How to Calculate Current in a Solenoid with Given Field and Dimensions?

In summary, a solenoid is an electromagnet that consists of a wire coil with an electric current passing through it. Current flows through a solenoid when an electric potential is applied to the ends of the coil. The strength of the magnetic field in a solenoid depends on the number of turns in the coil, the current flowing through it, and the core material. A solenoid's magnetic field can interact with other magnetic fields, inducing currents in nearby conductors and attracting or repelling other magnetic materials. Solenoids have various real-world applications in electromechanical devices, speakers, and industrial machinery.
  • #1
PeachBanana
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Homework Statement



A 27.0-cm long solenoid 1.25 cm in diameter is to produce a field of 0.215 T at its center. How much current should the solenoid carry if it has 900 turns of the wire?

Homework Equations



B = μIN / l

The Attempt at a Solution



Why am I given the diameter plus the length? Everything else is obvious except this concept. I thought l would equal = 0.27 m. Should I add 0.625 + 0.27 m because the magnetic field is produced at the center?
 
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  • #2
you don't need the diameter at all for this problem ;)
 
  • #3
Aha! Extra information! Thank you.
 

FAQ: How to Calculate Current in a Solenoid with Given Field and Dimensions?

What is a solenoid?

A solenoid is a type of electromagnet that consists of a coil of wire with an electric current passing through it. It is typically cylindrical in shape and produces a magnetic field when current flows through it.

How does current flow through a solenoid?

Current flows through a solenoid when an electric potential is applied to the ends of the wire coil. This creates an electric field within the coil, causing electrons to move through the wire and generate a magnetic field.

What factors affect the strength of the magnetic field in a solenoid?

The strength of the magnetic field in a solenoid is affected by the number of turns in the coil, the current flowing through the coil, and the material of the core used in the coil. Increasing any of these factors will result in a stronger magnetic field.

How does a solenoid's magnetic field interact with other magnetic fields?

A solenoid's magnetic field can interact with other magnetic fields in a few ways. If the solenoid is powered by an alternating current, the magnetic field will alternate in direction and can induce a current in nearby conductors. Additionally, the solenoid's magnetic field can attract or repel other magnetic materials depending on their polarity.

What are some real-world applications of solenoids?

Solenoids have a variety of practical applications, such as in electromechanical devices like door locks, car starters, and MRI machines. They are also used in speakers and headphones to convert electrical signals into sound waves. Solenoids are also commonly found in industrial machinery for tasks like controlling valves and switches.

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