrong (having double checked the math). Does anyone have any suggestions?
 
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Nevermind, figured it out using flux.
 

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