Magnetic Field, copper wire, and solenoid problem.

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SUMMARY

The discussion centers on calculating the magnetic field at the center of a solenoid formed by a 20.0 m long copper wire with a diameter of 2.30 mm, wrapped tightly to create a solenoid with a diameter of 2.50 cm. The current flowing through the wire is 26.0 A. Key steps include determining the number of turns (N) the wire makes around the solenoid and calculating the solenoid's length (L) based on the wire's circumference. The solution involves applying the formula for the magnetic field in a solenoid, which is directly related to the number of turns and the current.

PREREQUISITES
  • Understanding of solenoid physics and magnetic fields
  • Familiarity with the formula for magnetic field strength in a solenoid
  • Basic knowledge of wire dimensions and how to calculate circumference
  • Ability to perform unit conversions (e.g., mm to m)
NEXT STEPS
  • Learn the formula for magnetic field strength in a solenoid: B = μ₀(N/L)I
  • Research how to calculate the circumference of a circle to determine wire turns
  • Explore the relationship between current, turns, and magnetic field strength
  • Study practical applications of solenoids in electromagnetic devices
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetism and solenoid applications will benefit from this discussion.

Alpha Russ Omega
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Hello:
I am having trouble starting this problem.

"20.0 m long copper wire, 2.30 mm in diameter including insulation, is tightly wrapped in a single layer with adjacent coils touching, to form a solenoid of diameter 2.50 cm. What is the field at the center when the current in the wire is 26.0 A? Give the field in Teslas."

I figured I would need to use these equations:
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Not sure where to start...

Any help would be greatly appreciated.
 
Last edited by a moderator:
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The trick here is to determine how many turns (N) the wire makes around the solenoid and how long (L) the solenoid is. So, haow many times can 20 meters wrap around this solenoid's circumference?
 
Thank you for the hint. That helped me solve the problem. :smile:
 

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