Magnetic Field, copper wire, and solenoid problem.

AI Thread Summary
To solve the magnetic field problem involving a solenoid made from a 20.0 m long copper wire, it's essential to determine the number of turns (N) the wire makes around the solenoid and the solenoid's length (L). The wire's diameter, including insulation, is 2.30 mm, and the solenoid's diameter is 2.50 cm. By calculating how many times the wire can wrap around the solenoid's circumference, one can find N. The magnetic field at the center of the solenoid can then be calculated using the appropriate formulas. This approach effectively leads to finding the magnetic field in Teslas when a current of 26.0 A is applied.
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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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