Magnetic Field, copper wire, and solenoid problem.

In summary, the conversation is about solving a problem involving a solenoid made of copper wire with a specific length and diameter, and determining the magnetic field at the center when a current of 26.0 A is applied. The key is to determine the number of turns and length of the solenoid.
  • #1
Alpha Russ Omega
30
0
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:
a6f1b19204e85bbfab2c63229c0a8f81.png

efb9567caecf0adf95ae08672ab34247.png

3adb9c5743955ba0dc684224ebfff3b2.png

9bd719e1f5ce0a61a8646e08c8a867d0.png


Not sure where to start...

Any help would be greatly appreciated.
 
Last edited by a moderator:
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  • #2
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?
 
  • #3
Thank you for the hint. That helped me solve the problem. :smile:
 

1. What is a magnetic field?

A magnetic field is a region of space around a magnet or electric current where magnetic forces can be observed. It is represented by magnetic field lines and is responsible for the attraction or repulsion of magnetic materials.

2. How does a copper wire create a magnetic field?

When an electric current flows through a copper wire, it creates a magnetic field around the wire. This is because the moving electrons in the wire generate a circular magnetic field that is perpendicular to the direction of the current.

3. What is a solenoid and how does it relate to magnetic fields?

A solenoid is a coil of wire that carries an electric current. When a current flows through a solenoid, it creates a magnetic field similar to that of a bar magnet. Solenoids are commonly used in electromagnets and in electronic devices such as speakers and motors.

4. How does a magnetic field affect a copper wire in a solenoid?

When a current flows through a solenoid, it creates a magnetic field inside the coil. This magnetic field can induce a current in a nearby copper wire, causing it to become magnetized and exhibit magnetic properties.

5. What is the purpose of the "magnetic field, copper wire, and solenoid problem" in science?

The "magnetic field, copper wire, and solenoid problem" is commonly used in science to illustrate the relationship between electricity, magnetism, and magnetic fields. It also demonstrates how electric currents can generate magnetic fields and how these fields can be used to induce currents in nearby conductors.

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